Finding Equations of Parallel and Perpendicular Lines

In a coordinate plane two nonvertical lines are ​ (a)   if the product of their slopes are -1

• perpendicular

• parallel

• horizontal

• vertical

• acutely intersecting

Write a linear equation that is perpendicular to 2x - 5y = 5 and passes through the point (2, -9)

Mathematical Equivalence

ON

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

• Parallel

• Perpendicular

• Neither

Are the equations parallel, perpendicular, or neither?

• Parallel

• Perpendicular

• Neither

Mathematical Equivalence

ON

The parallel line in slope-intercept form is:

​ (a)   =​ (b)   + ​ (c)  

• y

• mx

• (-m*x1 + y1)

Match each set of parallel lines

• y = -1/3 x + 2

• y = x + 4

• y = 1/2 x - 3

• y = -1/3 x - 7

• y = x + 8

• y = 2x + 3

• y = 3 x - 9

• y = 1/2 x + 4

• y = 2x + 6

• y = 3 x - 3

Write an equation for a line parallel to the line
y = 1/3x - 4 through (-3, 2)

• y = 2/3x +3

• y = -1/3x + 3

• y = 1/3x + 3

• y = -5/3x + 3

Two lines that are parallel will have ...

• Slope that is opposite reciprocals

• No slope

• Slope that is the same

• none of the above

Two lines that are perpendicular lines have ...

• Slope that is opposite reciprocals

• No Slope

• Slope that is the same

• none of the above