Pre-Algebra Examples

$4 x - 8 y = 0$

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

Subtract $4 x$ from both sides of the equation.

$- 8 y = - 4 x$

Step 1.3

Divide each term in $- 8 y = - 4 x$ by $- 8$ and simplify.

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Step 1.3.1

Divide each term in $- 8 y = - 4 x$ by $- 8$ .

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

Step 1.3.2

Simplify the left side.

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Step 1.3.2.1

Cancel the common factor of $- 8$ .

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Step 1.3.2.1.1

Cancel the common factor.

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

Step 1.3.2.1.2

Divide $y$ by $1$ .

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

Step 1.3.3

Simplify the right side.

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Step 1.3.3.1

Cancel the common factor of $- 4$ and $- 8$ .

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Step 1.3.3.1.1

Factor $- 4$ out of $- 4 x$ .

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

Step 1.3.3.1.2

Cancel the common factors.

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Step 1.3.3.1.2.1

Factor $- 4$ out of $- 8$ .

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

Step 1.3.3.1.2.2

Cancel the common factor.

$y = \frac{- 4 x}{- 4 \cdot 2}$

Step 1.3.3.1.2.3

Rewrite the expression.

$y = \frac{x}{2}$

Step 1.4

Reorder terms.

$y = \frac{1}{2} x$

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 $y = m x + b$ .

$m = \frac{1}{2}$

$b = 0$

Step 2.2

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

Slope: $\frac{1}{2}$

y-intercept: $(0, 0)$

Slope: $\frac{1}{2}$

y-intercept: $(0, 0)$

Step 3