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Home > AC > Chapter 7 > Lesson 7.1.4 > Problem 7-37

7-37.

When Yoshi graphed the lines and , she got the graph shown at right. 2-32 HW eTool (Desmos). Homework Help ✎

  1. One of the lines at right matches the equation , and the other matches . Which line matches which equation?

    In the equation is the -intercept.
    Match the -value in each equation to the -intercept on the graph.

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

    The line has the same slope so it will be parallel to the other two lines.
    Again, use the -intercept to decide where the line will be on the graph.

    It would lie between the lines and because it has as the intercept.

graph

  1. Where would the line lie? Again, justify your prediction and add the graph of this line to your graph from part (b).

The negative slope tells you that the line will travel downward. Once again, use the slope to decide where to put the line.

Use the graph in the eTool below to solve the problem.
Click the link at right for the full version of the eTool: CCA 2-32 HW eTool