Question
To rearrange the slope-intercept form of a linear equation, which is given by \( y = mx + b \), to solve for \( m \), follow these steps:
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
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
Answers
GPT-4o mini
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 \( x \)!
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 \( x \)!