What is y-10=9(x+8) written in standard form? Choose 1 answer: (A) y=9x+82 (B) -9x+y=82 (C) y=9x+18 (D) -9x+y=18

Distribute 9 to terms: 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.Add 10 to both sides: First, distribute the 9 to both terms inside the parentheses: y - 10 = 9x + 72.Combine like terms: Next, add 10 to both sides to get the y term by itself: y = 9x + 72 + 10.Move x term: Combine like terms on the right side: y = 9x + 82.Check coefficient: Now, to get it into standard form, we need to move the x term to the same side as the y term. Subtract 9x from both sides: -9x + y = 82.Finalize standard form: Check if the coefficient of x is non-negative. Since it is negative, we can multiply the entire equation by -1 to make it positive, but this is not necessary as standard form can also have a negative coefficient for x if it leads to a simpler form. In this case, we will leave it as is because the answer choices allow for a negative coefficient.

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What is
y-10=9(x+8) written in standard form?
Choose 1 answer:
(A)
y=9x+82
(B)
-9x+y=82
(C)
y=9x+18
(D)
-9x+y=18

What is $y-10=9(x+8)$ written in standard form? $\newline$ Choose $1$ answer: $\newline$ (A) $y=9 x+82$ $\newline$ (B) $-9 x+y=82$ $\newline$ (C) $y=9 x+18$ $\newline$ (D) $-9 x+y=18$

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Algebra 1

Identify equivalent linear expressions

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Q. What is

y-10=9(x+8)

written in standard form?

\newline

Choose

1

answer:

\newline

(A)

y=9 x+82

\newline

(B)

-9 x+y=82

\newline

(C)

y=9 x+18

\newline

(D)

-9 x+y=18

Distribute $9$ to terms: 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.
Add $10$ to both sides: First, distribute the $9$ to both terms inside the parentheses: $y - 10 = 9x + 72$ .
Combine like terms: Next, add $10$ to both sides to get the $y$ term by itself: $y = 9x + 72 + 10$ .
Move $x$ term: Combine like terms on the right side: $y = 9x + 82$ .
Check coefficient: Now, to get it into standard form, we need to move the $x$ term to the same side as the $y$ term. Subtract $9x$ from both sides: $-9x + y = 82$ .
Finalize standard form: Check if the coefficient of $x$ is non-negative. Since it is negative, we can multiply the entire equation by $-1$ to make it positive, but this is not necessary as standard form can also have a negative coefficient for $x$ if it leads to a simpler form. In this case, we will leave it as is because the answer choices allow for a negative coefficient.