Equations of Parallel and Perpendicular Lines

Equations of Parallel and Perpendicular Lines

By Scott Donnelly

Multiple Choice

What is the slope of a line parallel to

$$y=-\frac{2}{3}x+4$$  

• $$\frac{2}{3}$$  

• $$-\frac{3}{2}$$  

• $$\frac{3}{2}$$  

• $$-\frac{2}{3}$$  

Multiple Choice

What is the slope of a line perpendicular to

$$y=-\frac{2}{3}x+4$$  

• $$\frac{2}{3}$$  

• $$-\frac{3}{2}$$  

• $$\frac{3}{2}$$  

• $$-\frac{2}{3}$$  

Parallel Perpendicular Equations

Write equation given point and equation

Parallel Perpendicular Equations

Steps

Example

Multiple Choice

What is the slope of a line parallel to $$y=-2x+4$$  

• $$2$$  

• $$-2$$  

• $$\frac{1}{2}$$  

• $$-\frac{1}{2}$$  

Fill in the Blanks

Write equation of line parallel to $y=-2x+4\ and\ through\ \left(1,\ 9\right)$

Use dry erase boards 

Parallel Perpendicular Equations

Write equation given point and equation

Parallel Perpendicular Equations

Steps

Example

Multiple Choice

What is the slope of a line perpendicular to $$y=-2x+4$$  

• $$2$$  

• $$-2$$  

• $$\frac{1}{2}$$  

• $$-\frac{1}{2}$$  

Fill in the Blanks

Write equation of line perpendicular to $y=-2x+4\ and\ through\ \left(4,\ 10\right)$

Use dry erase boards