Algebra Examples

$(- 3, 7)$ , $(1, 0)$

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.

$m = \frac{0 - (7)}{1 - (- 3)}$

Step 4

Simplify.

Tap for more steps...

Step 4.1

Simplify the numerator.

Tap for more steps...

Step 4.1.1

Multiply $- 1$ by $7$ .

$m = \frac{0 - 7}{1 - (- 3)}$

Step 4.1.2

Subtract $7$ from $0$ .

$m = \frac{- 7}{1 - (- 3)}$

Step 4.2

Simplify the denominator.

Tap for more steps...

Step 4.2.1

Multiply $- 1$ by $- 3$ .

$m = \frac{- 7}{1 + 3}$

Step 4.2.2

Add $1$ and $3$ .

$m = \frac{- 7}{4}$

Step 4.3

Move the negative in front of the fraction.

$m = - \frac{7}{4}$

Step 5