(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]
(c) Make \(y\) the subject of the following formula. [2]\[\frac{y}{a} + b = x\]
Mark scheme (a)
Scheme
Marks
Comments
All four equations correctly matched.
B2
B1 for two or three equations correctly matched not including \(y = x\)
Mark scheme (b)
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 \(y = a \times x - b\)
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