Cynthia graphs a sequence of points. The first point has coordinates (−3,0), the second point has coordinates (−2,2), and the third point has coordinates (−1,4). Each point after the first is 1 unit to the right and 2 units above the previous point. What is the fourth point that Cynthia graphs?
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Solution
The fourth point is 1 unit to the right of (−1,4) and so its x-coordinate is 1 unit greater than −1, which is −1+1=0. The fourth point is 2 units above (−1,4) and so its y-coordinate is 2 units greater than 4, which is 4+2=6. The fourth point that Cynthia graphs is (0,6).
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