Perpendicular lines

Find the co-ordinates of the midpoint between $A$ and $B$.

Feb/March 2019

Point A has coordinates $(3, 5)$, while point B has coordinates $(1, -7)$.

Feb/March 2020

The points are $A=(4, 1)$ and $B=(10, 15)$.

May/June 2016

The line $L$ goes through the points $(0, -3)$ and $(6, 9)$.

May/June 2019

The line $l$ connects point $F(3, 2)$ with point $G(-5, 4)$.

May/June 2022

$C$ lies at $(5, -1)$, while $D$ lies at $(13, 15)$.

May/June 2023

On a coordinate grid, point $A$ is located at $(3,6)$ and point $B$ appears at $(7,1)$.

Oct/Nov 2016

The point $A$ is $(8, 3)$, while $B$ is $(12, 1)$.

Oct/Nov 2016

The diagram displays the points $C(-1, 2)$ and $D(9, 7)$. A coordinate grid with $x$- and $y$-axes is shown, and the diagram is labelled NOT TO SCALE.

Oct/Nov 2018

State the gradient of the line that is perpendicular to the line $2y = 3 + 5x$.

Oct/Nov 2019

Determine the gradient of a line perpendicular to $8y + 4x = 5$.

Oct/Nov 2020

A line passing through the point $(2, 3)$ is perpendicular to the line $y = \frac{1}{3}x + 1$. The lines intersect at the point $P$.

Oct/Nov 2020

Line $L$ is given by $y = 4 - 5x$. Find the equation of a line perpendicular to $L$ that goes through the point $(0, 6)$.

Oct/Nov 2021

$A$ lies at $(17,9)$, while $B$ lies at $(23,39)$.

Oct/Nov 2024

Line L has equation $y=-\frac12x+7$.

Oct/Nov 2025