Finite Math Examples

$\frac{- 3}{2} x + 2 y = - 14$

Step 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 2

Rewrite in slope-intercept form.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Simplify each term.

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Step 2.1.1.1

Move the negative in front of the fraction.

$- \frac{3}{2} x + 2 y = - 14$

Step 2.1.1.2

Combine $x$ and $\frac{3}{2}$ .

$- \frac{x \cdot 3}{2} + 2 y = - 14$

Step 2.1.1.3

Move $3$ to the left of $x$ .

$- \frac{3 x}{2} + 2 y = - 14$

Step 2.2

Add $\frac{3 x}{2}$ to both sides of the equation.

$2 y = - 14 + \frac{3 x}{2}$

Step 2.3

Divide each term in $2 y = - 14 + \frac{3 x}{2}$ by $2$ and simplify.

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Step 2.3.1

Divide each term in $2 y = - 14 + \frac{3 x}{2}$ by $2$ .

$\frac{2 y}{2} = \frac{- 14}{2} + \frac{\frac{3 x}{2}}{2}$

Step 2.3.2

Simplify the left side.

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Step 2.3.2.1

Cancel the common factor of $2$ .

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Step 2.3.2.1.1

Cancel the common factor.

$\frac{2 y}{2} = \frac{- 14}{2} + \frac{\frac{3 x}{2}}{2}$

Step 2.3.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 14}{2} + \frac{\frac{3 x}{2}}{2}$

Step 2.3.3

Simplify the right side.

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Step 2.3.3.1

Simplify each term.

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Step 2.3.3.1.1

Divide $- 14$ by $2$ .

$y = - 7 + \frac{\frac{3 x}{2}}{2}$

Step 2.3.3.1.2

Multiply the numerator by the reciprocal of the denominator.

$y = - 7 + \frac{3 x}{2} \cdot \frac{1}{2}$

Step 2.3.3.1.3

Multiply $\frac{3 x}{2} \cdot \frac{1}{2}$ .

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Step 2.3.3.1.3.1

Multiply $\frac{3 x}{2}$ by $\frac{1}{2}$ .

$y = - 7 + \frac{3 x}{2 \cdot 2}$

Step 2.3.3.1.3.2

Multiply $2$ by $2$ .

$y = - 7 + \frac{3 x}{4}$

Step 2.4

Write in $y = m x + b$ form.

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Step 2.4.1

Reorder $- 7$ and $\frac{3 x}{4}$ .

$y = \frac{3 x}{4} - 7$

Step 2.4.2

Reorder terms.

$y = \frac{3}{4} x - 7$