Question

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What is the slope of the line that passes through the points (-9, 10) and (-13, 13)? Write your answer in simplest form.
Answer Attempts out of a

Answer 1

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

Explanation:

Pre-Solving

We are given that a line passes through (-9,10) and (-13, 13).

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

The slope (m) can be found using the equation
`(y_2-y_1)/(x_2-x_1)` where
`(x_1,y_1)` and
`(x_2,y_2)` are points.

Let's label the values of the points first before calculating.

`x_1=-9\\y_1=10\\x_2=-13\\y_2=13`

Solving

Substitute the values into the equation.

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

`m=(13-10)/(-13--9)`

`m=(13-10)/(-13+9)`

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

The slope of the line is
`-(3)/(4)`.