Question

What is the slope of the line that contains the points (-2,6) and (6,-3)?
PLEASE SHOW WORK

Answer 1

Answer:
`-(9)/(8)`

Explanation:

If you are given two points of a line, the slope is defined as rise/run. Rise is the difference in y coordinates, (think about it, going UP is RISING), and Run is the difference in x coordinates, (again its pretty intuitive.)

So Slope =
`(y_(2) - y_(1))/(x_(2)-x_(1))`

This can be calculated with the coordinates of the two points, (order wont matter youll get the same answer).

Slope = (-3-6)/(6-(-2)) = -9/8

OR, (going the other way)

Slope = (6-(-3))/(-2-6) = 9/-8 = -9/8

Easy!