2. List the three steps you should follow to write an equation in the form y = mx + b.

A Compare the change in y with the change in x

B Find the equation for the line

C Find the starting value

to find the slope

1 answer

To write an equation in the form \( y = mx + b \), you can follow these three steps:

  1. A: Compare the change in y with the change in x - Determine the slope (m) by calculating how much y changes for a given change in x. This is known as finding the rate of change or slope.

  2. C: Find the starting value - Identify the value of y when x is 0. This value is represented by b in the equation \( y = mx + b \).

  3. B: Find the equation for the line - Using the slope (m) and the y-intercept (b), write the equation in the form \( y = mx + b \).

By following these steps, you'll be able to construct the linear equation effectively.