Finite Math Examples

$- 3 + 2 y = 8 (1 - 5 x)$

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 $8 (1 - 5 x)$ .

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Step 2.1.1.1

Apply the distributive property.

$- 3 + 2 y = 8 \cdot 1 + 8 (- 5 x)$

Step 2.1.1.2

Multiply.

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Step 2.1.1.2.1

Multiply $8$ by $1$ .

$- 3 + 2 y = 8 + 8 (- 5 x)$

Step 2.1.1.2.2

Multiply $- 5$ by $8$ .

$- 3 + 2 y = 8 - 40 x$

Step 2.2

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

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Step 2.2.1

Add $3$ to both sides of the equation.

$2 y = 8 - 40 x + 3$

Step 2.2.2

Add $8$ and $3$ .

$2 y = - 40 x + 11$

Step 2.3

Divide each term in $2 y = - 40 x + 11$ by $2$ and simplify.

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Step 2.3.1

Divide each term in $2 y = - 40 x + 11$ by $2$ .

$\frac{2 y}{2} = \frac{- 40 x}{2} + \frac{11}{2}$

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.

$\frac{2 y}{2} = \frac{- 40 x}{2} + \frac{11}{2}$

Step 2.3.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 40 x}{2} + \frac{11}{2}$

Step 2.3.3

Simplify the right side.

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Step 2.3.3.1

Cancel the common factor of $- 40$ and $2$ .

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Step 2.3.3.1.1

Factor $2$ out of $- 40 x$ .

$y = \frac{2 (- 20 x)}{2} + \frac{11}{2}$

Step 2.3.3.1.2

Cancel the common factors.

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Step 2.3.3.1.2.1

Factor $2$ out of $2$ .

$y = \frac{2 (- 20 x)}{2 (1)} + \frac{11}{2}$

Step 2.3.3.1.2.2

Cancel the common factor.

$y = \frac{2 (- 20 x)}{2 \cdot 1} + \frac{11}{2}$

Step 2.3.3.1.2.3

Rewrite the expression.

$y = \frac{- 20 x}{1} + \frac{11}{2}$

Step 2.3.3.1.2.4

Divide $- 20 x$ by $1$ .

$y = - 20 x + \frac{11}{2}$