ACT Math : How to graph a point

Study concepts, example questions & explanations for ACT Math

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Example Questions

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Example Question #842 : Act Math

How would you plot the point ?

Possible Answers:

From the origin, go right  units, and up  units

From the origin, go up  units, and right  units

From the origin, go right  units, and down  units

From the origin, go left  units, and up  units

Correct answer:

From the origin, go right  units, and up  units

Explanation:

For the ordered pair 

The first number is for the x-axis, so because it is positive you go right .

The second number is for the y-axis, so because it is positive you go up .

Example Question #211 : Algebra

How would you plot the point ?

Possible Answers:

From the origin, go right  units, and down  units

 

From the origin, go left  units, and up  units

 

From the origin, go right  units, and up  units

 

From the origin, go left  units, and down  units

 

Correct answer:

From the origin, go left  units, and up  units

 

Explanation:

For the ordered pair  we would do the following.

The first number is for the x-axis, so because it is negative you go left  units.

The second number is for the y-axis, so because it is positive you go up  units.

Example Question #22 : Graphing

In which Quadrant is the point  located?

Possible Answers:

Quadrant III

Quadrant II

Quadrant IV

Quadrant I

Correct answer:

Quadrant III

Explanation:

To find out which quadrant a point lives in, we need to remember the qualities of each quadrant. By qualities, I mean the signs associated with the x and y values which are dependent on the quadrant the point resides in.

All coordinate pairs that are in Quadrant I will have a positive x value and a positive y value.

All coordinate pairs that are in Quadrant II will have a negative x value and a positive y value.

All coordinate pairs that are in Quadrant III will have a negative x value and a negative y value.

All coordinate pairs that are in Quadrant IV will have a positive x value and a negative y value.

For the point  we see that both the x and y values are negative therefore, the point lies in the third quadrant. We can also check this by starting from the origin and going left 3 units and down 3 units. This will end up in the lower-left section of the coordinate-plane, which is Quadrant III.

Example Question #1 : How To Graph A Point

What are the coordinates of point B?

Graph1

Possible Answers:

Correct answer:

Explanation:

Find the x-coordinate by going right on the horizontal x-axis until you come across the line that is directly under the point. The x-coordinate is .

Now, continue up until you reach the point and look across to the vertical y-axis. The y-coordinate is .

 is then the coordinate of the point.

Example Question #24 : Graphing

What are the coordinates for point A?

Graph2

Possible Answers:

Correct answer:

Explanation:

Find the x-coordinate by going right on the horizontal x-axis until you come across the line that is directly under the point. The x-coordinate is .

Now, continue up until you reach the point and look across to the vertical y-axis. The y-coordinate is .

 are the coordinates for point A.

Example Question #25 : Graphing

What are the coordinates for point C?

Graph3

Possible Answers:

Correct answer:

Explanation:

Find the x-coordinate by going left on the horizontal x-axis until you come across the line that is directly above the point. The x-coordinate is .

Now, continue down until you reach the point and look across to the vertical y-axis. The y-coordinate is .

 are the coordinates for point C.

Example Question #26 : Graphing

What are the coordinates for point D?

Graph4

Possible Answers:

Correct answer:

Explanation:

Find the x-coordinate by going left on the horizontal x-axis until you come across the line that is directly under the point. The x-coordinate is .

Now, continue up until you reach the point and look across to the vertical y-axis. The y-coordinate is .

 are the coordinates for point D.

Example Question #2 : How To Graph A Point

What are the coordinates for point E?

Graph5

Possible Answers:

Correct answer:

Explanation:

Find the x-coordinate by going right on the horizontal x-axis until you come across the line that is directly above the point. The x-coordinate is .

Now, continue down until you reach the point and look across to the vertical y-axis. The y-coordinate is .

 are the coordinates for point E.

Example Question #2 : How To Graph A Point

What are the coordinates for point F?

Graph6

Possible Answers:

Correct answer:

Explanation:

Find the x-coordinate by going left on the horizontal x-axis until you come across the line that is directly above the point. The x-coordinate is .

Now, continue down until you reach the point and look across to the vertical y-axis. The y-coordinate is .

 are the coordinates for point F.

Example Question #9 : How To Graph A Point

What are the coordinates for point G?

Graph7

Possible Answers:

Correct answer:

Explanation:

Find the x-coordinate by going right on the horizontal x-axis until you come across the line that is directly under the point. The x-coordinate is .

Now, continue up until you reach the point and look across to the vertical y-axis. The y-coordinate is .

 are the coordinates for point G.

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