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What is
y-8=3(x+1) written in standard form?
Choose 1 answer:
(A)
-3x+y=11
(B)
y-8=3x+3
(C)
y=3x+11
(D)
-3x+y-11=0

What is $y-8=3(x+1)$ written in standard form? $\newline$ Choose $1$ answer: $\newline$ (A) $-3 x+y=11$ $\newline$ (B) $y-8=3 x+3$ $\newline$ (C) $y=3 x+11$ $\newline$ (D) $-3 x+y-11=0$

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Composition of linear functions: find an equation

Full solution

Q. What is

y-8=3(x+1)

written in standard form?

\newline

Choose

1

answer:

\newline

(A)

-3 x+y=11

\newline

(B)

y-8=3 x+3

\newline

(C)

y=3 x+11

\newline

(D)

-3 x+y-11=0

Distribute the $3$ : First, distribute the $3$ to the terms inside the parentheses. $y - 8 = 3(x + 1)$ $y - 8 = 3x + 3$
Add $8$ to both sides: Next, add $8$ to both sides of the equation to move the constant term to the right side. $\newline$ $y - 8 + 8 = 3x + 3 + 8$ $\newline$ $y = 3x + 11$
Rearrange terms to standard form: Now, we need to rearrange the terms to get the equation in standard form, which is $Ax + By = C$ . We want the $x$ term first, followed by the $y$ term, and then the constant. $\newline$ $-3x + y = 11$
Check answer choices: Finally, we check the answer choices to see which one matches our equation in standard form. $\newline$ $(A) -3x + y = 11$ is the correct standard form of the given equation.

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