Algebra Examples

$\frac{(- 1 - 0)}{(3 - (- 4))}$

Step 1

Write $\frac{(- 1 - 0)}{(3 - (- 4))}$ as an equation.

$y = \frac{(- 1 - 0)}{(3 - (- 4))}$

Step 2

Rewrite in slope-intercept form.

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Step 2.1

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 2.2

Simplify the right side.

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Step 2.2.1

Simplify $\frac{(- 1 - 0)}{(3 - (- 4))}$ .

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Step 2.2.1.1

Simplify the numerator.

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Step 2.2.1.1.1

Multiply $- 1$ by $0$ .

$y = \frac{- 1 + 0}{3 - (- 4)}$

Step 2.2.1.1.2

Add $- 1$ and $0$ .

$y = \frac{- 1}{3 - (- 4)}$

Step 2.2.1.2

Simplify the denominator.

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Step 2.2.1.2.1

Multiply $- 1$ by $- 4$ .

$y = \frac{- 1}{3 + 4}$

Step 2.2.1.2.2

Add $3$ and $4$ .

$y = \frac{- 1}{7}$

Step 2.2.1.3

Move the negative in front of the fraction.

$y = - \frac{1}{7}$

Step 3

Use the slope-intercept form to find the slope and y-intercept.

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Step 3.1

Find the values of $m$ and $b$ using the form $y = m x + b$ .

$m = 0$

$b = - \frac{1}{7}$

Step 3.2

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

Slope: $0$

y-intercept: $(0, - \frac{1}{7})$

Slope: $0$

y-intercept: $(0, - \frac{1}{7})$

Step 4