Foundation November 2022 Paper 3 Q26
26 \(P\) and \(Q\) are points.
The \(x\)-coordinate of \(Q\) is 4 more than the \(x\)-coordinate of \(P\).
The \(y\)-coordinate of \(Q\) is 5 less than the \(y\)-coordinate of \(P\).
Work out the gradient of the straight line through \(P\) and \(Q\). [2 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(-\dfrac{5}{4}\) or \(-1\dfrac{1}{4}\) or −1.25 | B2 | B1 \(\dfrac{5}{4}\) or \(1\dfrac{1}{4}\) or 1.25 or \(x + 4\) and \(y - 5\) or possible coordinates for \(P\) and \(Q\) stated or shown on a diagram eg \(P(0, 5)\) and \(Q(4, 0)\) or right-angled triangle shown with 4 as horizontal length and 5 as vertical length |
Additional guidance
| B1 may be awarded for correct work, with no or incorrect answer, even if this is seen amongst multiple attempts | |
| Ignore attempts at rounding after correct answer seen | |
| Accept \(\dfrac{-5}{4}\) | B2 |
| Condone \(\dfrac{5}{-4}\) | B2 |
| \((x + 4)\;\;(y - 5)\) | B1 |
| \(x + 4\) and \(y - 5\) may be seen embedded in a fraction eg \(\dfrac{y - (y - 5)}{x - (x + 4)}\) or \(\dfrac{y - (y - 5)}{x + (x + 4)}\) | B1 |
| \(-\dfrac{4}{5}\) | B0 |
| \(\dfrac{4}{5}\) | B0 |