Algebra Examples

$- 3 y = 27$

Step 1

Find the x-intercepts.

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Step 1.1

Divide each term in $- 3 y = 27$ by $- 3$ and simplify.

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Step 1.1.1

Divide each term in $- 3 y = 27$ by $- 3$ .

$\frac{- 3 y}{- 3} = \frac{27}{- 3}$

Step 1.1.2

Simplify the left side.

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Step 1.1.2.1

Cancel the common factor of $- 3$ .

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Step 1.1.2.1.1

Cancel the common factor.

$\frac{- 3 y}{- 3} = \frac{27}{- 3}$

Step 1.1.2.1.2

Divide $y$ by $1$ .

$y = \frac{27}{- 3}$

Step 1.1.3

Simplify the right side.

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Step 1.1.3.1

Divide $27$ by $- 3$ .

$y = - 9$

Step 1.2

Since $y = - 9$ is a horizontal line, the x-intercept(s) is equal to the value of $y$ .

x-intercept(s): $None$

Step 2

Since $y = - 9$ is a horizontal line, the y-intercept(s) is equal to the value of $y$ .

y-intercept(s): $- 9$

Step 3

List the intersections.

x-intercept(s): $None$

y-intercept(s): $- 9$

Step 4