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 formula y = mx + b for the quantity of interest m, we need to isolate m on one side of the equation.

Step 1: Start with the given equation:
y = mx + b

Step 2: Move b to the other side of the equation by subtracting b from both sides:
y - b = mx

Step 3: Rearrange the terms to have m isolated:
mx = y - b

Step 4: Divide both sides of the equation by x to solve for m:
m = (y - b) / x

Thus, the slope formula y = mx + b rearranged for the quantity of interest m is m = (y - b) / x.