Final answer:
The slope of the line that passes through (5, -3) and (5, 2) is undefined because it represents a vertical line, which does not have a defined slope.
Step-by-step explanation:
The slope of the line that passes through the points (5, − 3) and (5, 2) is calculated using the slope formula, which is (y2 - y1) / (x2 - x1). In this case:
- x1 = 5 and y1 = -3
- x2 = 5 and y2 = 2
Substituting into the slope formula, we get:
Slope = (2 - (-3)) / (5 - 5)
Slope = (5) / (0)
Since division by zero is undefined, this line is a vertical line and therefore its slope is undefined.