Respuesta :

The equation of a line is typically written as y=mx+b, where m is the slope and b the y-intercept.

The slope can be calculated like this:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

In this case you have x1=-8, y1=6, x2=-8 and y2=0. Replace this values on the slope formula

[tex]m=\frac{0-6}{-8-(-8)}=\frac{-6}{-8+8}=\frac{-6}{0}\text{ the slope is undefined}[/tex]

An undefined slope indicates that you have a vertical line parallel to the y-axis.

This line will pass through all points in the plane with an x-coordinate=constant (c). In this case this constant will be -8

The equation is written in the form x = c, then the equation of this line will be

[tex]x=-8[/tex]