Coordinate Geometry & Straight Lines (AQA GCSE Further Maths): Exam Questions

$M$ is the midpoint of the line $AB$.

Work out the values of $p$ and $r$.

$p=$ ............................ $r=$ ............................

Work out the equation of the straight line that is parallel to the line  $2y=x$ and intersects the $x$-axis at $(4,0)$.

Work out the distance between the points $A$ $(–3,7)$ and$B$$(5,1)$

........................ units

Here are four sketch graphs.

Circle the letter of the sketch graph that represents  $3x+2y=5$

A straight line passes through the points $(-2,11)$ and $(1,2)$

Work out the equation of the line.

Give your answer in the form $y=mx+c$

$P$ is the point $(-12,b)$
$Q$ is the point $(a,4)$
$R$ is the point $(6,-2)$

$Q$ is the midpoint of $PR$.

Work out the values of $a$ and $b$.

$a=$  .......................... $b=$ ..........................

$L$ is a straight line with equation   $ax+by=c$ where $a,b$ and $c$ are non-zero integers.

At which point does $L$ intersect the $x$-axis?

Circle your answer.

What is the gradient of a line parallel to L?

Circle your answer.

Work out the point of intersection of the lines

$2x+3y=11$ and   $2y=13-3x$

A triangle has vertices $A\left(2,5\right)$ ,  $B\left(2,0\right)$   and   $C\left(-4,3\right)$

Work out the area of triangle $ABC.$

You may use the grid to help you.

............................ square units