Pre-Algebra Examples

$9.1 = \frac{x}{- 0.7}$

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.

$- 1.\overline{428571} x = 9.1$

Step 1.2

Divide each term in $- 1.\overline{428571} x = 9.1$ by $- 1.\overline{428571}$ and simplify.

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Step 1.2.1

Divide each term in $- 1.\overline{428571} x = 9.1$ by $- 1.\overline{428571}$ .

$\frac{- 1.\overline{428571} x}{- 1.\overline{428571}} = \frac{9.1}{- 1.\overline{428571}}$

Step 1.2.2

Simplify the left side.

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Step 1.2.2.1

Cancel the common factor of $- 1.\overline{428571}$ .

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Step 1.2.2.1.1

Cancel the common factor.

$\frac{- 1.\overline{428571} x}{- 1.\overline{428571}} = \frac{9.1}{- 1.\overline{428571}}$

Step 1.2.2.1.2

Divide $x$ by $1$ .

$x = \frac{9.1}{- 1.\overline{428571}}$

Step 1.2.3

Simplify the right side.

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Step 1.2.3.1

Divide $9.1$ by $- 1.\overline{428571}$ .

$x = - 6.36\overline{9}$

Step 2

Since $x = - 6.36\overline{9}$ 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.

$\begin{array}{c} x & y \\ - 6.37 & 0 \\ - 6.37 & 1 \end{array}$

Step 4

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

Slope: Undefined

y-intercept: No y-intercept

$\begin{array}{c} x & y \\ - 6.37 & 0 \\ - 6.37 & 1 \end{array}$

Step 5