# What is the equation of the line perpendicular to #y=-2/7x # that passes through # (-2,5) #?

##### 1 Answer

**Equation in point-slope form.**

**Equation of the line in slope-intercept form**

#### Explanation:

To find the equation of the line perpendicular to the given line.

**Step 1:** Find the slope of the given line.

**Step 2:** Take the slope's negative reciprocal to find the slope of perpendicular.

**Step 3:** Use the given point and the slope use the Point-Slope form to find the equation of line.

Let us write our given line and go through the steps one by one.

Step 1: Finding the slope of

This is of the form

Slope of the given line is

Step 2: The slope of perpendicular is the negative reciprocal of the given slope.

Step 3: Use the slope

Equation of line in Point-slope form when slope

**Solution in point-slope form.**

Simplifying we can get

**Equation of the line in slope-intercept form**