Find the Slope (3,8) , (7,7)

$(3, 8)$ , $(7, 7)$

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.

$m = \frac{7 - (8)}{7 - (3)}$

Step 4

Simplify.

Simplify the numerator.

Multiply $- 1$ by $8$ .

$m = \frac{7 - 8}{7 - (3)}$

Subtract $8$ from $7$ .

$m = \frac{- 1}{7 - (3)}$

Simplify the denominator.

Multiply $- 1$ by $3$ .

$m = \frac{- 1}{7 - 3}$

Subtract $3$ from $7$ .

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

Move the negative in front of the fraction.

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

Step 5

Find the Slope (3,8) , (7,7)

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