Find the Slope (-3,4) , (2,1)

$(- 3, 4)$ , $(2, 1)$

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.

$m = \frac{1 - (4)}{2 - (- 3)}$

Step 4

Simplify.

Simplify the numerator.

Multiply $- 1$ by $4$ .

$m = \frac{1 - 4}{2 - (- 3)}$

Subtract $4$ from $1$ .

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

Simplify the denominator.

Multiply $- 1$ by $- 3$ .

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

Add $2$ and $3$ .

$m = \frac{- 3}{5}$

Move the negative in front of the fraction.

$m = - \frac{3}{5}$

Step 5

Find the Slope (-3,4) , (2,1)

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