Question

Use the table to answer the question.

3 categories, x, y, and (x, y)

x contains

0

4

8

y is empty

(x, y) contains

(0, ) corresponding with 0

(4, ) corresponding with 4

(8, ) corresponding with 8

Complete the ordered pairs in the table by finding the y
y
-coordinate of the ordered pairs for the equation y=1/4x
y
=
1
4
x
.

(2 points)

Answer 1

Ok, so its 0, 1, and 2

Answer 2

To find the \( y \)-coordinates of the ordered pairs for the equation \( y = \frac{1}{4}x \), we can substitute the values of \( x \) from the table into the equation.

1. For \( x = 0 \):
\[
y = \frac{1}{4} \times 0 = 0
\]
Ordered pair: \( (0, 0) \)

2. For \( x = 4 \):
\[
y = \frac{1}{4} \times 4 = 1
\]
Ordered pair: \( (4, 1) \)

3. For \( x = 8 \):
\[
y = \frac{1}{4} \times 8 = 2
\]
Ordered pair: \( (8, 2) \)

So the completed ordered pairs are:
- \( (0, 0) \)
- \( (4, 1) \)
- \( (8, 2) \)

Thus, the \( y \)-coordinates for the corresponding \( x \)-values are:
- For \( x = 0 \), \( y = 0 \)
- For \( x = 4 \), \( y = 1 \)
- For \( x = 8 \), \( y = 2 \)

Answer 3

Yes, that’s correct! The \( y \)-coordinates corresponding to the \( x \)-values of 0, 4, and 8 in the equation \( y = \frac{1}{4}x \) are:

- For \( x = 0 \), \( y = 0 \)
- For \( x = 4 \), \( y = 1 \)
- For \( x = 8 \), \( y = 2 \)

So the \( y \)-coordinates are indeed 0, 1, and 2.