3 Linear equations
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
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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