# How do you write the slope-intercept form of the equation of the line perpendicular to the graph of #y=-3/2x-7# that passes through (3, -2)?

##### 1 Answer

#### Explanation:

Slope-intercept form: y=mx+b where m is the slope and b is the y-intercept

First, let's find the slope of the equation. It is perpendicular to

Perpendicular slopes are always opposite reciprocals of one another.

Opposites: positive vs. negative (-3 and 3 are opposites)

Reciprocals: numbers that multiply to 1 (

Opposite of

Reciprocal of

Opposite (positive) reciprocal of

So far our equation is

Plug in the point that lies on this equation (3, -2)

The equation is