if the slope of a line is undefined, what is the point slope form?

coordinate C (-2,-2) d (1,-2)

If the slope of a line is undefined, it means that the line is vertical. A vertical line does not have a defined slope because it does not change in the y-direction for any change in the x-direction. In this case, we have two coordinates given: C(-2,-2) and D(1,-2).

To determine the equation of a vertical line using the point-slope form, we need to identify the x-coordinate of any point on the line. Since both of our given points have the same y-coordinate (-2), we can use either of them.

Let's use point C(-2,-2). The point-slope form of a line is given by:
y - y₁ = m(x - x₁)

Since the slope is undefined, m is not applicable in this case. The equation becomes:
y - (-2) = 0(x - (-2))

Simplifying this:
y + 2 = 0(x + 2)

Further simplifying:
y + 2 = 0

The equation of the vertical line passing through C(-2,-2) is y + 2 = 0. Since the slope is undefined, the y-intercept is -2 and the line passes through every point with x-coordinate -2.