SAT Math : How to graph an ordered pair

Study concepts, example questions & explanations for SAT Math

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Example Questions

Example Question #12 : Graphing

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

Possible Answers:

\displaystyle (0, 7)

\displaystyle (1, 6)

\displaystyle (2, 5)

\displaystyle (-1, 8)

\displaystyle (3, 4)

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.

Example Question #12 : Graphing

On the coordinate plane, the point with coordinates \displaystyle \left ( -5 \frac{1}{4},\ 6\frac{4}{7}\right ) is located in __________.

Possible Answers:

Quadrant III

Quadrant IV

Quadrant I

None of these

Quadrant II

Correct answer:

Quadrant II

Explanation:

On the coordinate plane, a point with a negative \displaystyle x-coordinate and a positive \displaystyle y-coordinate lies in the upper left quadrant—Quadrant II.

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