All Pre-Algebra Resources
Example Questions
Example Question #3 : Graphing Points
The point is on the graph of the line . Evaluate .
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 ?
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 .
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?
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 ?
Quadrant IV
Quadrant III
The -axis
Quadrant II
Quadrant I
Quadrant II
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 ?
Quadrant II
The -axis
The -axis
Quadrant III
Quadrant I
The -axis
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 ?
Quadrant I
Quadrant III
Quadrant IV
Quadrant II
The -axis
Quadrant III
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?
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 ?
Quadrant I
Quadrant IV
The -axis
The -axis
Quadrant II
The -axis
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 ?
Quadrant II
Quadrant I
Quadrant IV
The -axis
Quadrant III
Quadrant IV
A point with a positive -coordinate and a negative -coordinate can be found in Quadrant IV.
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