Parallel and Perpendicular Lines Review

Parallel and Perpendicular Lines Review

Slope Intercept Form

• m is the slope

• b is the y-intercept

Multiple Choice

Which of the following is written in slope-intercept form?

• $2y+3x=5$

• $y=2+x+1$

• $y=\frac{1}{2}x-3$

Multiple Choice

What is the slope of

 $y=3x+5$  ?

• 3

• y

• 5

• x

Multiple Choice

What is the y-intercept of

 $y=3x+5$  

• 3

• x

• 5

• y

Parallel Lines

• Have the same slope

• Have different y-intercepts

• Never intersect

Multiple Choice

Parallel lines have....

• Same slope and the same y-intercept

• Different lopes and the same y-intercept

• Same slope and different y-intercepts

• Different slopes and different y-intercepts

Multiple Choice

What slope is parallel to a slope of 2?

• 1

• $-\frac{1}{2}$

• $\frac{1}{2}$

• 2

Multiple Choice

Which of the following equations is parallel to  $y=\frac{1}{2}x+5$  ?

•  $y=-\frac{1}{2}x-3$  

•  $y=-2x+4$  

•  $y=\frac{1}{2}x-3$  

•  $y=\frac{1}{2}x+5$  

Multiple Choice

If Jaid and Toni both made 5 dollars an hour but Jaid started with 6 dollars and Toni started with 10 dollars. Will they ever have the same amount of money?

• Yes

• No

Perpendicular Lines

• Have opposite reciprocal slopes

• Can have the same y-intercept

• Intersect at a 90 degree angle

Opposite Reciprocal

• Flip the numbers

• Flip the sign

Multiple Choice

The slopes of perpendicular lines are...

• Same

• Opposite Reciprocals

• Opposite

• Reciprocals

Multiple Choice

The opposite reciprocal to $\frac{5}{2}$  is?

•  $\frac{2}{5}$  

•  $-\frac{5}{2}$  

•  $\frac{5}{2}$  

•  $-\frac{2}{5}$  

Multiple Choice

Which slope would be perpendicular to a slope of $2$  ?

•  $2$  

•  $\frac{1}{2}$  

•  $-\frac{1}{2}$  

•  $-2$  

Multiple Choice

Which equation is perpendicular to  $y=\frac{2}{3}x-4$ ?

•  $y=-\frac{3}{2}x+4$  

•  $y=-\frac{2}{3}x+4$  

•  $y=\frac{2}{3}x-4$  

•  $y=\frac{3}{2}x-4$  

To Review

• Parallel lines have the same slope but different y-intercepts

• Perpendicular lines have opposite reciprocal slopes and can have the same y-intercept

Multiple Choice

Are the given lines parallel, perpendicular, or neither?

 $y=\frac{1}{2}x+2$  and $y=\frac{1}{2}x-4$  

• Parallel

• Perpendicular

• Neither

Multiple Choice

Are the given lines parallel, perpendicular, or neither?

 $y=2x+3$  and  $y=-\frac{1}{2}x+3$  

• Parallel

• Perpendicular

• Neither