# How do you find the equation of a line that Contains point (5, -3) and is perpendicular to y=5x?

##### 1 Answer

Jan 18, 2016

#### Explanation:

For finding an equation of a perpendicular line, we start with finding the slope of the given line. Slope of the perpendicular line is negative reciprocal of the given slope. For example, if the slope is

Equation of the form

Using this knowledge, we can see that the slope of the line

The slope of the perpendicular line is

We can say our line would be

We need to find

Let us substitute the value

We get,

Add

Our equation becomes