Find the slope of the line through the pair of points.
A(2, –3), P(2, 9)
To find the slope of the line through the points A(2, -3) and P(2, 9), we use the formula for finding the slope of a line passing through two points (x1, y1) and (x2, y2):
Slope = (y2 - y1) / (x2 - x1)
In this case, the points are A(2, -3) and P(2, 9).
Substitute the coordinates into the formula:
Slope = (9 - (-3)) / (2 - 2)
Slope = (9 + 3) / 0
Slope = 12 / 0
Since division by zero is undefined, we cannot find the slope of the line through these two points. This means the line is a vertical line with an undefined slope.