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

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

    1. One of the lines at right matches the equation y = 2x + 3, and the other matches y = 2x − 2. Which line matches which equation?

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

    3. Where would the line y = −2x + 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 = 2x − 2, line b: y = 2x + 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