Question

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

Answer 1

To convert the equation \( y = \frac{1}{8}x + 7 \) to standard form using integers, we want to eliminate the fraction and rearrange the equation into the form \( Ax + By = C \), where \( A \), \( B \), and \( C \) are integers.

1. Start with the original equation:
\[
y = \frac{1}{8}x + 7
\]

2. Multiply every term by 8 to eliminate the fraction:
\[
8y = x + 56
\]

3. Rearrange the equation to standard form by moving \( x \) to the left side:
\[
-x + 8y = 56
\]

4. To make the coefficient of \( x \) positive, we can multiply the entire equation by -1:
\[
x - 8y = -56
\]

Now the equation \( x - 8y = -56 \) is in standard form with integers.

Thus, the final answer is:
\[
x - 8y = -56
\]