PSAT Math : How to graph an ordered pair

Study concepts, example questions & explanations for PSAT Math

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Example Questions

Example Question #1 : How To Graph An Ordered Pair

Which of the following coordinate pairs is farthest from the origin?

Possible Answers:

\(\displaystyle (-1, 8)\)

\(\displaystyle (2, 5)\)

\(\displaystyle (0, 7)\)

\(\displaystyle (3, 4)\)

\(\displaystyle (1, 6)\)

Correct answer:

\(\displaystyle (-1, 8)\)

Explanation:

Using the distance formula, calculate the distance from each of these points to the origin, (0, 0). While each answer choice has coordinates that add up to seven, (-1, 8) is the coordinate pair that produces the largest distance, namely \(\displaystyle \sqrt{65}\), or approximately 8.06.

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