ACT Math : Graphing

Study concepts, example questions & explanations for ACT Math

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Example Questions

Example Question #1 : How To Graph An Ordered Pair

Which point best represents the coordinate ?

Picture10

Possible Answers:

C

A

D

B

Correct answer:

C

Explanation:

To get to , move left on the x-axis by , then down on the y-axis by .

The sign in front of each number represents which direction to go on the x or y-axis starting at the origin . If the number is positive you go right on the x-axis or up on the y-axis. If the sign is negative then you move to the left on the x-axis or down on the y-axis. The first term in the ordered pair is the movement in the x direction and the second point is the movement in the y direction.

Example Question #1 : Graphing

Which point best represents the coordinate ?

Picture6

Possible Answers:

C

A

B

D

Correct answer:

B

Explanation:

The sign in front of each number represents which direction to go on the x or y-axis starting at the origin . If the number is positive you go right on the x-axis or up on the y-axis. If the sign is negative then you move to the left on the x-axis or down on the y-axis. The first term in the ordered pair is the movement in the x direction and the second point is the movement in the y direction.

To get to , only move right on the x-axis by .

Example Question #241 : Coordinate Plane

Which point best represents the coordinate ?

Picture11

Possible Answers:

D

C

A

B

Correct answer:

C

Explanation:

To get to , move right along the x-axis by , then up along the y-axis by .

The sign in front of each number represents which direction to go on the x or y-axis starting at the origin . If the number is positive you go right on the x-axis or up on the y-axis. If the sign is negative then you move to the left on the x-axis or down on the y-axis. The first term in the ordered pair is the movement in the x direction and the second point is the movement in the y direction.

Example Question #242 : Coordinate Plane

Which point best represents the coordinate ?

Picture12

Possible Answers:

A

C

B

D

Correct answer:

B

Explanation:

The sign in front of each number represents which direction to go on the x or y-axis starting at the origin . If the number is positive you go right on the x-axis or up on the y-axis. If the sign is negative then you move to the left on the x-axis or down on the y-axis. The first term in the ordered pair is the movement in the x direction and the second point is the movement in the y direction.

To get to , move along the x-axis by , then move up along the y-axis by .

Example Question #241 : Coordinate Plane

What is the following ordered pair?

Ordered_pair

Possible Answers:

Correct answer:

Explanation:

In order to find the values of a graphed ordered pair, you first need to the count across the x-axis (horizontal) and then across the y-axis (vertical). The middle of the x-axis and y-axis is called the origin and represents (0,0). Any movement to the left or below the origin is negative. Any movement to the right or above the origin is positive. Therefore, the coordinate for the graphed ordered pair would be two across the x-axis in the positive direction and three across the y-axis in the positive direction, or .

Example Question #11 : How To Graph An Ordered Pair

Coordinate_pair_1

What are the coordinates of Point A, and in which quadrant is it located?

Possible Answers:

, Quadrant IV

, Quadrant II

, Quadrant IV

, Quadrant II

Correct answer:

, Quadrant IV

Explanation:

Coordinate points are given x-coordinate first, y-coordinate second.  Quadrants are numbered counter-clockwise, with Quadrant I consisting of positive x-coordinates and positive y-coordinates, Quadrant II consisting of negative x-coordinates and positive y-coordinates, Quadrant III consisting of negative x-coordinates and negative y-coordinates, and Quadrant IV consisting of positive x-coordinates and negative y-coordinates.

(3, -2), Quadrant IV is correct because it lists the coordinates in the correct order and correctly identifies the Quadrant.

(3, -2), Quadrant II is incorrect because, while it lists the coordinates in the correct order, it misidentifies the Quadrant.

(-2, 3), Quadrant IV is incorrect because, while it correctly identifies the Quadrant, it lists the coordinates in the incorrect order.

(-2, 3), Quadrant II is incorrect because it both lists the coordinates in the incorrect order and misidentifies the Quadrant.

Example Question #11 : How To Graph An Ordered Pair

Which graph correctly represents the position of the point at ?

Possible Answers:

Coordinate_pair_5

Coordinate_pair_4

Coordinate_pair_2

Coordinate_pair_3

Correct answer:

Coordinate_pair_3

Explanation:

Coordinate points are given x-coordinate first, y-coordinate second.  The correct representation plots the point one unit to the left of the origin on the x-axis and four units up from the origin on the y-axis.

Example Question #244 : Coordinate Plane

Coordinate_pair_6

Which of the following correctly identifies Points A and B, in that order, on the line?

Possible Answers:

Correct answer:

Explanation:

Coordinate points are given x-coordinate first, y-coordinate second.

(-2, 1), (2, 4) is correct because it list the coordinates of each point in the correct order.

(1, -2), (4, 2) is incorrect because it lists the coordinates of each point in the incorrect order.

(2, 4), (-2, 1) is incorrect because, while it lists the coordinates of each point correctly, it misidentifies the points.

(4, 2), (1, -2) is incorrect because it both lists the coordinates of each point in the incorrect order and misidentifies the points.

Example Question #1 : How To Graph A Line

What is the distance between (7, 13) and (1, 5)?

 

Possible Answers:

None of the answers are correct

5

12

10

7

Correct answer:

10

Explanation:

The distance formula is given by d = square root [(x2 – x1)2 + (y2 – y1)2].  Let point 2 be (7,13) and point 1 be (1,5).  Substitute the values and solve.

Example Question #251 : Coordinate Plane

What is the slope of this line?Screen_shot_2013-07-13_at_5.10.26_pm

Possible Answers:

Correct answer:

Explanation:

The slope is found using the formula .

We know that the line contains the points (3,0) and (0,6). Using these points in the above equation allows us to calculate the slope.

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