Higher January 2021 Paper 1 Q13
13 Point \(A\) has coordinates \((5, 8)\)
Point \(B\) has coordinates \((9, -4)\)
(a) Work out the gradient of \(AB\). (2)
The straight line L has equation \(y = -4x + 5\)
(b) Write down the gradient of a straight line that is perpendicular to L. (1)
| Scheme | Marks |
|---|---|
| \(\dfrac{8 - -4}{5 - 9}\left(= \dfrac{12}{-4}\right)\) oe or \(\dfrac{-4 - 8}{9 - 5}\left(= \dfrac{-12}{4}\right)\) oe | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: \(-3\) | A1 |
| (2) |
Notes
M1: condone correct gradient embedded in an equation e.g. \(y = -3x + c\)
or expression e.g. \(-3x\)
or for an answer of 3
| Scheme | Marks |
|---|---|
| \(\dfrac{1}{4}\) | B1 |
| (1) | |
| (3 marks) |
Notes
B1: accept 0.25 or \(-\dfrac{1}{-4}\) oe