Question

Find the slope of the line through each pair of points.
(19, -1), (19, -19)

Answer 1

The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula:

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

In this case, the points are (19, -1) and (19, -19). Let's substitute these values into the formula:

slope = (-19 - (-1)) / (19 - 19)
= (-19 + 1) / 0

Since the denominator is 0, the slope is undefined. This is because the line passing through these two points is a vertical line, and vertical lines have undefined slopes.

Answer 2

Find the slope of the line through each pair of points.
(20, 12), (-16, -20)

Answer 3

To find the slope of the line passing through the points (20, 12) and (-16, -20), we can use the slope formula:

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

Substituting the given values:

slope = (-20 - 12) / (-16 - 20)
= -32 / -36
= 8/9

Therefore, the slope of the line passing through the points (20, 12) and (-16, -20) is 8/9.