To solve the equation [tex]\( y = mx + b \)[/tex] for [tex]\( b \)[/tex], we'll follow these steps:
1. Start with the original equation:
[tex]\[
y = mx + b
\][/tex]
2. We want to isolate [tex]\( b \)[/tex] on one side of the equation. To do this, subtract [tex]\( mx \)[/tex] from both sides of the equation:
[tex]\[
y - mx = b
\][/tex]
3. Now, we have the equation solved for [tex]\( b \)[/tex]:
[tex]\[
b = y - mx
\][/tex]
Therefore, the correct solution for [tex]\( b \)[/tex] is:
[tex]\[
y - mx = b
\][/tex]
Among the given options, the second one correctly represents the equation solved for [tex]\( b \)[/tex]:
[tex]\[
y - mx = b
\][/tex]
So, the correct answer is:
[tex]\[
y - mx = b
\][/tex]
