# Algebra 1 : Functions and Lines

## Example Questions

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### Example Question #1 : Functions And Lines

The points  and  are plotted on a quadrant. Which graph depicts the correct points?

Explanation:

A quadrant is set up in such a way that the positive numbers are to the right and top, while the negative numbers are to the left and bottom. The x-value (the first number in the ordered pair) is the distance left or right from the center. The y-value (the second number in the ordered pair) is the distance above or below the axis.

will be units to the right, and units up.

will be units to the left, and units up.

### Example Question #2 : Functions And Lines

Which of the followiing quadrants would contain the point  ?

None of the other answers is correct.

None of the other answers is correct.

Explanation:

has 0 as its -cordinate and is therefore on the -axis, which is not part of any of the four quadrants.

### Example Question #3 : Functions And Lines

Which of the following points would be in Quadrant III on the coordinate plane?

None of the points listed would be in Quadrant III.

Explanation:

Quadrant III comprises the points whose - and - coordinates are both negative. This makes  the correct choice.

### Example Question #4 : Functions And Lines

Which of the following quadrants would contain the point  ?

None of the other answers is correct.

None of the other answers is correct.

Explanation:

has 0 as its -coordinate and is therefore on the -axis, which is not part of any of the four quadrants.

### Example Question #1 : How To Graph An Ordered Pair

Which of the following ordered pairs is in the third quadrant?

Explanation:

The third quadrant is the lower left quadrant, where both the  and  values are negative.  The point  is the only point that is in this quadrant.

### Example Question #6 : Functions And Lines

Which of the following points is in Quadrant IV on the coordinate plane?

Two of these points are in Quadrant IV.

Explanation:

Quadrant IV consists of the points with positive -coordinates and negative -coordinates. Therefore is the correct choice.

### Example Question #7 : Functions And Lines

Find the point that corresponds to the following ordered pair:

Explanation:

In order to get to the point , start at the origin and move right  units and down  units.

This is point .

### Example Question #8 : Functions And Lines

Find the point that corresponds to the following ordered pair:

Explanation:

In order to get to the point , start at the origin and move right  unit and up  units.

This is point .

### Example Question #9 : Functions And Lines

Find the point that corresponds to the following ordered pair:

Explanation:

In order to get to the point , start at the origin and move left  unit and down  unit.

This is point .

### Example Question #10 : Functions And Lines

Find the point that corresponds to the following ordered pair: