Parallel Lines Linear Equations

Parallel Lines…. have the same slope

Count rise / run for each line

Look at the equation: y = mx + b
What number is m?

Multiple Choice

What does "m" represent in y = mx + b?

• y-intercept

• slope

• input

• output

• x-intercept

Multiple Choice

What does 'b" represent in y = mx + b?

• y-intercept

• x-intercept

• output

• slope

• input

Multiple Choice

Parallel lines have...

• same slope

  &

  same y-intercept

• same slope

  &

  different y-intercepts

• different slopes &

  same y-intercept

• different slopes &

  different y-intercepts

• not here

Multiple Choice

Are these lines parallel?
y = 12x + 4
y = 12x +14

• YES

• NO

Multiple Choice

Are these lines parallel?

y = (-1/2)x + 1

y = (1/2)x - 5

• YES

• NO

Multiple Choice

Which figure shows a set of parallel lines?

• Figure 1

• Figure 2

• Figure 3

• Figure 4

Perpendicular Lines….
Slopes are the opposite reciprocals

Is

perpendicular

to

Multiple Choice

Slopes of perpendicular lines are...

• opposite reciprocals.

• opposites.

• the same.

• reciprocals.

• always steep.

Multiple Select

y = 3x + 2

y = 3x - 3

These lines are...

• Parallel

• Perpendicular

• Neither parallel nor perpendicular

• The same line

• Intersecting

Multiple Choice

$$y=\frac{2}{3}x+2$$  

$$y=-\frac{3}{2}x$$  

These lines are...

• Parallel

• Perpendicular

• Neither parallel nor perpendicular

• The same line

Multiple Choice

Which slope is parallel to  m = 4?

• m = 4

• m = -1/4

• m = -4

• m = 1/4

• None of these

Multiple Choice

Which slope is perpendicular to  m = 5/8?

• m = -5/8

• m = 5/8

• m = -8/5

• m = 8/5

• None of these

Thank you for your attention!

I am glad we are on this adventure together!​