Use the table to answer the question

Question

x y (x , y)
0 (0 ,)
4 (4 ,)
8 (8 ,)

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

x y (x , y)
0 (0 , _ )
4 (4 , _ )
8 (8 , _ )

Answer 1

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

1. For \( x = 0 \): \[ y = \frac{1}{4} \cdot 0 = 0 \] So, the ordered pair is \( (0, 0) \).

2. For \( x = 4 \): \[ y = \frac{1}{4} \cdot 4 = 1 \] So, the ordered pair is \( (4, 1) \).

3. For \( x = 8 \): \[ y = \frac{1}{4} \cdot 8 = 2 \] So, the ordered pair is \( (8, 2) \).

Now we can complete the table:

\[ \begin{array}{|c|c|c|} \hline x & y & (x, y) \ \hline 0 & 0 & (0, 0) \ 4 & 1 & (4, 1) \ 8 & 2 & (8, 2) \ \hline \end{array} \]