Algebra Examples

4 x + 4 y = 20

$4 x + 4 y = 20$

Step 1

Rewrite in slope-intercept form.

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Step 1.1

The slope-intercept form is

y = m x + b

$y = m x + b$ , where

m

$m$ is the slope and

b

$b$ is the y-intercept.

y = m x + b

$y = m x + b$

Step 1.2

Subtract

4 x

$4 x$ from both sides of the equation.

4 y = 20 - 4 x

$4 y = 20 - 4 x$

Step 1.3

Divide each term in

4 y = 20 - 4 x

$4 y = 20 - 4 x$ by

4

$4$ and simplify.

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Step 1.3.1

Divide each term in

4 y = 20 - 4 x

$4 y = 20 - 4 x$ by

4

$4$ .

\frac{4 y}{4} = \frac{20}{4} + \frac{- 4 x}{4}

$\frac{4 y}{4} = \frac{20}{4} + \frac{- 4 x}{4}$

Step 1.3.2

Simplify the left side.

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Step 1.3.2.1

Cancel the common factor of

4

$4$ .

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Step 1.3.2.1.1

Cancel the common factor.

$\frac{4 y}{4} = \frac{20}{4} + \frac{- 4 x}{4}$

Step 1.3.2.1.2

Divide

$y$ by

$1$ .

$y = \frac{20}{4} + \frac{- 4 x}{4}$

$y = \frac{20}{4} + \frac{- 4 x}{4}$

$y = \frac{20}{4} + \frac{- 4 x}{4}$

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

$20$ by

$4$ .

$y = 5 + \frac{- 4 x}{4}$

Step 1.3.3.1.2

Cancel the common factor of

$- 4$ and

$4$ .

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Step 1.3.3.1.2.1

Factor

$4$ out of

$- 4 x$ .

$y = 5 + \frac{4 (- x)}{4}$

Step 1.3.3.1.2.2

Cancel the common factors.

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Step 1.3.3.1.2.2.1

Factor

$4$ out of

$4$ .

$y = 5 + \frac{4 (- x)}{4 (1)}$

Step 1.3.3.1.2.2.2

Cancel the common factor.

$y = 5 + \frac{4 (- x)}{4 \cdot 1}$

Step 1.3.3.1.2.2.3

Rewrite the expression.

$y = 5 + \frac{- x}{1}$

Step 1.3.3.1.2.2.4

Divide

$- x$ by

$1$ .

$y = 5 - x$

$y = 5 - x$

$y = 5 - x$

$y = 5 - x$

$y = 5 - x$

$y = 5 - x$

Step 1.4

Reorder

$5$ and

$- x$ .

$y = - x + 5$

$y = - x + 5$

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

$y = m x + b$ .

$m = - 1$

$b = 5$

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:

$(0, 5)$

Slope:

$- 1$

y-intercept:

$(0, 5)$

Step 3

$4 x + 4 y = 20$

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