Finite Math Examples

$4 x = 3 y - 1$

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

Rewrite the equation as $3 y - 1 = 4 x$ .

$3 y - 1 = 4 x$

Step 2.2

Add $1$ to both sides of the equation.

$3 y = 4 x + 1$

Step 2.3

Divide each term in $3 y = 4 x + 1$ by $3$ and simplify.

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Step 2.3.1

Divide each term in $3 y = 4 x + 1$ by $3$ .

$\frac{3 y}{3} = \frac{4 x}{3} + \frac{1}{3}$

Step 2.3.2

Simplify the left side.

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Step 2.3.2.1

Cancel the common factor of $3$ .

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Step 2.3.2.1.1

Cancel the common factor.

$\frac{3 y}{3} = \frac{4 x}{3} + \frac{1}{3}$

Step 2.3.2.1.2

Divide $y$ by $1$ .

$y = \frac{4 x}{3} + \frac{1}{3}$

Step 2.4

Reorder terms.

$y = \frac{4}{3} x + \frac{1}{3}$