Find the Slope (5,8) , (6,12)

$(5, 8)$ , $(6, 12)$

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.

$m = \frac{12 - (8)}{6 - (5)}$

Step 4

Simplify.

Simplify the numerator.

Multiply $- 1$ by $8$ .

$m = \frac{12 - 8}{6 - (5)}$

Subtract $8$ from $12$ .

$m = \frac{4}{6 - (5)}$

Simplify the denominator.

Multiply $- 1$ by $5$ .

$m = \frac{4}{6 - 5}$

Subtract $5$ from $6$ .

$m = \frac{4}{1}$

Divide $4$ by $1$ .

$m = 4$

Step 5

Find the Slope (5,8) , (6,12)

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