Precalculus Examples

$3 x + y = 3 x - 8$

Step 1

Rewrite in slope-intercept form.

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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

Move all terms not containing $y$ to the right side of the equation.

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Step 1.2.1

Subtract $3 x$ from both sides of the equation.

$y = 3 x - 8 - 3 x$

Step 1.2.2

Combine the opposite terms in $3 x - 8 - 3 x$ .

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Step 1.2.2.1

Subtract $3 x$ from $3 x$ .

$y = 0 - 8$

Step 1.2.2.2

Subtract $8$ from $0$ .

$y = - 8$

Step 2

Using the slope-intercept form, the slope is $0$ .

$m = 0$

Step 3