Find the slope of a line given the following points

Question

asked Sep 28, 2020 136k views

2 Answers

Tozevv · Answer 1 · 2020-09-28T14:43:58+0000

Answer:

-(6)/(5)

Explanation:

We are given the points (-2,4) and (3, -2).

We want to find the slope (m) of this line.

The slope can be found using the following formula:
(y_2-y_1)/(x_2-x_1) , where
(x_1,y_1) and
(x_2,y_2) are points.

Even though we are already given the points, we can label the values of them to avoid confusion and mistakes.

$x_1=-2\\y_1=4\\x_2=3\\y_2=-2$

Now, substitute the values of the points into the formula. Remember that we have negative numbers.

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

m=(-2-4)/(3--2)

m=(-6)/(3+2)

m=(-6)/(5)

The slope of the line is
-(6)/(5) .