Precalculus Examples

$2 (x - 3) = y + 3$

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

Simplify the left side.

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Step 1.2.1

Simplify $2 (x - 3)$ .

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Step 1.2.1.1

Apply the distributive property.

$2 x + 2 \cdot - 3 = y + 3$

Step 1.2.1.2

Multiply $2$ by $- 3$ .

$2 x - 6 = y + 3$

Step 1.3

Rewrite the equation as $y + 3 = 2 x - 6$ .

$y + 3 = 2 x - 6$

Step 1.4

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

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Step 1.4.1

Subtract $3$ from both sides of the equation.

$y = 2 x - 6 - 3$

Step 1.4.2

Subtract $3$ from $- 6$ .

$y = 2 x - 9$

Step 2

Using the slope-intercept form, the slope is $2$ .

$m = 2$

Step 3