### Home > MC2 > Chapter 9 > Lesson 9.3.1 > Problem 9-79

Elyse, Paul and J'Marcus were looking at the graph below. Based on the graph, Elyse wrote the rule

*y*= 3*x*+ 22. Paul wrote the rule*y*= 22*x*+ 3. J'Marcus wrote the rule*y*= 22 + 3*x*. Homework Help ✎

Are the three equations equivalent, or are they different? Explain your conclusion.

Which equation (or equations) match the line on the graph?

**Justify**your answer.

Look at the different parts of each equation. Is 3*x* the same as 3? Is 22 the same as 22*x*?

Elyse and J'Marcus have the same equations because the terms can be switched around if they are related by addition.

*y* = 3*x* + 22 *y* = 22 + 3*x*

Paul's equation has a slope of 22, because 22 is the coefficient to *x*.

The equations that Elyse and J'Marcus wrote have a slope of only 3, so Paul's equation is different.

Find the slope of the line by picking two points on the line and making a slope triangle.

In the equations above, the slope is the coefficient of *x*.