Algebra Examples

$y - 7 = 8 (x - 14)$

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 $8 (x - 14)$ .

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Step 1.2.1.1

Apply the distributive property.

$y - 7 = 8 x + 8 \cdot - 14$

Step 1.2.1.2

Multiply $8$ by $- 14$ .

$y - 7 = 8 x - 112$

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 $7$ to both sides of the equation.

$y = 8 x - 112 + 7$

Step 1.3.2

Add $- 112$ and $7$ .

$y = 8 x - 105$

Step 2

Using the slope-intercept form, the slope is $8$ .

$m = 8$

Step 3