Linear Graphs & Gradients: Eduqas GCSE Foundation June 2025 Paper 2 Q21

Foundation June 2025 Paper 2 Q21

21.

(a)

Five straight-line graphs and their equations are shown below.
Draw a line to connect each graph to its equation.
One has been completed for you. [2]

(b)

Circle the equation of the straight line that is parallel to \(y=3x+5\). [1]

\(3y=x+5\) \(y=-3x\) \(2y=6x+8\) \(y=\frac{1}{3}x+5\) \(y+3x=7\)

(c)

Make \(y\) the subject of the following formula. [2]

\[\frac{y}{a}+b=x\]

Scheme	Marks	Comments
All four equations correctly matched.	B2	B1 for two or three equations correctly matched not including \(y = x\)

Scheme	Marks	Comments
Correct equation circled or clearly indicated. \(2y = 6x + 8\)	B1

Mark scheme (c)

Scheme	Marks	Comments
\(y = a(x-b)\) or \(a(x-b) = y\) or \(y = -a(-x+b)\) or \(y = ax - ab\) oe	B2	Allow B2 for \(y = (x-b) \times a\) or \(y = a \times (x-b)\) Mark final answer. B1 for one of the following as the first step \(\frac{y}{a} = x-b\) or \(x-b = \frac{y}{a}\) \(-\frac{y}{a} = -x+b\) \(y + ab = ax\) Allow B1 if ‘\(y\) =’ missing e.g \(a(x-b)\) or \(a \times (x-b)\) or \(ax - ab\) OR an answer of \(y = a(x+b)\) or \(y = ax + ab\) oe (from \(\frac{y}{a} = x + b\) ) B0 for an unsupported answer of \(y = ax - b\) or \(y = a \times x - b\)
	(5)