Finite Math Examples

$x - 5 y - 5 = 0$

Step 1

Rewrite in slope-intercept form.

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Step 1.1

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 1.2

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

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Step 1.2.1

Subtract $x$ from both sides of the equation.

$- 5 y - 5 = - x$

Step 1.2.2

Add $5$ to both sides of the equation.

$- 5 y = - x + 5$

Step 1.3

Divide each term in $- 5 y = - x + 5$ by $- 5$ and simplify.

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Step 1.3.1

Divide each term in $- 5 y = - x + 5$ by $- 5$ .

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

Step 1.3.2

Simplify the left side.

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Step 1.3.2.1

Cancel the common factor of $- 5$ .

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Step 1.3.2.1.1

Cancel the common factor.

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

Step 1.3.2.1.2

Divide $y$ by $1$ .

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

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

Dividing two negative values results in a positive value.

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

Step 1.3.3.1.2

Divide $5$ by $- 5$ .

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

Step 1.4

Reorder terms.

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

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 $y = m x + b$ .

$m = \frac{1}{5}$

$b = - 1$

Step 2.2

The slope of the line is the value of $m$ , and the y-intercept is the value of $b$ .

Slope: $\frac{1}{5}$

y-intercept: $(0, - 1)$

Slope: $\frac{1}{5}$

y-intercept: $(0, - 1)$

Step 3