Find the Slope (3,8) , (-2,5)

$(3, 8)$ , $(- 2, 5)$

Step 1

Slope is equal to the change in $y$ over the change in $x$ , or rise over run.

$m = \frac{change in y}{change in x}$

Step 2

The change in $x$ is equal to the difference in x-coordinates (also called run), and the change in $y$ is equal to the difference in y-coordinates (also called rise).

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

Step 3

Substitute in the values of $x$ and $y$ into the equation to find the slope.

$m = \frac{5 - (8)}{- 2 - (3)}$

Step 4

Simplify.

Simplify the numerator.

Multiply $- 1$ by $8$ .

$m = \frac{5 - 8}{- 2 - (3)}$

Subtract $8$ from $5$ .

$m = \frac{- 3}{- 2 - (3)}$

Simplify the denominator.

Multiply $- 1$ by $3$ .

$m = \frac{- 3}{- 2 - 3}$

Subtract $3$ from $- 2$ .

$m = \frac{- 3}{- 5}$

Dividing two negative values results in a positive value.

$m = \frac{3}{5}$

Step 5

Find the Slope (3,8) , (-2,5)

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