Pre-Algebra Examples

$x = \frac{6}{5} y$

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

Combine $\frac{6}{5}$ and $y$ .

$x = \frac{6 y}{5}$

Step 1.3

Rewrite the equation as $\frac{6 y}{5} = x$ .

$\frac{6 y}{5} = x$

Step 1.4

Multiply both sides of the equation by $\frac{5}{6}$ .

$\frac{5}{6} \cdot \frac{6 y}{5} = \frac{5}{6} x$

Step 1.5

Simplify both sides of the equation.

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Step 1.5.1

Simplify the left side.

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Step 1.5.1.1

Simplify $\frac{5}{6} \cdot \frac{6 y}{5}$ .

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Step 1.5.1.1.1

Cancel the common factor of $5$ .

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Step 1.5.1.1.1.1

Cancel the common factor.

$\frac{5}{6} \cdot \frac{6 y}{5} = \frac{5}{6} x$

Step 1.5.1.1.1.2

Rewrite the expression.

$\frac{1}{6} (6 y) = \frac{5}{6} x$

Step 1.5.1.1.2

Cancel the common factor of $6$ .

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Step 1.5.1.1.2.1

Factor $6$ out of $6 y$ .

$\frac{1}{6} (6 (y)) = \frac{5}{6} x$

Step 1.5.1.1.2.2

Cancel the common factor.

$\frac{1}{6} (6 y) = \frac{5}{6} x$

Step 1.5.1.1.2.3

Rewrite the expression.

$y = \frac{5}{6} x$

Step 1.5.2

Simplify the right side.

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Step 1.5.2.1

Combine $\frac{5}{6}$ and $x$ .

$y = \frac{5 x}{6}$

Step 1.6

Reorder terms.

$y = \frac{5}{6} x$

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 $y = m x + b$ .

$m = \frac{5}{6}$

$b = 0$

Step 2.2

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

Slope: $\frac{5}{6}$

y-intercept: $(0, 0)$

Slope: $\frac{5}{6}$

y-intercept: $(0, 0)$

Step 3