Question

Rearrange the slope formula y=mx+b
for the quantity of interest m
. Make sure to show each step.

Answer 1

can you make it shorter

Answer 2

To rearrange the slope formula \( y = mx + b \) for the quantity of interest \( m \), we will isolate \( m \) on one side of the equation. Here are the steps:

1. **Start with the original equation**:
\[
y = mx + b
\]

2. **Subtract \( b \) from both sides to isolate the term with \( m \)**:
\[
y - b = mx
\]

3. **Now divide both sides by \( x \) to solve for \( m \)**:
\[
\frac{y - b}{x} = m
\]

4. **Finally, we can rewrite the equation to put \( m \) first**:
\[
m = \frac{y - b}{x}
\]

Thus, we have successfully rearranged the slope formula for \( m \):
\[
m = \frac{y - b}{x}
\]

Answer 3

Certainly! Here’s the rearrangement of the slope formula \( y = mx + b \) for \( m \) in a more concise manner:

1. Start with the equation:
\[
y = mx + b
\]

2. Subtract \( b \) from both sides:
\[
y - b = mx
\]

3. Divide both sides by \( x \):
\[
m = \frac{y - b}{x}
\]

And that's the rearranged formula for \( m \):
\[
m = \frac{y - b}{x}
\]