Challenging Parallel and Perpendicular Linear Equation Problems

Are the equations parallel, perpendicular, or neither?

• Parallel

• Perpendicular

• Neither

Tags

CCSS.8.EE.B.6

The parallel line in slope-intercept form is:

​ (a)   =​ (b)   + ​ (c)  

• y

• mx

• (-m*x1 + y1)

Are the following equations parallel or not? HINT: Solve the second equation for y so that it is in y=mx + b form. y = 2x - 5 and 4x + 2y = 10

• Yes, they are parallel

• No, they are not parallel

Tags

CCSS.8.EE.C.8B

A second linear equation is graphed next to the equation y = 5x + 10. Which of the following could represent the slope and y-intercept of the line if the 2 lines are parallel?

• m = 10, y-int: (0, 5)

• m = 5, y-int: (0, 10)

• m = 5, y-int: (0, 4)

• m = 2, y-int: (0, 5)

Tags

CCSS.8.EE.B.5

What is the slope of the line that is perpendicular to the line y = -5x + 3?

• 5

• 1/5

• -1/5

• -5

Tags

CCSS.8.EE.B.6

Write an equation for a line that is perpendicular to the graph shown and passes through the point (4,-1)

• y = 2x + 3

• y = 1/2x - 3

• y = 1/2x - 1

• y = -2x + 1

What slope is parallel to:  
m = 4

• 4

• -1/4

• -4

• 1/4

Tags

CCSS.8.EE.B.5

What slope is perpendicular to:  
m = 5/8

• -5/8

• 5/8

• -8/5

• 8/5

Tags

CCSS.8.EE.B.6

y = 5/7x +2
y = 5/7x - 30
These lines are...

• Parallel

• Perpendicular

• Neither

A line is parallel to   y = 2x - 7.
What is it's slope?

• -2

• 1/2

• -1/2

• 2

Tags

CCSS.8.EE.B.5