# ISEE Lower Level Quantitative : How to find the points on a coordinate plane

## Example Questions

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

Which quadrant would (-3, -5) be in?

Possible Answers:

IV

II

III

I

Correct answer:

III

Explanation:

Two negative points will always be found in Quadrant III.

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

Which coordinate point is closest to the -axis?

Possible Answers:

Correct answer:

Explanation:

Although coordinate point   has the largest  value in comparison to the other answer choices--it is the closest point to the -axis becaues of the points  value.

Compare the absolute value of each of the coordinate points  values. Since, the absolute value of point  is the lowest, the point has the shortest distance to the -axis.

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

Select the point that has the shortest distance to the  axis.

Possible Answers:

Correct answer:

Explanation:

Since the -axis runs vertically, the point that has the  coordinate with the lowest absolute value will be closest to the -axis. Therefore, coordinate point  has the shortest distance to the -axis, because the point is only a distance of  away from the -axis. Every other coordinate point has an absolute distance of  or more.

### Example Question #161 : Geometry

Which coordinate point is farthest from the -axis?

Possible Answers:

Correct answer:

Explanation:

Compare the absolute value of each of the coordinate points  values. Since, the  value of point  has the greatest absolute value, this point has the farthest distance to the horizontal -axis.

### Example Question #5 : How To Find The Points On A Coordinate Plane

Find the equation of the line that passes through coordinate point .

Possible Answers:

Correct answer:

Explanation:

To find the equation of the line that passes through coordinate point , plug the  and  values into each equation. The correct equation will end with a true statement.

The solution is:

### Example Question #6 : How To Find The Points On A Coordinate Plane

Select the coordinate point with the farthest distance from the -axis.

Possible Answers:

Correct answer:

Explanation:

Since the -axis runs vertically, the point that has the  coordinate with the greatest absolute value will be farthest from the -axis. Therefore, coordinate point  has the longest distance to the -axis, because the point is a distance of  away from the -axis. Every other coordinate point has an absolute distance of  or less.

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

The coordinate point   is on the line represented by which of these linear expressions?

Possible Answers:

Correct answer:

Explanation:

To find the equation of the line that passes through coordinate point , plug the  and  values into each equation. The correct equation will end with a true statement.

The solution is:
,

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

Which of the following points corresponds to ?

Possible Answers:

Correct answer:

Explanation:

Recall that in a coordinate , the first number corresponds to how to move on the horizontal x-axis, and the second number corresponds to how to move on the veritcal y-axis.

Every time you see a positive number in the x-coordinate, you will move to the right. Every time you see a negative number in the x-coordinate, you will move to the left.

When you see a positive number in the y-coordinate, you will move up. When you see a negative number in the y-coordinate, you will move down.

To get to the point , move  units to the right on the x-axis, then move  units up on the y-axis.

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

Which of the following points corresponds to ?

Possible Answers:

Correct answer:

Explanation:

Recall that in a coordinate , the first number corresponds to how to move on the horizontal x-axis, and the second number corresponds to how to move on the veritcal y-axis.

Every time you see a positive number in the x-coordinate, you will move to the right. Every time you see a negative number in the x-coordinate, you will move to the left.

When you see a positive number in the y-coordinate, you will move up. When you see a negative number in the y-coordinate, you will move down.

To get to the point , move  units to the left on the x-axis, then move  units up on the y-axis.

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

Which of the following points corresponds to ?

Possible Answers:

Correct answer:

Explanation:

Recall that in a coordinate , the first number corresponds to how to move on the horizontal x-axis, and the second number corresponds to how to move on the veritcal y-axis.

Every time you see a positive number in the x-coordinate, you will move to the right. Every time you see a negative number in the x-coordinate, you will move to the left.

When you see a positive number in the y-coordinate, you will move up. When you see a negative number in the y-coordinate, you will move down.

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