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

Answer 1

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 \( m = \frac{y - b}{x} \).)