Last updated on Oct 23, 2026

Parallel & Perpendicular Gradients (AQA A-Level Mathematics): Quizzes

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Parallel & Perpendicular Gradients

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What is the product of the gradients of two perpendicular lines?

$-1$

What is true about the gradients of parallel lines?

They are equal

Find the gradient of the line through $(2, 5)$ and $(6, 13)$ .

$2$

If a line has gradient $4$ , what is the gradient of a line perpendicular to it?

$-\frac{1}{4}$

What is the gradient of the line $3y = 6x - 9$ ?

$2$

Are lines with gradients $\frac{2}{3}$ and $-\frac{3}{2}$ perpendicular?

Yes

Which line is parallel to $y = -3x + 1$ ?

$y = -3x + 5$

Find the midpoint of $(5, 3)$ and $(2, -1)$ .

$(\frac{7}{2}, 1)$

What is the gradient of the line $4x - 3y - 10 = 0$ ?

$\frac{4}{3}$

A line perpendicular to $y = \frac{1}{3}x + 5$ has what gradient?

$-3$

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