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Middle Years

3.01 Parallel and perpendicular lines

Interactive practice questions

Graphs of the equations $y=2x$y=2x, $y=2x+5$y=2x+5 and $y=2x-7$y=2x7 are shown on the same number plane:

Loading Graph...

a

What do all of the equations have in common?

Their gradient ($m$m).

A

Their $y$y-intercept ($c$c)

B

Their $x$x-intercept.

C
b

What do you notice about the graphs?

All graphs cut the $x$x-axis at the same point.

A

All graphs cut the $y$y-axis at the same point.

B

All graphs have the same angle of inclination.

C
Easy
< 1min

Is the line $y=-2x-5$y=2x5 parallel to $y=-2x-8$y=2x8 ?

Easy
< 1min

Is the line $y=7x+8$y=7x+8 parallel to $y=-5x+8$y=5x+8 ?

Easy
< 1min

Is the line $y=-3x-2$y=3x2 parallel to $y=-3x+9$y=3x+9 ?

Easy
< 1min
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