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What is
y=-(2)/(9)x+2 written in standard form?
Choose 1 answer:
(A)
2x+9y=2
(B)
2x+9y=18
(C)
2x+y=18
(D)
2x+y=2

What is $y=-\frac{2}{9} x+2$ written in standard form? $\newline$ Choose $1$ answer: $\newline$ (A) $2 x+9 y=2$ $\newline$ (B) $2 x+9 y=18$ $\newline$ (C) $2 x+y=18$ $\newline$ (D) $2 x+y=2$

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Composition of linear functions: find an equation

Full solution

Q. What is

y=-\frac{2}{9} x+2

written in standard form?

\newline

Choose

1

answer:

\newline

(A)

2 x+9 y=2

\newline

(B)

2 x+9 y=18

\newline

(C)

2 x+y=18

\newline

(D)

2 x+y=2

Standard Form Explanation: To write the equation in standard form, we need to have the $x$ and $y$ terms on the same side and the constant on the other side. The standard form is $Ax + By = C$ , where $A$ , $B$ , and $C$ are integers, and $A$ should be non-negative.
Eliminating the Fraction: Multiply both sides of the equation by $9$ to eliminate the fraction: $\newline$ $9y = -2x + 18$
Moving the $x$ Term: Now, move the $x$ term to the left side by adding $2$ x to both sides: $\newline$ $2$ x + $9$ y = $18$
Checking Coefficients: Check if the coefficients are integers and if the $x$ coefficient is non-negative, which they are. So, the equation is now in standard form.

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