Find the Slope (0,3) , (3,1)

$(0, 3)$ , $(3, 1)$

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.

$m = \frac{1 - (3)}{3 - (0)}$

Step 4

Simplify.

Simplify the numerator.

Multiply $- 1$ by $3$ .

$m = \frac{1 - 3}{3 - (0)}$

Subtract $3$ from $1$ .

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

Simplify the denominator.

Multiply $- 1$ by $0$ .

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

Add $3$ and $0$ .

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

Move the negative in front of the fraction.

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

Step 5

Find the Slope (0,3) , (3,1)

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