Unit 5.B HW: Equations of Parallel & Perpendicular Lines

If two lines are parallel their slopes are ____________

• the same.

• opposite reciprocals of each other.

Are these lines parallel?

y = (-1/2)x + 1

y = (1/2)x - 5

• YES

• NO

Tags

CCSS.HSG.CO.A.1

Write an equation of a line that passes through the point (5,-1) and is parallel to the line y = (-3/5)x -3

• y = (-3/5)x + 2
• y = (-3/5)x -2
• y = (3/5)x + 2
• y = (5/3) + 2

Tags

CCSS.HSG.GPE.B.5

Write an equation of a line that passes through the point (2,6) and is parallel to the line y = -3

• y = 12
• y = 6
• x = 12
• x = 6

Tags

CCSS.HSA.CED.A.2

CCSS.HSG.GPE.B.5

Are these lines perpendicular?

y = 4x + 2

y = (1/4)x + 12

• YES

• NO

Write an equation of a line that passes through the point (-9,2) and is perpendicular to the line y = 3x - 12

• y = (-1/3)x - 1
• y = (1/3)x - 2
• y = -3x + 12
• y = 3x - 1

Tags

CCSS.HSG.GPE.B.5

Write an equation of a line that passes through the point (-2,3) and is perpendicular to the line x = 4

• y = 3
• x = -3
• y = -3
• x = 3

Tags

CCSS.HSG.GPE.B.4

CCSS.HSG.GPE.B.5

Slopes of perpendicular lines are...

• opposite reciprocals.
• opposites.
• identical.
• always 7.

Tags

CCSS.8.EE.B.6

What slope is perpendicular to:  
m = 5/8

• -5/8
• 5/8
• -8/5
• 8/5

Tags

CCSS.8.EE.B.6

Which of the following lines is PARALLEL to the graph of y = -6x + 3 and goes through the point (-1,4)?

• y=1/6x +25/6

• y = 1/6x + 4

• y = -6x - 2

• y = -6x + 4

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.GPE.B.5