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

Distribute the 9: Distribute the 9 to both terms inside the parentheses. y - 10 = 9(x + 8) y - 10 = 9x + 72Add 10 to both sides: Add 10 to both sides to isolate the y term on one side. y - 10 + 10 = 9x + 72 + 10 y = 9x + 82Move x term to the left: To write the equation in standard form, Ax + By = C, we need to move the x term to the same side as the y term. Subtract 9x from both sides to get the x term on the left side. -9x + y = 82Check coefficients and x term: Check if the coefficients are integers and the x term is positive, which is the standard form convention. The coefficient of x is -9, which is an integer, but it is not positive. However, in standard form, A can be negative as long as A, B, and C are integers and the greatest common factor of A, B, and C is 1. In this case, the equation -9x + y = 82 is in standard form.

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

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

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Math Problems

Algebra 1

Identify equivalent linear expressions

Full solution

Q. What is

y-10=9(x+8)

written in standard form?

\newline

Choose

1

answer:

\newline

(A)

-9 x+y=18

\newline

(B)

-9 x+y=82

\newline

(C)

y=9 x+82

\newline

(D)

y=9 x+18

Distribute the $9$ : Distribute the $9$ to both terms inside the parentheses. $y - 10 = 9(x + 8)$ $y - 10 = 9x + 72$
Add $10$ to both sides: Add $10$ to both sides to isolate the y term on one side. $\newline$ $y - 10 + 10 = 9x + 72 + 10$ $\newline$ $y = 9x + 82$
Move x term to the left: To write the equation in standard form, $Ax + By = C$ , we need to move the $x$ term to the same side as the $y$ term. $\newline$ Subtract $9x$ from both sides to get the $x$ term on the left side. $\newline$ $-9x + y = 82$
Check coefficients and x term: Check if the coefficients are integers and the x term is positive, which is the standard form convention. $\newline$ The coefficient of x is $-9$ , which is an integer, but it is not positive. However, in standard form, $A$ can be negative as long as $A$ , $B$ , and $C$ are integers and the greatest common factor of $A$ , $B$ , and $C$ is $1$ . In this case, the equation $-9x + y = 82$ is in standard form.