Pre-Algebra Examples

$8 x + 2 y - 8 = 0$

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 not containing $y$ to the right side of the equation.

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Step 1.2.1

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

$2 y - 8 = - 8 x$

Step 1.2.2

Add $8$ to both sides of the equation.

$2 y = - 8 x + 8$

Step 1.3

Divide each term in $2 y = - 8 x + 8$ by $2$ and simplify.

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Step 1.3.1

Divide each term in $2 y = - 8 x + 8$ by $2$ .

$\frac{2 y}{2} = \frac{- 8 x}{2} + \frac{8}{2}$

Step 1.3.2

Simplify the left side.

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Step 1.3.2.1

Cancel the common factor of $2$ .

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Step 1.3.2.1.1

Cancel the common factor.

$\frac{2 y}{2} = \frac{- 8 x}{2} + \frac{8}{2}$

Step 1.3.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 8 x}{2} + \frac{8}{2}$

Step 1.3.3

Simplify the right side.

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Step 1.3.3.1

Simplify each term.

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Step 1.3.3.1.1

Cancel the common factor of $- 8$ and $2$ .

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Step 1.3.3.1.1.1

Factor $2$ out of $- 8 x$ .

$y = \frac{2 (- 4 x)}{2} + \frac{8}{2}$

Step 1.3.3.1.1.2

Cancel the common factors.

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Step 1.3.3.1.1.2.1

Factor $2$ out of $2$ .

$y = \frac{2 (- 4 x)}{2 (1)} + \frac{8}{2}$

Step 1.3.3.1.1.2.2

Cancel the common factor.

$y = \frac{2 (- 4 x)}{2 \cdot 1} + \frac{8}{2}$

Step 1.3.3.1.1.2.3

Rewrite the expression.

$y = \frac{- 4 x}{1} + \frac{8}{2}$

Step 1.3.3.1.1.2.4

Divide $- 4 x$ by $1$ .

$y = - 4 x + \frac{8}{2}$

Step 1.3.3.1.2

Divide $8$ by $2$ .

$y = - 4 x + 4$

Step 2

Use the slope-intercept form to find the slope and y-intercept.

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Step 2.1

Find the values of $m$ and $b$ using the form $y = m x + b$ .

$m = - 4$

$b = 4$

Step 2.2

The slope of the line is the value of $m$ , and the y-intercept is the value of $b$ .

Slope: $- 4$

y-intercept: $(0, 4)$

Slope: $- 4$

y-intercept: $(0, 4)$

Step 3