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Video: Identifying Points with Given Coordinates on the Cartesian Plane

Tim Burnham

The figure shows the map of a zoo. Which animals are located at (2, 5)? [A] Monkeys [B] Giraffes [C] Tigers [D] Lions [E] Zebras.

01:30

Video Transcript

The figure shows a map of a zoo. What animals are located at two, five?

Well two, five is sometimes called the coordinates of the point or the ordered pair. And they represent the ๐‘ฅ-coordinate and the ๐‘ฆ-coordinate of a point on our Cartesian plane or on our graph. Well ๐‘ฅ comes first in the alphabet, so our first number two represents the ๐‘ฅ-coordinate. And ๐‘ฆ comes afterwards in the alphabet, so the second number represents the ๐‘ฆ-coordinate. Now in order to work out the point represented by this particular order-pair, weโ€™re gonna start off at zero zero and then weโ€™re gonna move this much in the ๐‘ฅ-direction and this much in the ๐‘ฆ-direction.

As you can see here on our graph, ๐‘ฅ represents the amount of travel in the left or right direction and ๐‘ฆ represents the amount of travel in the up or down direction. Now these are both positive numbers, so weโ€™re gonna be moving in the positive direction for ๐‘ฅ and in the positive direction for ๐‘ฆ. So letโ€™s start off at zero zero and move positive two in the ๐‘ฅ-direction, so thatโ€™s this direction here. And then positive five in the ๐‘ฆ-direction, so again add one, two, three, four, five places in the ๐‘ฆ-direction. That takes us to this point here which is tigers. So our answer is at two, five weโ€™ve got tigers in our zoo.