Pre-Algebra Examples

$y - 11 = - 1 (x - 4)$

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 $- 1 (x - 4)$ .

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Step 1.2.1.1

Apply the distributive property.

$y - 11 = - 1 x - 1 \cdot - 4$

Step 1.2.1.2

Simplify the expression.

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Step 1.2.1.2.1

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

$y - 11 = - x - 1 \cdot - 4$

Step 1.2.1.2.2

Multiply $- 1$ by $- 4$ .

$y - 11 = - x + 4$

Step 1.3

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

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Step 1.3.1

Add $11$ to both sides of the equation.

$y = - x + 4 + 11$

Step 1.3.2

Add $4$ and $11$ .

$y = - x + 15$

Step 2

Using the slope-intercept form, the slope is $- 1$ .

$m = - 1$

Step 3