To rearrange the slope-intercept form of a linear equation, which is given by \( y = mx + b \), to solve for \( m \), follow these steps:

Question

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

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

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

4. **Rearranging gives**:
\[
m = \frac{y - b}{x}
\]

Thus, the rearranged formula for \( m \) is:
\[
m = \frac{y - b}{x}
\]
make this like a 6th grader wrote it

Answer 1

Sure! Here's a simpler version that a 6th grader might write:

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To solve for \( m \) in the equation \( y = mx + b \), just follow these steps:

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

2. First, get rid of \( b \) by subtracting it from both sides. This helps us focus on \( m \): \[ y - b = mx \]

3. Next, we need to find \( m \). To do that, we will divide both sides by \( x \): \[ \frac{y - b}{x} = m \]

4. So now we can write it like this: \[ m = \frac{y - b}{x} \]

And that's it! The formula for \( m \) is: \[ m = \frac{y - b}{x} \]

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It helps to break it down into easy steps!