Foundation June 2024 Paper 1 Q25

EdexcelCurrent spec4 marksLinear Graphs & Gradients

25 Here is a straight line L drawn on a grid.

(a) Find an equation for L. (3)

M is a different straight line with equation \(\ y = 5x\)

(b) Write down the equation of a straight line parallel to M. (1)

Mark scheme (a)

Answer	Mark	Mark scheme
\(y = \dfrac{3}{2}x + 3\)	M1	for a correct method to find the gradient of the line, eg \(\frac{6-3}{2-0}\ \left(= \frac{3}{2}\right)\) or identifies 3 as the intercept in words or in a partial equation or for \(y = \left[\frac{3}{2}\right]x + c\) or for \(y - b = \left[\frac{3}{2}\right](x - a)\) where \((a, b)\) is a correct coordinate
	M1	for \(y = \dfrac{3}{2}x\ (+\ c)\) oe or for \(y = \text{``}\dfrac{3}{2}\text{''}x + 3,\ m \ne 0\) or (L =) \(\dfrac{3}{2}x + 3\) or \(y - y_1 = \dfrac{3}{2}(x - x_1)\) or \(y - b = \text{``}\dfrac{3}{2}\text{''}(x - a)\) where \((a, b)\) is a correct coordinate
	A1	oe

Just circling 3 is insufficient

\(\left[\frac{3}{2}\right]\) must be identifiable as their gradient
\(c\) must be seen either as a letter or a number

Award of this mark implies the first M1

Any correct equation gets 3 marks