Pre-Algebra Examples

$3 (0) - y = 15$

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 left side.

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Step 1.2.1

Simplify $3 (0) - y$ .

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Step 1.2.1.1

Multiply $3$ by $0$ .

$0 - y = 15$

Step 1.2.1.2

Subtract $y$ from $0$ .

$- y = 15$

Step 1.3

Divide each term in $- y = 15$ by $- 1$ and simplify.

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Step 1.3.1

Divide each term in $- y = 15$ by $- 1$ .

$\frac{- y}{- 1} = \frac{15}{- 1}$

Step 1.3.2

Simplify the left side.

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Step 1.3.2.1

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{15}{- 1}$

Step 1.3.2.2

Divide $y$ by $1$ .

$y = \frac{15}{- 1}$

Step 1.3.3

Simplify the right side.

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Step 1.3.3.1

Divide $15$ by $- 1$ .

$y = - 15$

Step 2

Using the slope-intercept form, the y-intercept is $- 15$ .

$b = - 15$

Step 3

y-intercept in point form.

$(0, - 15)$

Step 4