Question
The equation of a line is given by y = mx + b . Solve for x in terms of y .(1 point) Responses x=ym−b x is equal to y over m minus b x=y−bm x is equal to the fraction with numerator y minus b and denominator m x=y+bm x is equal to the fraction with numerator y plus b and denominator m x=ym+b
Answers
GPT-4o mini
To solve for \( x \) in terms of \( y \) from the equation of the line \( y = mx + b \), we can rearrange the equation.
1. Start with the original equation:
\[
y = mx + b
\]
2. Subtract \( b \) from both sides:
\[
y - b = mx
\]
3. Now divide both sides by \( m \):
\[
x = \frac{y - b}{m}
\]
So the correct response is:
**x is equal to the fraction with numerator \( y - b \) and denominator \( m \)** (or \( x = \frac{y - b}{m} \)).
1. Start with the original equation:
\[
y = mx + b
\]
2. Subtract \( b \) from both sides:
\[
y - b = mx
\]
3. Now divide both sides by \( m \):
\[
x = \frac{y - b}{m}
\]
So the correct response is:
**x is equal to the fraction with numerator \( y - b \) and denominator \( m \)** (or \( x = \frac{y - b}{m} \)).