Finite Math Examples

$y = (\frac{- 2 x}{- 10}) - 1$

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

Simplify the right side.

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Step 1.2.1

Cancel the common factor of $- 2$ and $- 10$ .

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Step 1.2.1.1

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

$y = \frac{- 2 (x)}{- 10} - 1$

Step 1.2.1.2

Cancel the common factors.

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Step 1.2.1.2.1

Factor $- 2$ out of $- 10$ .

$y = \frac{- 2 (x)}{- 2 (5)} - 1$

Step 1.2.1.2.2

Cancel the common factor.

$y = \frac{- 2 x}{- 2 \cdot 5} - 1$

Step 1.2.1.2.3

Rewrite the expression.

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

Step 1.3

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