Higher June 2024 Paper 1 Q6
6 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)
| Answer | Mark | Mark scheme |
|---|---|---|
| \(y = \dfrac{3}{2}x + 3\) | M1 | for a correct method to find the gradient of the line, eg \(\dfrac{6 - 3}{2 - 0}\ \left(= \dfrac{3}{2}\right)\) or identifies 3 as the intercept in words or in a partial equation or for \(y = \left[\dfrac{3}{2}\right]x + c\) or for \(y - b = \left[\dfrac{3}{2}\right](x - a)\) where \((a, b)\) is a correct coordinate |
| M1 | for \(y = \dfrac{3}{2}x\ (+ c)\) oe or for \(y = \text{``}\dfrac{3}{2}\text{''}x + 3\), \(m \neq 0\) or \((\mathbf{L} =)\ \dfrac{3}{2}x + 3\) 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 |
Additional guidance
Just circling 3 is insufficient
\(\left[\dfrac{3}{2}\right]\) 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
| Answer | Mark | Mark scheme |
|---|---|---|
| Equation | B1 | for \(y = 5x + c\), \(c \neq 0\) oe |
Additional guidance
May be in any equivalent form