Question

Find the slope of the line contains P1 and P2

Interpret this slope

P1=(-1,3 and p2 =(5,-1)

Answer 1

`m = -(2)/(3)`

Explanation:

Given

`P_1 = (-1,3)`

`P_2 = (5,-1)`

Required

Determine and interpret slope

Slope is calculated using:

`m = (y_2 - y_1)/(x_2 - x_1)`

Where

`(x_1,y_1) = (-1,3)`

`(x_2,y_2) = (5,-1)`

`m = (y_2 - y_1)/(x_2 - x_1)` becomes

`m = (-1 - 3)/(5 - (-1))`

`m = (-1 - 3)/(5 +1)`

`m = (-4)/(6)`

`m = -(2)/(3)`

The above slope is negative and it implies that x increases when y decreases and vice versa.