Question

rewrite the following equation in standard form.
( y = 4x - 8 )
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.

Explanation:

Step1: Recall standard form

The standard form of a linear equation is \( Ax + By = C \). We start with the given equation \( y = 4x - 8 \).

Step2: Rearrange terms

Subtract \( 4x \) from both sides of the equation to get the \( x \) and \( y \) terms on the left side. So, \( -4x + y = -8 \). We can also multiply both sides by -1 to make \( A \) positive (since usually \( A \) is non - negative in standard form), which gives \( 4x - y = 8 \). Here, \( A = 4 \), \( B=- 1 \), and \( C = 8 \), and the GCF of 4, - 1, and 8 is 1.

Answer:

\( 4x - y = 8 \)