Pre-Algebra Examples

$8 x + 8 y = 7 y - 2$

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

Move all terms containing $y$ to the left side of the equation.

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Step 1.2.1

Subtract $7 y$ from both sides of the equation.

$8 x + 8 y - 7 y = - 2$

Step 1.2.2

Subtract $7 y$ from $8 y$ .

$8 x + y = - 2$

Step 1.3

Subtract $8 x$ from both sides of the equation.

$y = - 2 - 8 x$

Step 1.4

Reorder $- 2$ and $- 8 x$ .

$y = - 8 x - 2$

Step 2

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

$m = - 8$

Step 3