Question
Rewrite “y = mx + b” using x as the quantity of interest using property of equality
Answers
GPT-4o mini
To rewrite the equation \( y = mx + b \) with \( x \) as the quantity of interest, we can isolate \( x \). Here are the steps:
1. Start with the original equation:
\[
y = mx + b
\]
2. Subtract \( b \) from both sides to isolate the term with \( x \):
\[
y - b = mx
\]
3. Divide both sides by \( m \) to solve for \( x \):
\[
x = \frac{y - b}{m}
\]
So, the equation rewritten to express \( x \) in terms of \( y \) is:
\[
x = \frac{y - b}{m}
\]
1. Start with the original equation:
\[
y = mx + b
\]
2. Subtract \( b \) from both sides to isolate the term with \( x \):
\[
y - b = mx
\]
3. Divide both sides by \( m \) to solve for \( x \):
\[
x = \frac{y - b}{m}
\]
So, the equation rewritten to express \( x \) in terms of \( y \) is:
\[
x = \frac{y - b}{m}
\]