Lilygrimm06idn
Answered

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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]

Sagot :

GinnyAnsweridn
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]
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