Pre-Algebra Examples

$0 = 6 - 2 x$

Step 1

Solve for $y$ .

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Step 1.1

Since $x$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$6 - 2 x = 0$

Step 1.2

Subtract $6$ from both sides of the equation.

$- 2 x = - 6$

Step 1.3

Divide each term in $- 2 x = - 6$ by $- 2$ and simplify.

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Step 1.3.1

Divide each term in $- 2 x = - 6$ by $- 2$ .

$\frac{- 2 x}{- 2} = \frac{- 6}{- 2}$

Step 1.3.2

Simplify the left side.

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Step 1.3.2.1

Cancel the common factor of $- 2$ .

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Step 1.3.2.1.1

Cancel the common factor.

$\frac{- 2 x}{- 2} = \frac{- 6}{- 2}$

Step 1.3.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 6}{- 2}$

Step 1.3.3

Simplify the right side.

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Step 1.3.3.1

Divide $- 6$ by $- 2$ .

$x = 3$

Step 2

Since $x = 3$ 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.

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

Step 4

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

Slope: Undefined

y-intercept: No y-intercept

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

Step 5