June 2024 Paper 2 Q1
1 A straight line
passes through the point \((-1, -1)\)
and
has gradient \(\dfrac{3}{2}\)
Draw the line for values of \(x\) from \(-3\) to \(3\) [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| Line from \((-3, -4)\) to \((3, 5)\) | B3 | B2 line of at least two squares width with gradient \(\dfrac{3}{2}\) passing through \((-1, -1)\) or line with gradient \(\dfrac{3}{2}\) for values of \(x\) from \(-3\) to 3 or correct equation of line eg \(y = \dfrac{3}{2}x + \dfrac{1}{2}\) or \(y - -1 = \dfrac{3}{2}(x - -1)\) B1 line of at least two squares width with gradient \(\dfrac{3}{2}\) or equation of line with gradient \(\dfrac{3}{2}\) eg \(y = \dfrac{3}{2}x + c\) |
Additional guidance
| Up to B2 may be awarded for correct work with no answer or incorrect answer, even if this is seen amongst multiple attempts | |
| Mark intention | |
| Ignore any graph drawn for \(x \lt -3\) and/or \(x \gt 3\) | |
| Examples of lines of at least two squares width eg1 Line from \((-3, -4)\) to \((1, 2)\) \(\left(\text{grad} = \dfrac{3}{2} \text{ passing through } (-1, -1)\right)\) | B2 |
| eg2 Line from \((0, 0)\) to \((2, 3)\) \(\left(\text{grad} = \dfrac{3}{2}\right)\) | B1 |
| Correct equation of a line scores B2 even if there are subsequent errors eg \(y + 1 = \dfrac{3}{2}(x + 1)\) followed by \(y + 1 = \dfrac{3}{2}x + 1\) | B2 |
| \(y = \dfrac{3}{2}x + c\) with \(c\) an unknown constant | B1 |