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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)

3 answers

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 \( x = 8 \), \( y = 2 \)
Ok, so its 0, 1, and 2

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.