# What is the equation of the line that passes through the origin and is perpendicular to the line that passes through the following points: #(3,7),(5,8)#?

##### 2 Answers

#### Answer:

#### Explanation:

First of all, we need to find the gradient of the line passing through

Now since the new line is PERPENDICULAR to the line passing through the 2 points, we can use this equation

hence, your new line would have a gradient of

Now, we can use the point gradient formula to find your equation of the line

#### Answer:

Equation of the passing through the origin and having slope = -2 is

#### Explanation:

Slope of the perpendicular line = -1/m = -2#

Equation of the passing through the origin and having slope = -2 is

graph{-2x [-10, 10, -5, 5]}