### Home > CC3 > Chapter 7 > Lesson 7.2.3 > Problem 7-65

When Yoshi graphed the lines *y*= 2*x*+ 3 and*y*= 2*x*− 2, she got the graph shown at right.*7-65 HW eTool*(Desmos). Homework Help ✎One of the lines at right matches the equation

*y*= 2*x*+ 3, and the other matches*y*= 2*x*− 2. Which line matches which equation?Yoshi wants to add the line

*y*= 2*x*+ 1 to her graph. Predict where it would lie and sketch a graph to show its position. Justify your prediction.Where would the line

*y*= −2*x*+ 1 lie? Again, justify your prediction and add the graph of this line to your graph.

Look at the *y*-intercepts, otherwise known as the *b* in *y = mx + b*, to decide which line goes with which equation.

line a: *y* = 2*x* − 2, line b: *y* = 2*x* + 3

The slope of the line in part (c) is the opposite of the slope of the line in part (b). The *y*-intercepts are the same.

Use the eTool below to graph the line by completing the table.

Click the link at right for the full version of the eTool: *CC3 7-65 HW eTool*