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10.05 Slopes of parallel and perpendicular lines

Adaptive
Worksheet

Interactive practice questions

The equations $y=2x$y=2x, $y=2x+6$y=2x+6 and $y=2x-8$y=2x8 have been graphed on the same number plane:

Loading Graph...

a

What do all of the equations have in common?

Their $y$y-intercept ($b$b)

A

Their slope ($m$m).

B

Their $x$x-intercept.

C
b

What do you notice about the graphs?

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

A

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

B

All graphs have the same angle of inclination.

C
c

What can you conclude from the answers above?

Equations with the same $x$x-intercept have graphs that have the same angle of inclination.

A

Equations with the same slope ($m$m) cut the $y$y-axis at the same point.

B

Equations with the same slope ($m$m) have graphs that have the same angle of inclination.

C

Equations with the same $y$y-intercept ($b$b) have graphs that have the same angle of inclination.

D
Medium
1min

Is the line $y=-8x-2$y=8x2 parallel to $y=9x+7$y=9x+7 ?

Easy
< 1min

Is the line $y=4x-1$y=4x1 parallel to $y=4x-6$y=4x6 ?

Easy
< 1min

Which lines are parallel to the line with equation $y=9x+2$y=9x+2?

Select the three that apply.

Easy
< 1min
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Outcomes

M1.G.GPE.A.2

Use the slope criteria for parallel and perpendicular lines to solve problems and to justify relationships in geometric figures.

M1.MP1

Make sense of problems and persevere in solving them.

M1.MP2

Reason abstractly and quantitatively.

M1.MP3

Construct viable arguments and critique the reasoning of others.

M1.MP4

Model with mathematics.

M1.MP5

Use appropriate tools strategically.

M1.MP6

Attend to precision.

M1.MP7

Look for and make use of structure.

M1.MP8

Look for and express regularity in repeated reasoning.

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