Answer/Discussion to 1a

A(3, 1), B(-2, -1/2), C(2, -2), and D(0,1)

A(3, 1)  lies in quadrant I.

B(-2, -1/2)  lies in quadrant III.

C(2, -2)  lies in quadrant IV.

D(0, 1)  lies on the y axis.

(return to problem 1a)

Answer/Discussion to 2a

Since point A corresponds to 4 on the x-axis and 2 on the y-axis, then A's ordered pair is (4, 2).

Since point B corresponds to 0 on the x-axis and 4 on the y-axis, then B's ordered pair is (0, 4).

Since point C corresponds to -2 on the x-axis and 2 on the y-axis, then C's ordered pair is (-2, 2).

Since point D corresponds to - 4 on the x-axis and 0 on the y-axis, then D's ordered pair is (- 4, 0).

Since point E corresponds to -2 on the x-axis and -3 on the y-axis, then E's ordered pair is (-2, -3).

Since point F corresponds to 3 on the x-axis and -3 on the y-axis, then F's ordered pair is (3, -3).

(return to problem 2a)

Answer/Discussion to 3a

 y = 4x - 10     (0, -10), (1, -14), (-1, -14)

Which number is the x value and which one is the y value?  If you said x = 0 and y = -10, you are correct! 

Let's plug (0, -10) into the equation and see what we get:

Now, let's take a look at (1, -14). 

Which number is the x value and which one is the y value?    If you said x = 1 and y = -14, you are right! 

Let's plug (1, -14) into the equation and see what we get:

Now, let's take a look at (-1, -14). 

Which number is the x value and which one is the y value?    If you said x = -1 and y = -14, you are right! 

Let's plug (-1, -14) into the equation and see what we get:

(return to problem 3a)

Answer/Discussion to 3b

 y = -5 ;    (2, -5), (-5, 1), (0, -5)

Which number is the x value and which one is the y value?  If you said x = 2 and y = -5, you are correct! 

Let's plug (2, -5) into the equation and see what we get:

Now, let's take a look at (-5, 1). 

Which number is the x value and which one is the y value?    If you said x = -5 and y = 1, you are right! 

Let's plug (-5, 1) into the equation and see what we get:

Now, let's take a look at (0, -5). 

Which number is the x value and which one is the y value?    If you said x = 0 and y = -5, you are right! 

Let's plug (0, -5) into the equation and see what we get:

(return to problem 3b)

Answer/Discussion to 4a

;  (0,   )  and  (   , 1)

If you said x, you are correct.

Plugging in 0 for x into the given equation and solving for y we get:

*Solve for y
 

In the ordered pair (   , 1), is the 1 that is given the x or the y value? 

If you said y, you are correct.

Plugging in 1 for y into the given equation and solving for x we get:

*Solve for x
 

(return to problem 4a)

Plugging in -1 for x into the given equation and solving for y we get:

Plugging in 1 for x into the given equation and solving for y we get:

Filling in the table we get:

(return to problem 5a)