Calculus Examples

x - 5 y = 5

$x - 5 y = 5$

Step 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 2

Rewrite in slope-intercept form.

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Step 2.1

Subtract

x

$x$ from both sides of the equation.

- 5 y = 5 - x

$- 5 y = 5 - x$

Step 2.2

Divide each term in

- 5 y = 5 - x

$- 5 y = 5 - x$ by

- 5

$- 5$ and simplify.

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Step 2.2.1

Divide each term in

- 5 y = 5 - x

$- 5 y = 5 - x$ by

- 5

$- 5$ .

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

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

Step 2.2.2

Simplify the left side.

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Step 2.2.2.1

Cancel the common factor of

- 5

$- 5$ .

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Step 2.2.2.1.1

Cancel the common factor.

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

Step 2.2.2.1.2

Divide

$y$ by

$1$ .

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

Step 2.2.3

Simplify the right side.

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Step 2.2.3.1

Simplify each term.

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Step 2.2.3.1.1

Divide

$5$ by

$- 5$ .

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

Step 2.2.3.1.2

Dividing two negative values results in a positive value.

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

Step 2.3

Write in

$y = m x + b$ form.

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Step 2.3.1

Reorder

$- 1$ and

$\frac{x}{5}$ .

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

Step 2.3.2

Reorder terms.

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

$x - 5 y = 5$

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