Algebra Examples

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

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 right 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.

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

Step 1.2.1.2

Multiply $- 2$ by $- 3$ .

$y + 2 = - 2 x + 6$

Step 1.3

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

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Step 1.3.1

Subtract $2$ from both sides of the equation.

$y = - 2 x + 6 - 2$

Step 1.3.2

Subtract $2$ from $6$ .

$y = - 2 x + 4$

Step 2

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

$m = - 2$

Step 3