Precalculus Examples

$(0, 1)$ ,

$(1, 0)$

Step 1

Find the value of the slope.

Tap for more steps...

Step 1.1

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 1.2

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 1.3

Substitute in the values of

$x$ and

$y$ into the equation to find the slope.

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

Step 1.4

Simplify.

Tap for more steps...

Step 1.4.1

Simplify the numerator.

Tap for more steps...

Step 1.4.1.1

Multiply

$- 1$ by

$1$ .

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

Step 1.4.1.2

Subtract

$1$ from

$0$ .

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

Step 1.4.2

Simplify the denominator.

Tap for more steps...

Step 1.4.2.1

Multiply

$- 1$ by

$0$ .

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

Step 1.4.2.2

Add

$1$ and

$0$ .

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

Step 1.4.3

Divide

$- 1$ by

$1$ .

$m = - 1$

Step 2

Find the value of the y-intercept.

Tap for more steps...

Step 2.1

Substitute the value of

$m$ into the slope-intercept form of the equation,

$y = m x + b$ .

$y = (- 1) \cdot x + b$

Step 2.2

Substitute the value of

$x$ into the slope-intercept form of the equation,

$y = m x + b$ .

$y = (- 1) \cdot (0) + b$

Step 2.3

Substitute the value of

$y$ into the slope-intercept form of the equation,

$y = m x + b$ .

$1 = (- 1) \cdot (0) + b$

Step 2.4

Rewrite the equation as

$(- 1) \cdot (0) + b = 1$ .

$(- 1) \cdot (0) + b = 1$

Step 2.5

Simplify

$(- 1) \cdot (0) + b$ .

Tap for more steps...

Step 2.5.1

Multiply

$- 1$ by

$0$ .

$0 + b = 1$

Step 2.5.2

Add

$0$ and

$b$ .

$b = 1$

Step 3

List the slope and y-intercept.

Slope:

$- 1$

y-intercept:

$(0, 1)$

Step 4

Enter YOUR Problem