Question

Find the slope of the line in the figure. If the slope of the line is undefined, so state. Then write an equation of the given line. 1.)a.) the slope of the line is _ b.) the slope is undefined 2.) write the slope intercept form of the linear equation

Answer 1

This is a horizonal line going through y = 4.

Horizontal lines are of the form

`y=a`

Where

a is a number

Slope is rise over run, or, the change in y divided by change in x.

No matter what the change in x is, the change in y is always zero (horizontal line). Thus, the slope is always 0 as well.

1.

The slope of the line is 0

2.

The slope intercept form is:

`y=mx+b`

Since the slope is zero, m = 0 and y intercept (b) is 4, we have:

`\begin{gathered} y=mx+b \\ y=(0)x+4 \\ y=4 \end{gathered}`