Pre-Algebra : Graphing

Study concepts, example questions & explanations for Pre-Algebra

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Example Questions

Example Question #3 : Graphing Points

The point  is on the graph of the line . Evaluate .

Possible Answers:

Correct answer:

Explanation:

Substitute  for  and 8 for , and solve for :

Example Question #1 : Graphing Points

Which of the following is not a point on the graph of the equation  ?

Possible Answers:

Correct answer:

Explanation:

For each of the five choices, substitute the coordinates for  and  in that order, and test the validity of the resulting equation. Below is the proof that  is on the graph:

:

This is true, so  is on the graph.

The points , and  can all be proved by the same procedure to be part of the graph. 

However, we can prove that  is not on the graph by the same procedure:

This is false, so  is proved to be not on the graph. This is the correct choice.

Example Question #2 : Graphing Points

The point  is on the graph of the line . Evaluate .

Possible Answers:

Correct answer:

Explanation:

Substitute 10 for  and  for , and then solve for :

Example Question #1 : Graphing Points

Which of the following points would be located in Quadrant III?

Possible Answers:

Correct answer:

Explanation:

By definition, a point on the coordinate plane that is in Quadrant III must have both a negative  coordinate and a negative  coordinate. The only answer choice that satisfies both of these conditions is .

Example Question #4 : Graphing Points

In which quadrant or on what axis will you find the point ?

Possible Answers:

Quadrant IV

Quadrant III

The -axis

Quadrant II

Quadrant I

Correct answer:

Quadrant II

Explanation:

The point  has a negative  coordinate and a positive  coordinate. By definition, any point on a coordinate plane with these characteristics is located in Quadrant II. 

Example Question #2 : Graphing Points

In which quadrant or on which axis will you find the point ?

Possible Answers:

Quadrant II

The -axis

The -axis

Quadrant III

Quadrant I

Correct answer:

The -axis

Explanation:

The point  does not move in any direction on the -axis, but does move  units up on the -axis. Therefore, the point is located only on the -axis.

Example Question #1 : Graphing Points

In which quadrant or on which axis will you find the point ?

Possible Answers:

Quadrant I

Quadrant III

Quadrant IV

Quadrant II

The -axis

Correct answer:

Quadrant III

Explanation:

By definition, a point with a negative -coordinate and a negative -coordinate lies in Quadrant III on the coordinate plane.

Example Question #1 : How To Find The Points On A Coordinate Plane

Which of the following points is in Quadrant II on the coordinate plane?

Possible Answers:

Correct answer:

Explanation:

All points in Quadrant II have negative -coordinates and positive -coordinates. The only answer that fulfills these criteria is 

Example Question #2 : How To Find The Points On A Coordinate Plane

In which quadrant or on which axis will we find the point ?

Possible Answers:

Quadrant I

Quadrant IV

The -axis

The -axis

Quadrant II

Correct answer:

The -axis

Explanation:

By definition, any point in the coordinate plane that has a non-zero value -coordinate and a zero-value -coordinate is on the -axis.

Example Question #11 : Graphing Points

In which quadrant or on which axis of the coordinate plane will you find the point  ?

Possible Answers:

Quadrant II

Quadrant I

Quadrant IV

The -axis

Quadrant III

Correct answer:

Quadrant IV

Explanation:

A point with a positive -coordinate and a negative -coordinate can be found in Quadrant IV.

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