Topics
13. Coordinate Geometry
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iGCSE (2021 Edition)

13.17 Parallel lines

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Worksheet
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Interactive practice questions

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

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A number plane has both the x- and y-axes ranging from $-10$−10 to $10$10. Both axes are marked with major intervals of $2$2 and minor intervals of $1$1. Three straight lines are plotted on a number plane. All three lines move upwards from left to right. The equations of the line are $y=2x$y=2x, $y=2x+5$y=2x+5, and $y=2x-7$y=2x−7. The corresponding equations of each plotted line are not explicitly labeled. The leftmost line passes through points $\left(-1,3\right)$(−1,3) and $\left(1,7\right)$(1,7). The middle line passes through points $\left(0,0\right)$(0,0) and $\left(1,2\right)$(1,2). The rightmost line passes through points $\left(-1,-9\right)$(−1,−9) and $\left(1,-5\right)$(1,−5). The points are not marked and not explicitly labeled.
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=−2x−5 parallel to $y=-2x-8$y=−2x−8 ?

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=−3x−2 parallel to $y=-3x+9$y=−3x+9 ?

Easy
< 1min
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Outcomes

0580C3.5

Determine the equation of a straight line parallel to a given line.

0580E3.5

Determine the equation of a straight line parallel to a given line.

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