Pre-Algebra Examples

$3 x + 8 = 0$

Step 1

Solve for $y$ .

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Step 1.1

Subtract $8$ from both sides of the equation.

$3 x = - 8$

Step 1.2

Divide each term in $3 x = - 8$ by $3$ and simplify.

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Step 1.2.1

Divide each term in $3 x = - 8$ by $3$ .

$\frac{3 x}{3} = \frac{- 8}{3}$

Step 1.2.2

Simplify the left side.

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Step 1.2.2.1

Cancel the common factor of $3$ .

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Step 1.2.2.1.1

Cancel the common factor.

$\frac{3 x}{3} = \frac{- 8}{3}$

Step 1.2.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 8}{3}$

Step 1.2.3

Simplify the right side.

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Step 1.2.3.1

Move the negative in front of the fraction.

$x = - \frac{8}{3}$

Step 2

Since $x = - \frac{8}{3}$ is a vertical line, there is no y-intercept and the slope is undefined.

Slope: Undefined

y-intercept: No y-intercept

Step 3

Find two points on the line.

$\begin{array}{c} x & y \\ - \frac{8}{3} & 0 \\ - \frac{8}{3} & 1 \end{array}$

Step 4

Graph the line using the slope, y-intercept, and two points.

Slope: Undefined

y-intercept: No y-intercept

$\begin{array}{c} x & y \\ - \frac{8}{3} & 0 \\ - \frac{8}{3} & 1 \end{array}$

Step 5