Higher June 2019 Paper 2 Q15
15 Here is line L and the graph of \(\quad y = x - 1\)
The scales of the axes are not shown.
Work out the equation of line L. [4 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(y = -\dfrac{3}{2}x + 3\) | B4 | oe eg \(2y + 3x = 6\) or \(y = -1.5x + 3\) B3 \(-\dfrac{3}{2}x + 3\) or gradient \(= -\dfrac{3}{2}\) stated or equation of line with gradient \(-\dfrac{3}{2}\) B2 scales on both axes identified correctly or scale on one axis identified correctly and correct gradient of L for their two scales seen B1 scale on one axis identified correctly or correct gradient of L for their two scales seen SC2 \(y = -\dfrac{3}{4}x + 3\) oe or \(y = \dfrac{3}{2}x + 3\) oe SC1 \(-\dfrac{3}{4}x + 3\) or gradient \(= -\dfrac{3}{4}\) stated or equation of line with gradient \(-\dfrac{3}{4}\) |
Additional guidance
Examples of scale on \(y\)-axis identified correctly include
intersection of \(y = x - 1\) with \(y\)-axis labelled \(-1\)
or intersection of line L with \(y\)-axis labelled 3
or equation of line with \(y\)-intercept 3
Examples of scale on \(x\)-axis identified correctly include
intersection of \(y = x - 1\) with \(x\)-axis labelled 1
or intersection of line L with \(x\)-axis labelled 2