To solve the equation [tex]\( y = mx + b \)[/tex] for [tex]\( b \)[/tex], follow these steps:
1. Start with the given equation in slope-intercept form:
[tex]\[
y = mx + b
\][/tex]
2. To isolate [tex]\( b \)[/tex], you need to move the term [tex]\( mx \)[/tex] to the other side of the equation. To do this, subtract [tex]\( mx \)[/tex] from both sides of the equation:
[tex]\[
y - mx = b
\][/tex]
3. Now the equation is solved for [tex]\( b \)[/tex]:
[tex]\[
y - mx = b
\][/tex]
So, the correct equation solved for [tex]\( b \)[/tex] is:
[tex]\[
y - mx = b
\][/tex]
The correct answer from the given options is:
[tex]\( y - mx = b \)[/tex]
