Finite Math Examples

$3 y - 3 x = 9$

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

Add $3 x$ to both sides of the equation.

$3 y = 9 + 3 x$

Step 1.3

Divide each term in $3 y = 9 + 3 x$ by $3$ and simplify.

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Step 1.3.1

Divide each term in $3 y = 9 + 3 x$ by $3$ .

$\frac{3 y}{3} = \frac{9}{3} + \frac{3 x}{3}$

Step 1.3.2

Simplify the left side.

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Step 1.3.2.1

Cancel the common factor of $3$ .

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Step 1.3.2.1.1

Cancel the common factor.

$\frac{3 y}{3} = \frac{9}{3} + \frac{3 x}{3}$

Step 1.3.2.1.2

Divide $y$ by $1$ .

$y = \frac{9}{3} + \frac{3 x}{3}$

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

Divide $9$ by $3$ .

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

Step 1.3.3.1.2

Cancel the common factor of $3$ .

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Step 1.3.3.1.2.1

Cancel the common factor.

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

Step 1.3.3.1.2.2

Divide $x$ by $1$ .

$y = 3 + x$

Step 1.4

Reorder $3$ and $x$ .

$y = x + 3$

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 $y = m x + b$ .

$m = 1$

$b = 3$

Step 2.2

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

Slope: $1$

y-intercept: $(0, 3)$

Slope: $1$

y-intercept: $(0, 3)$

Step 3