Final answer:
The equation of the line passing through the points (5,4) and (5,-8) is x = 5.
Step-by-step explanation:
The equation of the line passing through the points (5,4) and (5,-8) can be found by using the point-slope form of a linear equation.
First, we find the slope (m) of the line using the formula: m = (y2 - y1) / (x2 - x1).
Using the points (5,4) and (5,-8), we have: m = (-8 - 4) / (5 - 5) = -12 / 0. Since the denominator is 0, the slope is undefined.
Therefore, the equation of the line passing through the points (5,4) and (5,-8) is x = 5.