ACT Math : Graphing

Study concepts, example questions & explanations for ACT Math

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Example Questions

Example Question #31 : Graphing

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 #1 : 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 #1 : 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.

Example Question #31 : Graphing

What are the coordinates for point H?

Graph8

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 H.

Example Question #11 : How To Graph A Point

What are the coordinates for point J?

Graph9

Possible Answers:

Correct answer:

Explanation:

Since there is no movement on the x-axis, the x-coordinate is .

Go up the vertical y-axis until you reach the point. The y-coordinate is .

 are the coordinates of point J.

Example Question #36 : Graphing

What are the coordinates for point L?

Graph11

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 L.

Example Question #33 : Graphing

What are the coordinates for point M?

Graph12

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 M.

Example Question #11 : How To Graph A Point

What are the coordinates for point K?

Graph10

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 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 K.

Example Question #1 : How To Graph An Ordered Pair

In the standard xy coordinate plane, what quadrant(s) could point A lie in, if its x-coordinate and y-coordinate have opposite signs?

Possible Answers:

Quadrant III

Quadrants I and III

Quadrant II

Quadrants II and IV

Quadrants IV

Correct answer:

Quadrants II and IV

Explanation:

We know that right of the origin represents the positive x-direction, and above the origin represents the positive y-direction.  For Quadrant I, both the x-coordinate and y-coordinate must be positive, i.e. (+,+).  For quadrant II, the x-coordinate is negative, while the y-coordinate is positive, i.e. (+, -). For Quadrant III, both coordinates must be negative, i.e. (-, -).  For Quadrant IV, the x-coordinate is positive, and the y-coordinate is negative, i.e. (+, -).

Example Question #40 : Graphing

Which pair of coordinates lies within quadrant II?

Possible Answers:

Correct answer:

Explanation:

By definition, quadrant I has positive coordinates, quadrant II has  coordinates, quadrant III has negative coordinates, and quadrant IV has  coordinates, as shown by the diagram below. Only one answer choice falls within quadrant II. All others lie in other coordinates or one of the axes.

Quadrants

- Quadrant II

- Quadrant I

- x-axis

- y-axis

- Quadrant III

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