The equation [tex]$y = mx + b$[/tex] is the slope-intercept form of the equation of a line.

What is the equation solved for [tex][tex]$b$[/tex][/tex]?

A. [tex]y - m = b[/tex]
B. [tex]y - mx = b[/tex]
C. [tex]\frac{y}{mx} = b[/tex]
D. [tex]\frac{y}{m} - x = b[/tex]



Answer :

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
\