Mathematics 0580 · IGCSE · Equations of linear graphs

Equations of linear graphs — practice question

(a(i))[1]

State the co-ordinates of the point at which the line $y = 6x - 3$ meets the $y$-axis.

(a(ii))[1]

State the equation of the straight line that passes through the origin and is parallel to $y = 6x - 3$.

(b(i))[1]

On the grid, draw the line through $(-3, -2)$ that is perpendicular to the $y$-axis.

(b(ii))[1]

Draw the line $y = -2x$ on the grid.

(c)[3]

Solve these simultaneous equations algebraically to find the co-ordinates of the point where the lines intersect. Show your full working.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Final answer is $(0,-3)$.

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