Mathematics 0580 · IGCSE · Equations of linear graphs

Equations of linear graphs — practice question

The points A(-3, 8) and B(2, -2) are connected by a line.
(a)[2]

Find the coordinates of the midpoint of AB.

(b)[3]

Find the equation of the line joining A and B. Give your answer in the form y = mx + c.

(c)[2]

Another line is parallel to AB and goes through the point (0, 7). Write down the equation of this line.

(d)[4]

Find the equation of the line perpendicular to AB that passes through the point (1, 5). Give your answer in the form ax + by + c = 0 where a, b and c are integers.

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: Midpoint found correctly $(-0.5,3)$

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