Linear Graphs & Gradients

Tutorial Videos

Corbett Maths Coordinates

Corbett Maths Shapes on a Grid

Online Platforms (with Videos & Exercises)

Activities & Resources

• Interactive-Maths.com Coordinates Battleships
• Pixi Maths
  • Coordinates ppt
  • 2D Coordinates Shape Task (Positive Quadrant)
  • 2D Coordinates RAG (All Four Quadrants)

Worksheets

• Dr Austin Maths
  • Plotting Coordinate Letters Activity (Editable Word | PDF | Answers)
• Corbettmaths
  • Coordinates Practice Questions & Solutions
  • Coordinates Worksheet & Solutions
• Maths 4 Everyone
  • Coordinates KS2 SATS Questions and Solutions

Dr Frost Video

K122: Determine the Coordinate of a Point in the First Quadrant.

K123: Plot a Point in the First Quadrant Given its Coordinates.

K124: Determine the Coordinate of a Point in Any Quadrant.

K125: Plot a Point in Any Quadrant Given its Coordinates.

K126: Find the Coordinates of a Vertex of a Square, Given the 3 Other Coordinates.

Dr Frost Slides & Activities

• All in one summary sheet

Extra Questions

• Dr Frost Questions

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 122 Determine the Coordinate of a Point in the First Quadrant.
• 123 Plot a Point in the First Quadrant Given its Coordinates.
• 124 Determine the Coordinate of a Point in Any Quadrant.
• 125 Plot a Point in Any Quadrant Given Its Coordinates.
• 126 Find the Coordinates of a Vertex of a Square, Given the 3 Other Coordinates.
• Combination of All

Coordinates Key Skills Section (for selecting more than one)

Other Videos & Multimedia

Corbett Maths 3D Coordinates

Activities & Resources

• Pixi Maths
  • 3D Coordinates ppt
• Interactive-Maths.com Autograph File with Cuboid

Worksheets

• Corbettmaths
  • 3D Coordinates Practice Questions & Solutions
• Pixi Maths
  • 3D Coordinates RAG

Tutorial Videos

Corbett Maths y Equals Graphs

Corbett Maths x Equals Graphs

Maths by Fives Horizontal & Vertical Lines

Online Platforms (with Videos & Exercises)

Activities & Resources

• Pixi Maths
  • Horizontal & Vertical Straight Line Graphs ppt

Worksheets

• Dr Austin Maths
  • Finding Equations of Vertical and Horizontal Lines Name the Film (Editable Word | PDF | Answers)
• Corbettmaths
  • x= & y= Graphs Worksheet & Solutions

Dr Frost Video

K389: Draw a Horizontal, Vertical or Diagonal Line.

K400: Find an Equation of a Horizontal, Vertical or Diagonal line.

Dr Frost Slides & Activities

• All in one summary sheet

Extra Questions

• Dr Frost Questions

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 389 Draw a Horizontal, Vertical or Diagonal Line.
• 400 Find an Equation of a Horizontal, Vertical or Diagonal line.
• Combination of All

Straight Line Graphs Key Skills Section (for selecting more than one)

Tutorial Videos

Maths Genie Finding the Gradient of a Line

Corbett Maths Gradient of a Line

Corbett Maths Gradient Between Two Points

Maths by Fives Find the Slope Between Two Points

Online Platforms (with Videos & Exercises)

• Khan Academy Slope

Activities & Resources

• Maths Genie Finding the Gradient Practice
• PhET Graphing Lines

Worksheets

• Acute Learning Problem Pairs as PowerPoint or PDF
• Dr Austin Maths
  • Finding Gradients of Straight Lines Practice Grid (Editable Word | PDF | Answers)
  • Finding Fractional Gradients Practice Grid (Editable Word | PDF | Answers)
  • Finding Gradients from Coordinates Practice Strips (Editable Word | PDF | Answers)
  • Gradients of Straight Lines Match-Up (Editable Word | PDF | Answers)
• Corbettmaths
  • Gradients Practice Questions & Solutions
  • Gradients Worksheet & Solutions
  • Gradient AQA Level 2 Practice Questions & Solutions
• Maths Genie The Gradient of a Line Booklet & Solutions (GCSE)
• Kuta Software Worksheets
  • Finding Slope
  • Finding Slope from a Graph
  • Finding Slope from Two Points

Dr Frost Video

K396: Find the Gradient of a Straight Line Which is Drawn.

K397: Find the Gradient of a Line Given Two Coordinates.

Dr Frost Slides & Activities

• All in one summary sheet

Extra Questions

• Dr Frost Questions

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 396 Find the Gradient of a Straight Line Which is Drawn.
• 397 Find the Gradient of a Line Given Two Coordinates.
• Combination of All

Straight Line Graphs Key Skills Section (for selecting more than one)

Tutorial Videos

Corbett Maths Mid-Point of a Line

Corbett Maths Ratio in Coordinate Geometry

Online Platforms (with Videos & Exercises)

Activities & Resources

• Mathsbot interactive table
• Pixi Maths
  • Midpoints of Line Segments ppt

Worksheets

• Dr Austin Maths
  • Midpoints and Lengths Practice Strips (Editable Word | PDF | Answers)
  • Dividing a Line Segment in a Ratio Practice Strips (Editable Word | PDF | Answers)
• Corbettmaths
  • Mid-Point between Two Coordinates Worksheet & Solutions
  • Mid-Point & Ratio of a Line AQA Level 2 Practice Questions & Solutions
• Maths 4 Everyone
  • Midpoints of Line Segments First Steps
  • Midpoints of Line Segments Strengthen
  • Midpoints of Line Segments Extend
  • Midpoints Codebreaker

Dr Frost Video

K320: Find the Midpoint of Two Points.

K321: Find the Coordinates of a Point that Shares a Line in a Ratio.

K322: Find a Coordinate Given Another and Their Midpoint.

Dr Frost Slides & Activities

• All in one summary sheet

Extra Questions

• Dr Frost Questions

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 320 Find the Midpoint of Two Points.
• 321 Find the Coordinates of a Point that Shares a Line in a Ratio.
• 322 Find a Coordinate Given Another and Their Midpoint.
• K187d: Find the coordinate of a point between the x and y intercepts in a particular ratio.
• Combination of All

Coordinates Key Skills Section (for selecting more than one)

Tutorial Videos

Corbett Maths Distance Between Two Coordinates

Online Platforms (with Videos & Exercises)

Activities & Resources

• Pixi Maths
  • Distance Between Two Points ppt

Worksheets

• Andy Lutwyche
  • Distance Between Two Points Codebreaker Word Doc or PDF and Solution Word Doc or PDF

• Dr Austin Maths
  • Midpoints and Lengths Practice Strips (Editable Word | PDF | Answers)
• Corbettmaths
  • Distance Between Two Coordinates Practice Questions & Solutions
  • Distance Between Two Coordinates Worksheet & Solutions
  • Distance Between Two Points AQA Level 2 Practice Questions & Solutions

Dr Frost Video

K507: Use Pythagoras’ Theorem to Find the Distance Between Two Points.

Dr Frost Slides & Activities

• All in one summary sheet

Extra Questions

• Dr Frost Questions

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 507 Use Pythagoras’ Theorem to Find the Distance Between Two Points.
• K229b: Use Pythagoras’ theorem to find the distance between two points in surd form.

Straight Line Graphs Key Skills Section (for selecting more than one)

Tutorial Videos

Corbett Maths Drawing Graphs xy Table

Online Platforms (with Videos & Exercises)

Activities & Resources

• Pixi Maths
  • Sketching Straight Line Graphs (Using a Table of Values) ppt
  • Linear Graphs from Table of Values Dominoes

Worksheets

• Dr Austin Maths
  • Plotting Linear Graphs Practice Grid (Editable Word | PDF | Answers)
• Corbettmaths
  • Drawing Linear Graphs Practice Questions & Solutions
  • Drawing Linear Graphs Worksheet & Solutions
• Pixi Maths
  • Linear Graphs from Table of Values RAG

Dr Frost Video

K394: Determine Whether a Point Lies On a Line Given Its Equation.

K388: Complete a Table of Values for a Linear Graph.

K395: Determine the Coordinate of the x or y Intercept of a Straight Line Given Its Equation.

K390: Draw a Line From Its Equation When the Gradient is Positive.

K391: Draw a Line From Its Equation When the Gradient is Negative.

K392: Draw a Line From Its Equation When the Gradient is a Fraction.

Dr Frost Slides & Activities

• Dr Frost Slides (4)

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 394 Determine Whether a Point Lies On a Line Given Its Equation.
• 388 Complete a Table of Values for a Linear Graph.
• 395 Determine the Coordinate of the x or y Intercept of a Straight Line Given Its Equation.
• 390 Draw a Line From Its Equation When the Gradient is Positive.
• 391 Draw a Line From Its Equation When the Gradient is Negative.
• 392 Draw a Line From Its Equation When the Gradient is a Fraction.
• Combination of All

Straight Line Graphs Key Skills Section (for selecting more than one)

Tutorial Videos

Maths by Fives Complete a Table of Values

Maths by Fives Graphing a Line by Plotting Points

Online Platforms (with Videos & Exercises)

Activities & Resources

• Pixi Maths
  • Sketching Straight Line Graphs Implicit Equations ppt

Worksheets

• Dr Austin Maths
  • Plotting Linear Graphs Using the Cover-Up Method Practice Grid (Editable Word | PDF | Answers)
• Pixi Maths
  • Implicit Equations RAG

Dr Frost Video

K393: Draw a Line With an Equation in the Form ax+by=c.

Dr Frost Slides & Activities

• All in one summary sheet

Extra Questions

• Dr Frost Questions

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 393 Draw a Line With an Equation in the Form ax+by=c.

Straight Line Graphs Key Skills Section (for selecting more than one)

Further Practice

• Practise Questions

Tutorial Videos

Corbett Maths Equation of a Line

Online Platforms (with Videos & Exercises)

Activities

Worksheets

Dr Frost Video

K399: Find the y-Intercept of a Straight Line Which is Drawn.

K398: Find the Gradient or y-Intercept of a Line Given Its Equation in the Form y=mx+c.

Dr Frost Slides & Activities

• Slides & Worksheet

Topic Test

• Standard Test

Extra Questions

• Dr Frost Questions

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 399 Find the y-Intercept of a Straight Line Which is Drawn.
• 398 Find the Gradient or y-Intercept of a Line Given Its Equation in the Form y=mx+c.
• Combination of All

Straight Line Graphs Key Skills Section (for selecting more than one)

Further Practice

• Practise Questions

Tutorial Videos

Corbett Maths Drawing Linear Graphs Using Gradient & Intercept

Maths by Fives Graph a Line with a Point and Slope

Online Platforms (with Videos & Exercises)

Activities

• Craig Barton Variation Theory Gradient and Intercept when y = Presentation & Questions
• Pixi Maths
  • Sketching Straight Line Graphs (Using m and c) ppt

Worksheets

• Corbettmaths
  • Drawing Linear Graphs Practice Questions & Solutions
  • Drawing Linear Graphs Worksheet & Solutions
• Danielle Moosajee Sketching Linear Graphs Using the Gradient and the y (1)

Dr Frost Video

Dr Frost Slides & Activities

• Slides & Worksheet

Topic Test

• Standard Test

Extra Questions

• Dr Frost Questions

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 390 Draw a Line From Its Equation When the Gradient is Positive.
• 391 Draw a Line From Its Equation When the Gradient is Negative.
• 392 Draw a Line From Its Equation When the Gradient is a Fraction.
• Combination of All

Straight Line Graphs Key Skills Section (for selecting more than one)

Further Practice

• Practise Questions

Tutorial Videos

Corbett Maths Finding Equation of a Linear Graph

Corbett Maths Finding Equation of a Line

Online Platforms (with Videos & Exercises)

Activities

• Pixi Maths
  • Equations of Linear Graphs from a Sketch ppt

Worksheets

• Dr Austin Maths
  • Finding Equations of Straight Lines from Graphs Practice Grid (Editable Word | PDF | Answers)
  • Finding Harder Equations of Straight Lines from Graphs Practice Grid (Editable Word | PDF | Answers)
  • Finding the Gradient and Intercept Practice Strips (Editable Word | PDF | Answers)
  • Finding the Gradient and Intercept Practice Strips (Editable Word | PDF | Answers)
  • Gradient and Intercept of a Straight Line Fill in the Blanks (Editable Word | PDF | Answers)
  • Rearranging Equations of Straight Lines Practice Strips (Editable Word | PDF | Answers)
  • Equations of Straight Lines Odd One Out (Editable Word | PDF | Answers)
  • Equation of a Straight Line Fill In The Blanks (Editable Word | PDF | Answers)
  • Harder Rearranging Equations of Straight Lines Practice Strips (Editable Word | PDF | Answers)
  • Equation of a Straight Line Spider Diagrams (Editable Word | PDF | Answers)
  • Harder Equation of a Straight Line Spider Diagrams (Editable Word | PDF | Answers)
• Corbettmaths
  • Equation of a Line Practice Questions & Solutions
  • Equation of a Line Worksheet & Solutions
• Maths 4 Everyone
  • Straight Line Equation First Steps
  • Straight Line Equations Strengthen
  • Gradients and Intercepts Loop Set 1
  • Gradients and Intercepts Loop Set 2
• Pixi Maths
  • Equation of a Line from a Graph RAG

Dr Frost Video

K401: Find an Equation of a Straight Line Which is Drawn.

Dr Frost Slides & Activities

• Slides & Worksheet

Topic Test

• Standard Test

Extra Questions

• Dr Frost Questions

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 401 Find an Equation of a Straight Line Which is Drawn.

Straight Line Graphs Key Skills Section (for selecting more than one)

Further Practice

• Practise Questions

Tutorial Videos

Corbett Maths Equation of a Line Through a Point (Using y-y₁=m(x-x₁))

Corbett Maths Finding the Equation of a Line Passing Through Two Points

Maths by Fives Finding the Equation of a Line Using y=mx+b

Maths by Fives Finding the Equation of a Line Given Two Points

Maths by Fives Find x & y Intercepts

Online Platforms (with Videos & Exercises)

Activities

• Pixi Maths
  • Equation of a Line from Two Points ppt

Worksheets

• Dr Austin Maths
  • Finding Equations from Gradient and a Point Practice Strips (Editable Word | PDF | Answers)
  • Finding Equations from Two Points Practice Strips (Editable Word | PDF | Answers)
• Corbettmaths
  • Equation of a Line Practice Questions & Solutions
  • Equation of a Line Worksheet & Solutions
  • Equation of a Line AQA Level 2 Practice Questions & Solutions
• Pixi Maths
  • Equation of a Line from Two Points RAG

Dr Frost Video

K402: Find an Equation of a Straight Line Given Its Gradient and a Point.

K403: Find an Equation of a Straight Line Given Two Points.

K404: Find the Gradient or y-Intercept of a Line Given Its Equation in the Form px+qy=r.

K779: Find an Equation of a Straight Line Given the Gradient and One Point Using y−y₁=m(x−x₁).

K780: Find an Equation of a Straight Line Given Two Points Using y−y₁=m(x−x₁).

Dr Frost Slides & Activities

• Slides & Worksheet

Topic Test

• Standard Test

Extra Questions

• Dr Frost Questions

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 402 Find an Equation of a Straight Line Given Its Gradient and a Point.
• 403 Find an Equation of a Straight Line Given Two Points.
• 404 Find the Gradient or y-Intercept of a Line Given Its Equation in the Form px+qy=r.
• 779 Find an Equation of a Straight Line Given the Gradient and One Point Using y−y₁=m(x−x₁).
• 780 Find an Equation of a Straight Line Given Two Points Using y−y₁=m(x−x₁).
• K191c: Find an equation of a straight line given its gradient and a point, where the gradient is a whole number.
• Combination of All

Straight Line Graphs Key Skills Section (for selecting more than one)

Coordinate Geometry in the (x,y) Plane (A Level) Key Skills Section (for selecting more than one)

Further Practice

• Practise Questions

Tutorial Videos

Corbett Maths Linear Graphs & Parallel Lines

Corbett Maths Perpendicular Graphs

Maths by Fives Parallel, Perpendicular or Neither; Linear Equations

Maths by Fives Find the Equation of a Line Given a Slope and Perpendicular to Different Line

Online Platforms (with Videos & Exercises)

Activities

• Pixi Maths
  • Parallel & Perpendicular Lines ppt
  • Axes for Starter Task
  • Parallel and Perpendicular Graphs Pair Activity

Worksheets

• Dr Austin Maths
  • Equations of Parallel and Perpendicular Lines Practice Strips (Editable Word | PDF | Answers)
  • Equations of Parallel and Perpendicular Lines Spider Diagrams (Editable Word | PDF | Answers)
  •  Parallel and Perpendicular Lines Match-Up (Editable Word | PDF | Answers)
  • Parallel and Perpendicular Lines True or False (Editable Word | PDF | Answers)
• Corbettmaths
  • Parallel & Perpendicular Lines Practice Questions & Solutions
  • Parallel & Perpendicular Lines Worksheet & Solutions
  • Parallel & Perpendicular Lines AQA Level 2 Practice Questions & Solutions
• Pixi Maths
  • Parallel and perpendicular graphs RAG

Dr Frost Video

K405: Find an Equation of a Line Parallel to Another.

K576: Determine Whether Two Lines are Perpendicular Given Their Equations (No Rearrangement).

K577: Determine Whether Two Lines are Perpendicular Given Their Equations (Rearrangement Required).

K578: Find an Equation of a Line Perpendicular to Another.

K781: Find an Equation of a Straight Line Parallel to Another Using y−y₁=m(x−x₁).

K579: Find the Equation of a Tangent to a Circle.

Dr Frost Slides & Activities

• Slides & Worksheet

Topic Test

• Standard Test

Extra Questions

• Dr Frost Questions

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• K263c: Find the gradient of a line perpendicular to another given its gradient.
• 405 Find an Equation of a Line Parallel to Another.
• 576 Determine Whether Two Lines are Perpendicular Given Their Equations (No Rearrangement).
• 577 Determine Whether Two Lines are Perpendicular Given Their Equations (Rearrangement Required).
• 578 Find an Equation of a Line Perpendicular to Another.
• 781 Find an Equation of a Straight Line Parallel to Another Using y−y₁=m(x−x₁).
• 782 Find an Equation of a Straight Line Perpendicular to Another Using y−y₁=m(x−x₁).
• 783 Find the Perpendicular Bisector of a Line Using y−y₁=m(x−x₁).
• 784 Find the Area of a Triangle Enclosed by an Axis and Two Intersecting Lines.
• 579 Find the Equation of a Tangent to a Circle.
• Combination of All

Straight Line Graphs Key Skills Section (for selecting more than one)

Coordinate Geometry in the (x,y) Plane (A Level) Key Skills Section (for selecting more than one)

Further Practice

• Practise Questions

Other Videos & Multimedia

Corbett Maths Shortest Distance of a Point from a Line

Corbett Maths Equations of a Tangent to a Circle

Activities & Resources

• Pixi Maths
  • Equations of Circles and Their Tangents ppt (Slides 9-15)

Worksheets

• Corbettmaths
  • Shortest Distance between a Point and a Line Worksheet & Solutions
  • Equation of a Tangent to a Circle Practice Questions & Solutions
  • Equation of a Tangent to a Circle AQA Level 2 Practice Questions & Solutions
• Pixi Maths
  • Equations of Tangents RAG

Worksheets

• Dr Austin Maths
  • Straight Line Graphs Crack the Code (Editable Word | PDF | Answers)
  • Two Points Spider Diagrams (Editable Word | PDF | Answers)
  • Harder Coordinate Geometry Practice Grid (Editable Word | PDF | Answers)
  • Equation of a Straight Line Revision Practice Grid (Editable Word | PDF | Answers)
• Pixi Maths
  • Parallel and Perpendicular Graphs Extension