How to find the points on a coordinate plane

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ISEE Lower Level Quantitative Reasoning › How to find the points on a coordinate plane

Questions 1 - 10
1

Which of the following corresponds to the point ?

11

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 unit to the left on the x-axis, then move units up on the y-axis.

2

Which of the following corresponds to the point ?

8

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 down on the y-axis.

3

Which of the following corresponds with the point ?

6

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 down on the y-axis.

4

Which coordinate point is farthest from the -axis?

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.

5

What coordinate point is the orange triangle on?

Screen shot 2015 07 29 at 3.26.44 pm

Explanation

To find the location on a coordinate plane we first look at the -axis, which runs horizontal and then the -axis, which runs vertical. We write the point on the -axis first, followed by the point on the -axis.

The orange triangle is over on the -axis and up on the -axis.

6

Which of the following corresponds to the point ?

9

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.

7

Which of the following points corresponds to ?

4

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 unit to the left on the x-axis, then move unit up on the y-axis.

8

Which of the following points corresponds to ?

2

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.

9

Which of the following points corresponds to ?

5

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.

10

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

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:
,

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