Question
VARIABLE EQUATIONS & INEQUALITIES UNIT TEST:
REARRANGE THE SLOPE FORMULA Y = MX + B FOR THE QUANTITY OF INTEREST M. MAKE SURE TO SHOW EACH STEP.
REARRANGE THE SLOPE FORMULA Y = MX + B FOR THE QUANTITY OF INTEREST M. MAKE SURE TO SHOW EACH STEP.
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GPT-4o mini
To rearrange the slope-intercept form of a linear equation, \(y = mx + b\), for \(m\), we follow these steps:
1. **Start with the equation**:
\[
y = mx + b
\]
2. **Isolate the term containing \(m\)**:
To do this, subtract \(b\) from both sides of the equation:
\[
y - b = mx
\]
3. **Solve for \(m\)**:
Now, to isolate \(m\), divide both sides by \(x\):
\[
m = \frac{y - b}{x}
\]
So, the rearranged formula for \(m\) is:
\[
m = \frac{y - b}{x}
\]
This is the form of the slope \(m\) in terms of \(y\), \(b\), and \(x\).
1. **Start with the equation**:
\[
y = mx + b
\]
2. **Isolate the term containing \(m\)**:
To do this, subtract \(b\) from both sides of the equation:
\[
y - b = mx
\]
3. **Solve for \(m\)**:
Now, to isolate \(m\), divide both sides by \(x\):
\[
m = \frac{y - b}{x}
\]
So, the rearranged formula for \(m\) is:
\[
m = \frac{y - b}{x}
\]
This is the form of the slope \(m\) in terms of \(y\), \(b\), and \(x\).
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