Mathematics 4024 · O Level · Equations of linear graphs

Equations of linear graphs — practice question

A straight line for $2y = x + 4$ has been plotted on the grid.
(a(i))[2]

Sketch the line $x + y + 2 = 0$ on the grid.

(a(ii))[2]

Region $R$ is described by the three inequalities below: $2y \ge x + 4$, $x + y + 2 \ge 0$, $y \le 2$. Shade this area on the grid and label it $R$.

(b)[3]

Line $L$ is perpendicular to the line $2y = x + 4$ and passes through the point $(1, 8)$. Show that the equation of line $L$ is $y = 10 - 2x$.

(c)[3]

Use an algebraic method to determine the coordinates where the lines $2y = x + 4$ and $y = 23 - 2x$ meet.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: A straight line joining $(-4,2)$ and $(0,-2)$

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