what is an equation of the line that passes through the points (0, -3) and (0, -8)?

Explanation:

Step1: Calculate the slope

The formula for slope (m=\frac{y_2 - y_1}{x_2 - x_1}). Here (x_1 = 0,y_1=-3,x_2 = 0,y_2=-8). Then (m=\frac{-8-(-3)}{0 - 0}=\frac{-5}{0}), which is undefined.

Step2: Determine the equation

Since the slope is undefined, the line is a vertical line. For a vertical line passing through the point ((x_0,y_0)), the equation is (x=x_0). Both points have (x = 0).

Answer:

(x = 0)