Chapter 5 - Linear Functions - 5-1 Rate of Change and Slope - Practice and Problem-Solving Exercises - Page 298: 50

It is the same line

Using the slope formula, we can find the slope for all the points. For line AB, it is change in y over x, so you subtract the y values and then divide by the difference in the x values. This yields, (3-2)/(1-4), or 1/-3. Doing the same for BC, we get (2-4)/(4-(-2)) which is -2/6, which simplifies to -1/3. These slopes are the same, so we can confirm they are on the same line.