Finite Math Examples

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

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

Simplify the right side.

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Step 2.1.1

Simplify $\frac{7}{- 3} \cdot (x - 1)$ .

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Step 2.1.1.1

Move the negative in front of the fraction.

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

Step 2.1.1.2

Apply the distributive property.

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

Step 2.1.1.3

Combine $x$ and $\frac{7}{3}$ .

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

Step 2.1.1.4

Multiply $- \frac{7}{3} \cdot - 1$ .

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Step 2.1.1.4.1

Multiply $- 1$ by $- 1$ .

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

Step 2.1.1.4.2

Multiply $\frac{7}{3}$ by $1$ .

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

Step 2.1.1.5

Move $7$ to the left of $x$ .

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

Step 2.2

Move all terms not containing $y$ to the right side of the equation.

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Step 2.2.1

Subtract $3$ from both sides of the equation.

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

Step 2.2.2

To write $- 3$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

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

Step 2.2.3

Combine $- 3$ and $\frac{3}{3}$ .

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

Step 2.2.4

Combine the numerators over the common denominator.

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

Step 2.2.5

Simplify the numerator.

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Step 2.2.5.1

Multiply $- 3$ by $3$ .

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

Step 2.2.5.2

Subtract $9$ from $7$ .

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

Step 2.2.6

Move the negative in front of the fraction.

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

Step 2.3

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

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Step 2.3.1

Reorder terms.

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

Step 2.3.2

Remove parentheses.

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