# What is the equation of the line perpendicular to #y=-15/7x # that passes through # (-1,7) #?

##### 1 Answer

Point-slope form:

Slope-intercept form:

#### Explanation:

The slope of a perpendicular line is the negative reciprocal of the original slope. In this case, the perpendicular slope of

With the slope and one point, you can write a linear equation in point-slope form:

where:

Plug in the known values.

Simplify.

You can convert the point-slope form to slope-intercept form by solving for

Multiply

graph{y-7=7/15(x+1) [-10.04, 9.96, 1.44, 11.44]}