Question

What is the slope of the line that passes through the points

(
−
5
,
8
)
(−5,8) and
(
−
5
,
4
)
(−5,4)

Answer 1

The slope of a line passing through two points (x1, y1) and (x2, y2) can be calculated using the formula:

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

Here, the given points are (-5, 8) and (-5, 4). So, we have:

x1 = -5, y1 = 8

x2 = -5, y2 = 4

Therefore, the slope of the line passing through these two points is:

slope = (4 - 8) / (-5 - (-5))

slope = -4 / 0

Since the denominator is zero, the slope of the line is undefined. This means that the line is a vertical line, parallel to the y-axis.