Pre-Algebra Examples

$2 - 6 - 3 y = 0$

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

Simplify the left side.

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Step 1.2.1

Subtract $6$ from $2$ .

$- 4 - 3 y = 0$

Step 1.3

Add $4$ to both sides of the equation.

$- 3 y = 4$

Step 1.4

Divide each term in $- 3 y = 4$ by $- 3$ and simplify.

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Step 1.4.1

Divide each term in $- 3 y = 4$ by $- 3$ .

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

Step 1.4.2

Simplify the left side.

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Step 1.4.2.1

Cancel the common factor of $- 3$ .

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Step 1.4.2.1.1

Cancel the common factor.

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

Step 1.4.2.1.2

Divide $y$ by $1$ .

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

Step 1.4.3

Simplify the right side.

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Step 1.4.3.1

Move the negative in front of the fraction.

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

Step 2

Using the slope-intercept form, the y-intercept is $- \frac{4}{3}$ .

$b = - \frac{4}{3}$

Step 3

y-intercept in point form.

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

Step 4