Find the Slope (2,7) , (-1,4)

$(2, 7)$ , $(- 1, 4)$

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.

$m = \frac{4 - (7)}{- 1 - (2)}$

Step 4

Simplify.

Simplify the numerator.

Multiply $- 1$ by $7$ .

$m = \frac{4 - 7}{- 1 - (2)}$

Subtract $7$ from $4$ .

$m = \frac{- 3}{- 1 - (2)}$

Simplify the denominator.

Multiply $- 1$ by $2$ .

$m = \frac{- 3}{- 1 - 2}$

Subtract $2$ from $- 1$ .

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

Divide $- 3$ by $- 3$ .

$m = 1$

Step 5

Find the Slope (2,7) , (-1,4)

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