Question
Question
Question 19
Here is the slope formula: y=mx+b
Rearrange the formula to solve for m.
(1 point)
Responses
m=x−by
m is equal to the fraction with numerator x minus b and denominator y
m=y+bx
m is equal to the fraction with numerator y plus b and denominator x
m=y−bx
m is equal to the fraction with numerator y minus b and denominator x
m=yx−b
Question 19
Here is the slope formula: y=mx+b
Rearrange the formula to solve for m.
(1 point)
Responses
m=x−by
m is equal to the fraction with numerator x minus b and denominator y
m=y+bx
m is equal to the fraction with numerator y plus b and denominator x
m=y−bx
m is equal to the fraction with numerator y minus b and denominator x
m=yx−b
Answers
GPT-4o mini
To rearrange the formula \( y = mx + b \) to solve for \( m \), we need to isolate \( m \) on one side of the equation.
Starting with:
\[ y = mx + b \]
1. Subtract \( b \) from both sides:
\[ y - b = mx \]
2. Now, divide both sides by \( x \):
\[ \frac{y - b}{x} = m \]
Thus, the rearranged formula for \( m \) is:
\[ m = \frac{y - b}{x} \]
From the provided options, the correct response is:
**m = y − bx**
(Note: There seems to be an inconsistency in the answer choices as the correct answer from the rearrangement does not appear verbatim. The structure hints that the closest match needs a correction. The correct answer should look like \( m = \frac{y - b}{x} \).)
Starting with:
\[ y = mx + b \]
1. Subtract \( b \) from both sides:
\[ y - b = mx \]
2. Now, divide both sides by \( x \):
\[ \frac{y - b}{x} = m \]
Thus, the rearranged formula for \( m \) is:
\[ m = \frac{y - b}{x} \]
From the provided options, the correct response is:
**m = y − bx**
(Note: There seems to be an inconsistency in the answer choices as the correct answer from the rearrangement does not appear verbatim. The structure hints that the closest match needs a correction. The correct answer should look like \( m = \frac{y - b}{x} \).)