# What is an equation in slope-intercept form of the line that is perpendicular to the graph of #y=2x+3# and passes through (3, -4)?

##### 1 Answer

#### Explanation:

The slope of the line perpendicular to the graph of

where:

Divide both sides by

So we now have the slope and we have been given a point

Find the point-slope form of the perpendicular line.

Plug in the known values.

To convert the point-slope form to slope-intercept form, solve the point-slope form for

Slope-intercept form is:

Subtract

Multiply

Simplify.

Simplify.

graph{(y-2x-3)(y+1/2x+5/2)=0 [-11.25, 11.25, -5.625, 5.625]}