Find the Slope (6,4) , (7,2)

$(6, 4)$ , $(7, 2)$

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.

$m = \frac{2 - (4)}{7 - (6)}$

Step 4

Simplify.

Simplify the numerator.

Multiply $- 1$ by $4$ .

$m = \frac{2 - 4}{7 - (6)}$

Subtract $4$ from $2$ .

$m = \frac{- 2}{7 - (6)}$

Simplify the denominator.

Multiply $- 1$ by $6$ .

$m = \frac{- 2}{7 - 6}$

Subtract $6$ from $7$ .

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

Divide $- 2$ by $1$ .

$m = - 2$

Step 5

Find the Slope (6,4) , (7,2)

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