Question

Rearrange the formula y = mx b for m. responses a m = (y−b)x m = ( y - b ) x b m = (y b)x m = ( y b ) x c m = x(y−b) m = x ( y - b ) d m = (b−y)x m = ( b - y ) x

Answer 1

The formula y = mx + b can be rearranged to solve for m by subtracting b from both sides and then dividing by x, resulting in m = (y - b) / x.

Step-by-step explanation:

To rearrange the formula y = mx + b to solve for m, we must isolate m on one side of the equation. Here's how to do it step-by-step:

1. Subtract b from both sides to get y - b = mx.
2. Divide both sides by x to get m = (y - b) / x.

Therefore, the correct answer is m = (y - b) / x, which tells us that the slope of the line can be found by dividing the change in the vertical axis (y-value) by the change in the horizontal axis (x-value), also referred to as the rise over the run.

The y-intercept, represented by b, is the point where the line crosses the vertical axis, and it's an essential part of defining the line's shape along with the slope m.