Absolutely! Let's break it down step-by-step to solve for [tex]\( b \)[/tex] in the equation [tex]\( y = mx + b \)[/tex]:
1. Start with the given equation:
[tex]\[
y = mx + b
\][/tex]
2. We need to solve for [tex]\( b \)[/tex]. To isolate [tex]\( b \)[/tex], we need to move the term [tex]\( mx \)[/tex] to the other side of the equation. This can be done by subtracting [tex]\( mx \)[/tex] from both sides:
[tex]\[
y - mx = b
\][/tex]
Therefore, the equation solved for [tex]\( b \)[/tex] is:
[tex]\[
y - mx = b
\][/tex]
So, the correct option is:
\[
y - mx = b
\