Equations of Parallel and Perpendicular Lines

Slopes of parallel lines are...

• opposite reciprocals

• equal

• opposites

• always 7

Slopes of perpendicular lines are...

• opposite reciprocals

• the same

• opposite

• always 7

• the same line

• perpendicular

• neither

• parallel

• Parallel

• Perpendicular

• Neither

Are the two linear equations parallel, perpendicular, or neither?

• Parallel

• Perpendicular

• Neither

Sadie graphed the equations y = 4 and y = -7. These lines are ​ (a)   and their slopes equal ​ (b)   .

• parallel

• perpendicular

• opposites

• zero

• undefined

Mathematical Equivalence

ON

Find a line parallel to 2x - 3y = 12 and goes through (12, 4)

y = ​ (a)   x ​ ​ (b)   (c)  

• 2/3

• -

• 4

• -2/3

• 12

• +

• 3/2

• 14

• -3/2

• 22

Mabel graphed the equations y = (1/3)x + 2 and y = 3x + 2.

These lines are​ ​ (a)   because their slopes are ​ (b)   .

• perpendicular

• intersecting at an angle that is not 90 degrees

• parallel

• reciprocals, but are not opposites

• equal

• opposites, but not reciprocals

Mathematical Equivalence

ON

Answer explanation

Parallel lines have the same slope.

Use point-slope form to find line n.