Precalculus Examples

$x + y = 5$

Step 1

Rewrite in slope-intercept form.

Tap for more steps...

Step 1.1

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Step 1.2

Subtract $x$ from both sides of the equation.

$y = 5 - x$

Step 1.3

Reorder $5$ and $- x$ .

$y = - x + 5$

Step 2

Using the slope-intercept form, the slope is $- 1$ .

$m = - 1$

Step 3

All lines that are parallel to $y = - x + 5$ have the same slope of $- 1$ .

$m_{parallel} = - 1$

Step 4