Question

Which of the following statements about the coordinate plane are true?

Answer 1

Answer:

The correct statements are:

1. The first number in an ordered pair is the x-coordinate.  

2. The second number in an ordered pair is the y-coordinate.  

3. The graph of a linear equation is usually a line.  

5. Ordered pairs are graphed as points in the coordinate plane.

Step-by-step explanation:

We know that any point or the ordered pair in the coordinate plane is represented by:

                        (x,y)

i.e. the first number in the ordered pair is the x-coordinate and the second number in the ordered pair is y-coordinate.

1)

The first number in an ordered pair is the x-coordinate.

This statement is correct.

2)

The second number in an ordered pair is the y-coordinate.

This statement is also correct.

3)

The graph of a linear equation is usually a line.

This is a correct statement since graph of a linear function is always a line i..e it has constant slope.

4)

Any set of ordered pairs is called a function.

This statement is incorrect.

( Since {(4,5) , (4,6), (5,1)} is never a function because there are two images of 4 which neglects the definition of function.

Since in a function there is a unique image of an object )

5)

Ordered pairs are graphed as points in the coordinate plane.

This statement is correct.

Since the ordered pair are nothing but points.

Answer 2

These statements are true:
1. The first number in an ordered pair is the x-coordinate. 
2. The second number in an ordered pair is the y-coordinate. 
3. The graph of a linear equation is usually a line. 
5. Ordered pairs are graphed as points in the coordinate plane.