Precalculus Examples

3 x + y = 3 x - 8

$3 x + y = 3 x - 8$

Step 1

Rewrite in slope-intercept form.

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Step 1.1

The slope-intercept form is

y = m x + b

$y = m x + b$ , where

m

$m$ is the slope and

b

$b$ is the y-intercept.

y = m x + b

$y = m x + b$

Step 1.2

Move all terms not containing

y

$y$ to the right side of the equation.

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Step 1.2.1

Subtract

3 x

$3 x$ from both sides of the equation.

y = 3 x - 8 - 3 x

$y = 3 x - 8 - 3 x$

Step 1.2.2

Combine the opposite terms in

3 x - 8 - 3 x

$3 x - 8 - 3 x$ .

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Step 1.2.2.1

Subtract

3 x

$3 x$ from

3 x

$3 x$ .

y = 0 - 8

$y = 0 - 8$

Step 1.2.2.2

Subtract

8

$8$ from

0

$0$ .

y = - 8

$y = - 8$

y = - 8

$y = - 8$

y = - 8

$y = - 8$

y = - 8

$y = - 8$

Step 2

Using the slope-intercept form, the slope is

0

$0$ .

m = 0

$m = 0$

Step 3

[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$