Final answer:
The slope of the line passing through the points (5,4) and (5,-4) is undefined.
Step-by-step explanation:
To find the slope of the line passing through the points (5,4) and (5,-4), we can use the formula for slope:
m = (y2 - y1) / (x2 - x1)
Substituting the coordinates of the two points into the formula, we get:
m = (-4 - 4) / (5 - 5) = -8 / 0
The slope of the line is undefined because the denominator is zero. This means that the line is vertical and has no slope.