Parallel vs Perpendicular Linear Equations

Slopes of parallel lines are...

• negative reciprocals.

• negatives.

• the same.

• always 7.

Slopes of perpendicular lines are...

• negative reciprocals.

• negatives.

• the same.

• always 7.

What slope is parallel to:  
m = 3/4

• 4/3

• 3/4

• -3/4

• -4/3

• parallel

• perpendicular

• intersecting

Write a slope that is perpendicular to this equation: y = -2/3x - 8

Mathematical Equivalence

OFF

Gregory graphed the equations y = -3x + 5 and y = 2x - 5. These lines are ​ ​ (a)   because their slopes are ​ (b)   .

• perpendicular

• intersecting at an angle that is not 90 degrees

• parallel

• different, but not opposite reciprocals

• equal

• opposite reciprocals

Gregory graphed the equations y = -3x + 5 and y = 2x - 5. These lines are ​ ​ (a)   because their slopes are ​ (b)   .

• perpendicular

• intersecting at an angle that is not 90 degrees

• parallel

• different, but not opposite reciprocals

• equal

• opposite reciprocals

• y = 4x + 14

• y = 3x + 12

y=3x+2

 and 

y=3x-3

 
These lines are...

• the same line

• perpendicular

• neither

• parallel

• Parallel

• Perpendicular

• Neither