VARIABLE EQUATIONS & INEQUALITIES UNIT TEST:

Question

REARRANGE THE SLOPE FORMULA Y = MX + B FOR THE QUANTITY OF INTEREST M. MAKE SURE TO SHOW EACH STEP.

Answer 1

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 \(x\).