Finite Math Examples

$(0, 1)$ , $(1, 0)$

Find the slope of the line between $(0, 1)$ and $(1, 0)$ using $m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ , which is the change of $y$ over the change of $x$ .

Tap for more steps...

Slope is equal to the change in $y$ over the change in $x$ , or rise over run.

$m = \frac{change in y}{change in x}$

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).

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

Substitute in the values of $x$ and $y$ into the equation to find the slope.

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

Simplify.

Tap for more steps...

Simplify the numerator.

Tap for more steps...

Multiply $- 1$ by $1$ .

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

Subtract $1$ from $0$ .

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

Simplify the denominator.

Tap for more steps...

Multiply $- 1$ by $0$ .

$m = \frac{- 1}{1 + 0}$

Add $1$ and $0$ .

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

Divide $- 1$ by $1$ .

$m = - 1$

Use the slope $m = - 1$ and one of the given points such as $(0, 1)$ to substitute for $x_{1}$ and $y_{1}$ in the point-slope form $y - y_{1} = m \cdot (x - x_{1})$ , which is derived from the slope equation $m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ .

$y - (1) = - 1 \cdot (x - (0))$

Solve for $y$ to get the equation.

Tap for more steps...

Multiply $- 1$ by $1$ .

$y - 1 = - 1 \cdot (x - (0))$

Simplify $- 1 \cdot (x - (0))$ .

Tap for more steps...

Subtract $0$ from $x$ .

$y - 1 = - 1 \cdot x$

Rewrite $- 1 x$ as $- x$ .

$y - 1 = - x$

Add $1$ to both sides of the equation.

$y = - x + 1$

Enter YOUR Problem