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 gradr wrote it

Answer 1

To rearrange the equation \( y = mx + b \) so we can find \( m \), follow these easy steps:

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

2. Get rid of \( b \) by subtracting it from both sides. This helps us to move it away from \( m \): \[ y - b = mx \]

3. Now, let's find \( m \) by dividing both sides by \( x \). This will leave \( m \) by itself: \[ \frac{y - b}{x} = m \]

4. So, when we rearrange it, we get: \[ m = \frac{y - b}{x} \]

And that means you can find \( m \) using this formula: \[ m = \frac{y - b}{x} \]

It's like a special recipe for finding the slope when you have \( y \), \( b \), and \( x \)!