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

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

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.

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

Step 4

Simplify.

Simplify the numerator.

Multiply $- 1$ by $- 4$ .

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

Add $0$ and $4$ .

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

Simplify the denominator.

Multiply $- 1$ by $- 3$ .

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

Add $3$ and $3$ .

$m = \frac{4}{6}$

Cancel the common factor of $4$ and $6$ .

Factor $2$ out of $4$ .

$m = \frac{2 (2)}{6}$

Cancel the common factors.

Factor $2$ out of $6$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Step 5

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

Related Questions

Support LCMGCF.com by disabling your adblocker.