Writing Equations of Parallel and Perpendicular Lines

Write Equation of Parallel and Perpendicular Lines

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Determine if the lines are parallel or perpendicular.

Hint: Look at the slope of the equations

Parallel Lines :

Have the same slope

Perpendicular Lines :

Have the opposite reciprocal slope

* different sign and flip

Multiple Select

Which of the two equations below are parallel?

• y= -1/2x+7

• y= 2x+4

• y= -1/2x -2

• y= 7x-1/2

• y= 1/2x +5

Multiple Select

Which of the two equations below are perpendicular?

• y= 1/2x+7

• y= 2x+4

• y= -1/2x -2

• y= 7x-1/2

• y= 1/2x +5

Fill in the Blanks

Are the equation below parallel, perpendicular or neither?

$y=3x+4\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \$   $y=-3x+8$  

Fill in the Blanks

Write an equation of the line parallel to   $y=-3x-5$   and passes through (-2,4).

y-?=-3(x+2)

What # should be in the ?

Fill in the Blanks

Write an equation of the line parallel to   $y=-3x-5$   and passes through (-2,4).

$y-y_1=m\left(x-x_1\right)$  

Multiple Choice

Write an equation of the line PARALLEL to the graph y=-6x+3 and goes through the point (-1,4)?

• y=-6x+4

• y=-6x-2

• y=6x-4

• y=1/6x+4

Fill in the Blanks

Write an equation of the line perpendicular to   $y=-3x-5$   and passes through (6,-4).

y+4=?(x-6)

What # should be in the ?

Fill in the Blanks

Write an equation of the line perpendicular to   $y=-3x-5$   and passes through (6,-4).

$y-y_1=m\left(x-x_1\right)$  

Multiple Choice

Which of the following represents the equation of a the line passing through (-4,5) and perpendicular to the line y=-1/2x+5 ?

• y=-1/2x+3

• y=2x+13

• y=2x+5

• y=2x-6

• y=2x-8