Mathematics 4024 · O Level · Equations of linear graphs

Equations of linear graphs — practice question

The equation for line L is $y=\frac{x}{5}+3$. The diagram shows lines L and M, the origin O, point A on the x-axis, and point B on the y-axis.
(a)[1]

Write down the gradient for line L.

(b(i))[3]

Line M is parallel to line L. It meets the x-axis at point A and the y-axis at point B. The coordinates of point A are (15,0). Show that the coordinates of point B are (0,-3).

(b(ii))[5]

Line N is the perpendicular bisector of the line joining point A and point B. Line N meets the x-axis at point C. Find the coordinates of point C.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: The gradient is \(\frac{1}{5}\) oe

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