Question

Find the equation of the horizontal line that contains the point Express the equation using either the general form or the slope-intercept form of the equation of a line.

Answer 1

We are asked to determine the equation of a horizontal line that contains the point (-9, -7). To do that we will use the general form of a line equation in slope-intercept form:

`y=mx+b`

Where "m" is the slope and "b" is the y-intercept. Since the line is horizontal the slope is zero, this is:

`m=0`

Replacing in the equation of the line:

`y=b`

Now, we determine the value of "b" replacing the given point. This means that when x = -9 the value of "y" is -7.

`-7=b`

Therefore, the equation of the line is:

`y=-7`