Question

What is the slope of the line passing through the points (−3, 4) and (2, −1) ?
PLZ help!

Answer 1

the slope of the line that passes through the points (x₁,y₁) and (x₂,y₂) is

`(y_2-y_1)/(x_2-x_1)`
given
(-3,4) and (2,-1)
(x,y)
x₁=-3
y₁=
4x₂=
y2₂=-1

subsitute

`(-1-4)/(2-(-3))`

`(-5)/(2+3)`

`(-5)/(5)`
-1
the slope is -1

Answer 2

(y2 - y1)/(x2 - x1)
^^^ Essentially says, subtract the y from y, the x from x. Y is over x. You just have to subtract them in the same order from x in the y. So you can't do 4 - -1 and then 2 - - 3.

4 - - 1 = 5 because subtracting a negative is adding a positive.
-3 - 2 = -5

So your answer is -1. Because. 5/-5.. it's.. it's -1.