1. Using the graph provided, answer the following questions.

At what coordinates does the line GJ intersect the y-axis? In the portion of the graph shown here, we can see that GJ intersect the y-axis at (0, 70).
What are the coordinates of the intersection of lines GJ and HK? Here we can see that the lines GJ and HK intersect at are the coordinates (15, 40).
At a y value of 60, what is the x value for line GJ? In the portion of the graph shown here, we can see that at a y value of 60, the x value for line GJ is 5.
At point K, what is the y-coordinate? Here we can see that at point K, the y-coordinate is just above 80. You may have answered 80, 81, or 82.

1. How is the point of intersection affected by this shift (how do the coordinates of the intersection change)?

   The initial point of intersection between lines P and Q is at point A. After line P shifts from P1 to P2, the new point of intersection is point B. To determine how this shift affects the intersection, you should look at what happens to the values for the x and y coordinates.

   • First, look at the change in the x-coordinate (figure 1). The x-coordinate shifts from xA to xB. The value of xB is larger than xA, therefore the x-coordinate increases.
   • Second, look at the change in the y-coordinate (figure 2). The y-coordinate shifts from yA to yB. The value of yB is larger than yA, therefore the y-coordinate increases.
   

If you had any problems with these questions, please review this unit, and then do the additional practice before moving on to the next unit.

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