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]$b$[/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 :

To isolate [tex]\( b \)[/tex] in the equation [tex]\( y = mx + b \)[/tex], follow these steps:

1. Start with the given equation:

[tex]\[ y = mx + b \][/tex]

2. To isolate [tex]\( b \)[/tex], subtract [tex]\( mx \)[/tex] from both sides:

[tex]\[ y - mx = b \][/tex]

Thus, the equation solved for [tex]\( b \)[/tex] is:

[tex]\[ y - mx = b \][/tex]

The correct option is:

[tex]\[ y - mx = b \][/tex]