Pre-Algebra Examples

$y - (- 2) = (- 5) (x - (- 2))$

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

Multiply $- 1$ by $- 2$ .

$y + 2 = (- 5) (x - (- 2))$

Step 1.3

Simplify the right side.

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Step 1.3.1

Simplify $(- 5) (x - (- 2))$ .

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Step 1.3.1.1

Multiply $- 1$ by $- 2$ .

$y + 2 = - 5 (x + 2)$

Step 1.3.1.2

Apply the distributive property.

$y + 2 = - 5 x - 5 \cdot 2$

Step 1.3.1.3

Multiply $- 5$ by $2$ .

$y + 2 = - 5 x - 10$

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 $2$ from both sides of the equation.

$y = - 5 x - 10 - 2$

Step 1.4.2

Subtract $2$ from $- 10$ .

$y = - 5 x - 12$

Step 2

Using the slope-intercept form, the slope is $- 5$ .

$m = - 5$

Step 3