1MA0 Higher November 2016 Paper 1 Q15
15 \(AB\) is a line segment.
The midpoint of the line segment \(AB\) has coordinates (3, 5)
Point \(A\) has coordinates (9, 2)
(a) Work out the coordinates of point \(B\). (2)
(b) Work out an equation of the straight line that passes through (9, 2) and (3, 5) (3)
| Answer | Mark | Notes |
|---|---|---|
| \(-3\), 8 | 2 | M1 for \(3 + (3 - 9)\) (\(= -3\)) oe or \(5 + (5 - 2)\) (= 8) oe or \(\dfrac{x + 9}{2} = 3\) or \(\dfrac{y + 2}{2} = 5\) A1 cao |
| Answer | Mark | Notes |
|---|---|---|
| \(y = -0.5x + 6.5\) | 3 | M1 for a correct method to find the gradient (\(= -0.5\)), ft the possible use of coordinates in part (a) M1 for method to find \(c\) eg substituting into \(y = \text{``}{-}0.5\text{''}x + c\) A1 for \(y = -0.5x + 6.5\) oe |