Find the Slope (-7,-7) , (-3,6)

$(- 7, - 7)$ , $(- 3, 6)$

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.

$m = \frac{6 - (- 7)}{- 3 - (- 7)}$

Step 4

Simplify.

Simplify the numerator.

Multiply $- 1$ by $- 7$ .

$m = \frac{6 + 7}{- 3 - (- 7)}$

Add $6$ and $7$ .

$m = \frac{13}{- 3 - (- 7)}$

Simplify the denominator.

Multiply $- 1$ by $- 7$ .

$m = \frac{13}{- 3 + 7}$

Add $- 3$ and $7$ .

$m = \frac{13}{4}$

Step 5

Find the Slope (-7,-7) , (-3,6)

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