Find the Slope (-2,-3) , (4,0)

$(- 2, - 3)$ , $(4, 0)$

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.

$m = \frac{0 - (- 3)}{4 - (- 2)}$

Step 4

Simplify.

Simplify the numerator.

Multiply $- 1$ by $- 3$ .

$m = \frac{0 + 3}{4 - (- 2)}$

Add $0$ and $3$ .

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

Simplify the denominator.

Multiply $- 1$ by $- 2$ .

$m = \frac{3}{4 + 2}$

Add $4$ and $2$ .

$m = \frac{3}{6}$

Cancel the common factor of $3$ and $6$ .

Factor $3$ out of $3$ .

$m = \frac{3 (1)}{6}$

Cancel the common factors.

Factor $3$ out of $6$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Step 5

Find the Slope (-2,-3) , (4,0)

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