Coordinate Geometry Practice Questions

Write down the coordinates of the point $P$.

( ....................... , ....................... )

Write down the coordinates of the point $Q$.

( ....................... , ....................... )

On the grid, mark with a cross (X) the point $(-2,\ -4)$.

Label this point $R$.

Write down the coordinates of the point $C$.

( ....................... , ....................... )

$ABCD$ is a rectangle.

On the grid, mark with a cross (X) the position of the point $D$.

Write down the coordinates of $D$.

( ....................... , ....................... )

Work out the gradient of the straight line that passes through the points $(-2,\ 1)$ and $(4,\ 13)$.

Work out the gradient of the straight line that passes through the points $(0,\ 7)$ and $(3,\ 1)$.

A straight line passes through the points $P$ and $Q$.

$P$ has coordinates $(2,\ -3)$.

$Q$ has coordinates $(8,\ k)$.

The gradient of the line $PQ$ is $2$.

Work out the value of $k$.

$A$ is the point with coordinates $(-5,\ 2)$.

$B$ is the point with coordinates $(3,\ 6)$.

$M$ is the midpoint of $AB$.

$C$ is the point with coordinates $(7,\ k)$.

The gradient of the line $MC$ is $1$.

Work out the value of $k$.