Find the Slope (10,1) , (5,2)

$(10, 1)$ , $(5, 2)$

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.

$m = \frac{2 - (1)}{5 - (10)}$

Step 4

Simplify.

Simplify the numerator.

Multiply $- 1$ by $1$ .

$m = \frac{2 - 1}{5 - (10)}$

Subtract $1$ from $2$ .

$m = \frac{1}{5 - (10)}$

Simplify the denominator.

Multiply $- 1$ by $10$ .

$m = \frac{1}{5 - 10}$

Subtract $10$ from $5$ .

$m = \frac{1}{- 5}$

Move the negative in front of the fraction.

$m = - \frac{1}{5}$

Step 5

Find the Slope (10,1) , (5,2)

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