Higher June 2019 Paper 2 Q16
16 The straight line \(\mathbf{L}\) has the equation \(3y = 4x + 7\)
The point \(A\) has coordinates \((3, -5)\)
Find an equation of the straight line that is perpendicular to \(\mathbf{L}\) and passes through \(A\). (3)
| Answer | Mark | Mark scheme |
|---|---|---|
| \(y = -\dfrac{3}{4}x - \dfrac{11}{4}\) | M1 | for identifying a gradient of \(\dfrac{4}{3}\) (ignore constant term) |
| M1 | for beginning a method to find the gradient of the perpendicular line eg \(\dfrac{4}{3} \times m = -1\) or identifies the gradient of the perpendicular line as \(-\dfrac{3}{4}\) (can ft providing gradient is clearly stated) | |
| A1 | for \(y = -\dfrac{3}{4}x - \dfrac{11}{4}\) or any equivalent equation |
Additional guidance
\(4y + 3x = -11\)
\(y + 5 = -\dfrac{3}{4}(x - 3)\)