Finite Math Examples

$- 3 x + 7 y = 63$

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

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

$7 y = 63 + 3 x$

Step 2.2

Divide each term in $7 y = 63 + 3 x$ by $7$ and simplify.

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Step 2.2.1

Divide each term in $7 y = 63 + 3 x$ by $7$ .

$\frac{7 y}{7} = \frac{63}{7} + \frac{3 x}{7}$

Step 2.2.2

Simplify the left side.

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Step 2.2.2.1

Cancel the common factor of $7$ .

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Step 2.2.2.1.1

Cancel the common factor.

$\frac{7 y}{7} = \frac{63}{7} + \frac{3 x}{7}$

Step 2.2.2.1.2

Divide $y$ by $1$ .

$y = \frac{63}{7} + \frac{3 x}{7}$

Step 2.2.3

Simplify the right side.

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Step 2.2.3.1

Divide $63$ by $7$ .

$y = 9 + \frac{3 x}{7}$

Step 2.3

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

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Step 2.3.1

Reorder $9$ and $\frac{3 x}{7}$ .

$y = \frac{3 x}{7} + 9$

Step 2.3.2

Reorder terms.

$y = \frac{3}{7} x + 9$