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In Math / Junior High School | 2025-08-19

Mei graphed the locations of several places in her town on the coordinate plane shown below.
A coordinate grid is labeled from negative 10 to 10 from the origin in both the x and y axis. A solid point labeled Courthouse is 5 units to the left of and 6 units up from the origin. A solid point labeled Library is 5 units to the left of and 3 units down from the origin. A solid point labeled Home is at the origin. A solid point labeled Bank is 6 units down from the origin. A solid point labeled Grocery Store is 5 units to the right of and 6 units up from the origin. A solid point labeled Hospital is 6 units to the right of and 8 units down from the origin. A solid point labeled School is 7 units to the right of the origin.
\[\small{1}\]
\[\small{2}\]
\[\small{3}\]
\[\small{4}\]
\[\small{5}\]
\[\small{6}\]
\[\small{7}\]
\[\small{8}\]
\[\small{9}\]
\[\small{\llap{-}2}\]
\[\small{\llap{-}3}\]
\[\small{\llap{-}4}\]
\[\small{\llap{-}5}\]
\[\small{\llap{-}6}\]
\[\small{\llap{-}7}\]
\[\small{\llap{-}8}\]
\[\small{\llap{-}9}\]
\[\small{1}\]
\[\small{2}\]
\[\small{3}\]
\[\small{4}\]
\[\small{5}\]
\[\small{6}\]
\[\small{7}\]
\[\small{8}\]
\[\small{9}\]
\[\small{\llap{-}2}\]
\[\small{\llap{-}3}\]
\[\small{\llap{-}4}\]
\[\small{\llap{-}5}\]
\[\small{\llap{-}6}\]
\[\small{\llap{-}7}\]
\[\small{\llap{-}8}\]
\[\small{\llap{-}9}\]
\[y\]
\[x\]
\[{\text{Home}}\]
\[{\text{Library}}\]
\[{\text{School}}\]
\[{\text{Courthouse}}\]
\[{\text{Bank}}\]
\[{\text{Hospital}}\]
\[{\text{Grocery Store}}\]
Which location has an
\[x\]-coordinate of
\[6\]?
Choose 1 answer:
Choose 1 answer:
(Choice A) Courthouse
A
Courthouse
(Choice B) School
B
School
(Choice C) Hospital
C
Hospital
(Choice D) Grocery Store
D
Grocery Store

Asked by kendraburns

Answer (1)

Let’s check each point:Courthouse: (-5, 6) → x = -5.Library: (-5, -3) → x = -5.Home: (0, 0).Bank: (0, -6).Grocery Store: (5, 6).Hospital: (6, -8).School: (7, 0).Only Hospital has an x-coordinate of 6.The x-coordinate refers to the horizontal distance from the origin. If it is 6, the point is 6 units to the right of the origin. The y-coordinate then tells us how far up or down. In this case, Hospital is (6, -8), meaning 6 units right and 8 units down. This method is useful in graphing real-world locations using coordinate planes.

Answered by Sefton | 2025-08-23