Mathematics 0580 · IGCSE · Gradient of linear graphs

Gradient of linear graphs — practice question

Line A is given by $y = 5x - 4$. Line B is given by $3x + 2y = 18$.
(a(i))[1]

Find the gradient for line A.

(a(ii))[1]

Find the gradient for line B.

(b)[2]

Write down the co-ordinates of the point where line A meets the x-axis.

(c)[4]

Find the equation of the line perpendicular to line A that goes through the point $(10, 9)$. Give your answer in the form $y = mx + c$.

(d)[3]

Work out the co-ordinates of the point where line A and line B intersect.

(e)[3]

Work out the area enclosed by line A, line B and the y-axis.

Worked solution & mark scheme

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