The line is vertical and passes through (−2,−6) What is the equation in slope intercept form.

Answer 1

The equation of a vertical line through

a given point can always be written

x = the x-coordinate of the given point.

So the answer to this problem is x = -2.

Answer 2

Typically slope-intercept form is y = mx + b. However, a vertical line has an undefined slope. Vertical lines also don't have a y-intercept because they are parallel to the y-axis. Subsequently, the formula for a vertical line is x = x_1. Since we were told the line passes through (2,-6), the equation of the line would be x = 2.