Find the slope of the line passing through the points −7, 1 and −7, 6.slope: Find the slope of the line passing through the points −7, 5 and 3, 5.slope:

To find the slope of a line passing through two points (x1, y1) and (x2, y2), we use the formula:

slope = (y2 - y1) / (x2 - x1)

For the first pair of points (-7, 1) and (-7, 6), the slope is:

slope = (6 - 1) / (-7 - (-7)) = 5 / 0

Mathematically, division by zero is undefined. In the context of slopes, this means the line is vertical.

For the second pair of points (-7, 5) and (3, 5), the slope is:

slope = (5 - 5) / (3 - (-7)) = 0 / 10 = 0

A slope of 0 means the line is horizontal.

So, the slope of the line passing through the points -7, 1 and -7, 6 is undefined and the slope of the line passing through the points -7, 5 and 3, 5 is 0.