To rearrange the slope formula y = mx + b for the quantity of interest m, we need to isolate the variable m.
Step 1: Start with the given equation: y = mx + b
Step 2: Move the constant term b to the right side of the equation by subtracting b from both sides:
y - b = mx
Step 3: Now, since mx is equivalent to m * x, to isolate m, we divide both sides by x:
(y - b) / x = m
Step 4: The final rearranged equation, solving for m, is:
m = (y - b) / x
So, the slope formula rearranged for the quantity of interest m is:
m = (y - b) / x