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Rewrite the following equation in standard form. $\newline$ $y = 8x + 8$ $\newline$ 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 = 8x + 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 Isolation Operation: Start with the given equation. $\newline$ $y = 8x - 8$ $\newline$ Which operation should be used to isolate the constant, $-8$ ? $\newline$ In $y = 8x - 8$ , $-8$ is negative. $\newline$ The addition is used to isolate $-8$ .
Rewrite Equation Standard Form: Rewrite the equation in standard form. $\newline$ To get the equation in the form $Ax + By = C$ , we need to move the term with $x$ to the other side of the equation. $\newline$ $y = 8x - 8$ $\newline$ $y + 8 = 8x - 8 + 8$ $\newline$ $y + 8 = 8x$ $\newline$ Now, we need to move $y$ to the right side to get it in standard form. $\newline$ $-8x + y = -8$
Check Coefficients GCF: Check if the coefficients are integers and their greatest common factor (GCF) is $1$ . The coefficients are $-8$ and $1$ . Their GCF is $1$ .

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