11.4 Parallel and perpendicular lines — Practise

Work independently in order. The later questions mix this section with earlier methods. Questions marked H are Higher only.

1. H Give the gradient of a line parallel to $y=3x+2$.
2. H Give the gradient of a line perpendicular to $y=2x-1$.
3. H Find the equation parallel to $y=4x+1$ through $(0,-3)$.
4. H Find the equation perpendicular to $y=x+2$ through $(0,5)$.
5. H Are $y=2x+1$ and $y=2x-7$ parallel? Give a reason.
6. H Are gradients $-3$ and $1/3$ perpendicular? Give a reason.
7. H Find the line perpendicular to $y=0.5x+3$ through $(2,1)$.
8. H A line parallel to $y=-2x+1$ passes through $(3,4)$. Find its equation.
9. H Find the gradient between $(0,1)$ and $(2,5)$. Is a line of gradient -2 perpendicular to it?
10. H Solve $2x+3=11$, then state the gradient of a parallel line to $y=2x-9$.
11. H Find equations of both lines through $(1,2)$ parallel and perpendicular to $y=3x-1$.