Question

11.
Write y =1/8 x + 7 in standard form using integers.

Answer 1

To write the equation \( y = \frac{1}{8}x + 7 \) in standard form using integers, we should rearrange it into the form \( Ax + By = C \), where \( A \), \( B \), and \( C \) are integers.

Start with the given equation:

\[
y = \frac{1}{8}x + 7
\]

Multiply every term by 8 to eliminate the fraction:

\[
8y = x + 56
\]

Next, rearrange the equation to get \( x \) and \( y \) on the same side:

\[
-x + 8y = 56
\]

To convert it to standard form \( Ax + By = C \), we typically prefer \( A \) to be positive. So, we can multiply the entire equation by \(-1\):

\[
x - 8y = -56
\]

Therefore, the standard form of the equation is:

\[
x - 8y = -56
\]