Question

The slope of GA is -5. Find the slope of the line perpendicular to the given line

Answer 1

• slope: 1/5

In-depth explanation:

Hi! The question is asking us to find the slope of the line that's perpendicular to the given line; the slope of the given line is -5.

The main idea is that perpendicular lines have slopes that are opposite reciprocals of each other.

So, in order to find the slope of the line that is perpendicular to line A, we will find the opposite reciprocal of -5.

To do that, we will change the sign of -5 from negative to positive. We get 5.

Then, we rewrite 5 as 5/1 and flop it over: 1/5.

1/5 is the opposite reciprocal of -5.

Therefore, the slope is 1/5.

Answer 2

Perpendicular slopes are opposite reciprocals.

This means the slope of the line perpendicular to GA will be the opposite reciprocal of -5.

Reciprocal of -5: -1/5

Opposite of -1/5: 1/5

The slope of the line perpendicular to GA is 1/5.