Find the Slope (4,2) , (6,2)

$(4, 2)$ , $(6, 2)$

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.

$m = \frac{2 - (2)}{6 - (4)}$

Step 4

Simplify.

Simplify the numerator.

Multiply $- 1$ by $2$ .

$m = \frac{2 - 2}{6 - (4)}$

Subtract $2$ from $2$ .

$m = \frac{0}{6 - (4)}$

Simplify the denominator.

Multiply $- 1$ by $4$ .

$m = \frac{0}{6 - 4}$

Subtract $4$ from $6$ .

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

Divide $0$ by $2$ .

$m = 0$

Step 5

Find the Slope (4,2) , (6,2)

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