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What is $y=-\frac{1}{3}x-9$ written in standard form? $\newline$ Choose $1$ answer: $\newline$ (A) $x+3y=-27$ $\newline$ (B) $y=-\frac{1}{3}(x+27)$ $\newline$ (C) $3y=-x-27$ $\newline$ (D) $\frac{1}{3}x+y+9=0$

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Power rule with rational exponents

Full solution

Q. What is

y=-\frac{1}{3}x-9

written in standard form?

\newline

Choose

1

answer:

\newline

(A)

x+3y=-27

\newline

(B)

y=-\frac{1}{3}(x+27)

\newline

(C)

3y=-x-27

\newline

(D)

\frac{1}{3}x+y+9=0

Rewrite equation in standard form: Rewrite the equation $y = -\frac{1}{3}x - 9$ in standard form, which generally looks like $Ax + By + C = 0$ .
Eliminate fraction by multiplication: Multiply every term by $3$ to eliminate the fraction.
Rearrange terms on one side: Rearrange the equation to get all terms on one side.
Match with given options: Check the options given to match the derived equation.

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