Review question

# Can we find the point midway between an intersection and a line? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R9273

## Suggestion

$P$ is the point of intersection of the lines $y+x=1$ and $3y+2x=1$. Find the co-ordinates of the point midway between $P$ and the line $y=2x+8$.

Have you drawn a diagram yet? If you’re not sure where to start, sketch the three lines.

What is the gradient of a line perpendicular to $y=2x+8$? Can you find the equation of the one such line through $P$?