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Rewrite the following equation in standard form. $\newline$ $y = 9x + 8$ $\newline$ Hint: The standard form of a linear equation is $Ax + By = C$ where $A$ and $B$ are not both zero, and $A$ , $B$ , and $C$ are integers whose GCF is $1$ .

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Write linear equations in standard form

Full solution

Q. Rewrite the following equation in standard form.

\newline

y = 9x + 8

\newline

Hint: The standard form of a linear equation is

Ax + By = C

where

A

and

B

are not both zero, and

A

,

B

, and

C

are integers whose GCF is

1

.

Start Equation Operation: Start with the given equation. $\newline$ $y = 9x - 8$ $\newline$ Which operation should be used to isolate the constant, $-8$ ? $\newline$ In $y = 9x - 8$ , $9x$ is positive. $\newline$ The subtraction is used to isolate $-8$ .
Move X Term: Rewrite the equation to move the term involving $x$ to the other side of the equation. $\newline$ $y = 9x - 8$ $\newline$ Subtract $9x$ from both sides to get the $x$ term on the left side. $\newline$ $y - 9x = -8 - 9x$
Simplify Equation: Simplify the equation. $\newline$ $y - 9x = -8 - 9x$ is incorrect because subtracting $9x$ from the right side is unnecessary and introduces a math error. The correct step is to subtract $9x$ from both sides to get: $\newline$ $-9x + y = -8$

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\newline

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\newline

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