Mathematics 4024 · O Level · Equations of linear graphs

Equations of linear graphs — practice question

(a)[2]

Simplify the expression $\frac{4x-1}{3}+\frac{3x+5}{2}$.

(b(i))[1]

Find the gradient for line $J$.

(b(ii))[1]

Write down the equation for line $K$.

(b(iii))[1]

Draw a line, $L$, through $(6,1)$ so that the region enclosed by $J$, $K$ and $L$ has area $6\text{ cm}^2$.

(b(iv))[2]

Find the equation for line $L$.

(b(v))[2]

The line $N$ is perpendicular to line $J$ at $(2,2)$. Find the coordinates of the point where line $N$ meets the $y$-axis.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: Combine the algebraic fractions by using common denominator 6

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