Question

Find the value of y so that the points (-2,5) and (8y) lie on a line with the slope -1/5​

Answer 1

y = 3

Explanation:

Use the slope formula:

y2 - y1

m = ------------- , which here becomes

x2 - x1

y - 5 -1

m = ------------- = -----

8 - (-2) 5

Solve this for x. Cross multiplication yields:

5y - 25 = -1(10) = -10

Then 5y = 15, and y = 3