Finite Math Examples

$y - 6 = - 1 (x - (- 4))$

Step 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 2

Rewrite in slope-intercept form.

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Step 2.1

Simplify the right side.

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Step 2.1.1

Simplify $- 1 (x - (- 4))$ .

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Step 2.1.1.1

Multiply $- 1$ by $- 4$ .

$y - 6 = - 1 (x + 4)$

Step 2.1.1.2

Apply the distributive property.

$y - 6 = - 1 x - 1 \cdot 4$

Step 2.1.1.3

Simplify the expression.

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Step 2.1.1.3.1

Rewrite $- 1 x$ as $- x$ .

$y - 6 = - x - 1 \cdot 4$

Step 2.1.1.3.2

Multiply $- 1$ by $4$ .

$y - 6 = - x - 4$

Step 2.2

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

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Step 2.2.1

Add $6$ to both sides of the equation.

$y = - x - 4 + 6$

Step 2.2.2

Add $- 4$ and $6$ .

$y = - x + 2$