O-LevelMathematicsCoordinate geometry4024/21 · Oct/Nov 2023 · Q37 Marks
The equation of line L is 4y = x -5 . Find the gradient of line L.
- (a)(i)The equation of line L is 4y = x -5 . Find the gradient of line L.[1]
- (a)(ii)Find the coordinates of the point where line L crosses the y-axis.[1]
- (b)(i)A is the point (4, 5) and B is the point (-2, 8). Find the length of line AB.[2]
- (b)(ii)Find the equation of line AB. Give your answer in the form y = mx+c.[3]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2023). The mark or mark type is shown in brackets.
- [1] (a)(i) 1/4 oe
- [1] (a)(ii) (0, -5/4) oe
- [2] (b)(i) 6.71 or 6.708...
- [2] (b)(i) M1 for sqrt((4--2)^2+(5-8)^2) oe
- [3] (b)(ii) [y=] -1/2 x + 7 oe final answer
- [3] (b)(ii) M1 for (8-5)/(-2-4) oe
- [3] (b)(ii) M1 for attempt to find c by substitution of (4, 5) or (-2, 8) or (1, 6.5) into y = (their m)x + c or use of y-b = (their m)(x-a)
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