Pre-Algebra : Graphing Points

Study concepts, example questions & explanations for Pre-Algebra

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Example Questions

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

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

Possible Answers:

The -axis

Quadrant I

Quadrant II

Quadrant IV

The -axis

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

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

Possible Answers:

Quadrant IV

Quadrant II

Quadrant I

Quadrant III

The -axis

Correct answer:

Quadrant IV

Explanation:

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

Example Question #31 : Graphing

Write the ordered pair of points a, b, and c.

Coordinate plane

Possible Answers:

Correct answer:

Explanation:

An ordered is always written in the following format:

where x is the position on the x-axis, and y is the position on the y-axis.

Coordinate plane

If we look at point a, we find where it falls on the x-axis.  We can see that it's position on the x-axis is 1.  Then, we see where it falls on the y-axis. It's position on the y-axis is 4.  So, we can write the ordered pair for point a as

We will do the same for b.  The position of point b on the x-axis is -5.  The position of point b on the y-axis is 2.  So, we can write the ordered pair for point b as

And finally for c.  The position of point c on the x-axis is zero.  The position of point c on the y-axis is -5.  So, we can write the ordered pair of point c as

Example Question #11 : Graphing Points

Which of the following points is found in the second quadrant of a coordinate plane?

Possible Answers:

Correct answer:

Explanation:

The following coordinate plane displays the different quandrants.

 Quadrants

You can also see there is a point that has been graphed.  

That point is (-3, 4).  

Therefore, (-3, 4) can be found in the second quandrant of a coordinate plane.

Example Question #13 : Graphing Points

Find the midpoint of the following points:

(-5, 6) and (1, 2)

Possible Answers:

Correct answer:

Explanation:

The midpoint formula is

where  and  are the points given.  So, using the points

(-5, 6) and (1, 2) we can substitute into the midpoint formula and get

Therefore, the midpoint is (-2, 4).

Example Question #32 : Graphing

Which quadrant does the coordinates  belong to?

 

Possible Answers:

Correct answer:

Explanation:

When looking at a coordinate plane, draw the letter C in there making sure you connect all four quarters of the grid. The C should start in the top right corner, move to the top left, then bottom left, then finish in the bottom right corner.

The quadrants start with  and finish with .

Therefore the coordinates  means  to the right and  down which would place the coordinates in quadrant 4.

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