Higher June 2018 Paper 2R Q13
13 The straight line \(\mathbf{L_1}\) has equation \(y = 6 - 2x\)
The straight line \(\mathbf{L_2}\) is perpendicular to \(\mathbf{L_1}\) and passes through the point \((4, 7)\)
Find the coordinates of the point where the line \(\mathbf{L_2}\) crosses the \(x\)-axis.
(4)
| Scheme | Marks |
|---|---|
| eg \(m = \dfrac{1}{2}\) or \(y = \dfrac{1}{2}x + c\) | M1 |
| eg \(7 = \dfrac{1}{2} \times 4 + c\) or \(y - 7 = \dfrac{1}{2}(x - 4)\) | M1 |
| eg \(\dfrac{1}{2}x + 5 = 0\) or \(-7 = \dfrac{1}{2}(x - 4)\) | M1 |
| (−10, 0) | A1 |
| (4) | |
| (4 marks) |
Notes
M1: for gradient = \(\dfrac{1}{2}\)
M1: for substituting \((4, 7)\) into an equation with gradient = \(\dfrac{1}{2}\)
M1: Inputting \(y = 0\) into their correct equation
A1: SC B2 for an answer of (18, 0) or (0.5, 0) oe or (7.5, 0) oe