To convert the given equation [tex]\( y = x + 5 \)[/tex] into Standard Form, we need to express it in the form [tex]\( Ax + By = C \)[/tex], where [tex]\( A \)[/tex], [tex]\( B \)[/tex], and [tex]\( C \)[/tex] are integers, and [tex]\( A \)[/tex] should be a non-negative integer.
1. Start with the given equation:
[tex]\[
y = x + 5
\][/tex]
2. Subtract [tex]\( x \)[/tex] from both sides to move [tex]\( x \)[/tex] to the left side of the equation:
[tex]\[
y - x = 5
\][/tex]
3. For the standard form, we generally prefer the [tex]\( x \)[/tex]-term to come first and to have a positive coefficient. If needed, we multiply the entire equation by -1 to achieve this. In this case:
[tex]\[
-x + y = -5
\][/tex]
4. Rearrange the terms to achieve the Standard Form [tex]\( Ax + By = C \)[/tex]:
[tex]\[
x - y = -5
\][/tex]
Thus, the equation in Standard Form is:
[tex]\[
\boxed{x-y=-5}
\][/tex]
