Find the Slope (-2,1) , (3,1)

$(- 2, 1)$ , $(3, 1)$

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.

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

Step 4

Simplify.

Simplify the numerator.

Multiply $- 1$ by $1$ .

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

Subtract $1$ from $1$ .

$m = \frac{0}{3 - (- 2)}$

Simplify the denominator.

Multiply $- 1$ by $- 2$ .

$m = \frac{0}{3 + 2}$

Add $3$ and $2$ .

$m = \frac{0}{5}$

Divide $0$ by $5$ .

$m = 0$

Step 5

Find the Slope (-2,1) , (3,1)

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