What is the slope of the line shown? Enter your answer and show all the steps that you used to solve the problem in order to get full credit. (-4,5) and(8,-5)

1 answer

To find the slope of the line passing through the points (-4, 5) and (8, -5), we can use the formula:

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

We have:

(x1, y1) = (-4, 5)
(x2, y2) = (8, -5)

Hence:

slope = (-5 - 5) / (8 - (-4))
= (-5 - 5) / (8 + 4)
= (-10) / 12
= -5/6

Therefore, the slope of the line is -5/6.