Question

The line x − y = 2 is on a coordinate plane and contains EF, which is one

side of square EFGH. What is the slope of the line that contains FG?

Answer 1

The slope of the line that contains FG is -1

Explanation:

Given

`x -y= 2` --- equation of EF

Required

Determine the equation of FG

First, we calculate the slope of EF

`x -y= 2`

Make y the subject

`y = x - 2`

A linear equation has the form:

`y = mx + b`

Where

`m = slope`

By comparison:

`m = 1`

In square EFGH, EF and FG are perpendicular.

So, the relationship between their slopes is:

`m_2 = -(1)/(m_1)`

Where

`m_1 = m = 1` --- slope of EF

The equation becomes:

`m_2 = -(1)/(1)`

`m_2 =-1`