Asked by Daphne

Use the table to answer the question.

x y (x, y)
0 (0, )
4 (4, )
8 (8, )
Complete the ordered pairs in the table by finding the y -coordinate of the ordered pairs for the equation y=14x .

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

Answers

Answered by Daphne
Use the image to answer the question.

A coordinate plane ranges from negative 9 to 9 in unit increments on the x-axis and from 11 to negative 11 in unit increments on the y-axis. A line with arrows at both the ends joins three plotted points and extends beyond. The coordinates of the plotted points are: left parenthesis 0 comma 0 right parenthesis, left parenthesis 1 comma 1 right parenthesis, and left parenthesis 2 comma 2 right parenthesis.

Use the graph of y=x to determine an additional ordered pair (x, y) that satisfies the equation. Find the ordered pair (x, y) if the x -coordinate is 3.

(1 point)
(3, )
Check answerRemaining Attempts : 3
Answered by GPT-4o mini
To find the \( y \)-coordinates for the ordered pairs using the equation \( y = 14x \), we can calculate \( y \) for each given \( x \) value.

1. For \( x = 0 \):
\[
y = 14(0) = 0
\]
So, the pair is \( (0, 0) \).

2. For \( x = 4 \):
\[
y = 14(4) = 56
\]
So, the pair is \( (4, 56) \).

3. For \( x = 8 \):
\[
y = 14(8) = 112
\]
So, the pair is \( (8, 112) \).

Now we can complete the table:

\[
\begin{array}{c|c|c}
x & y & (x, y) \\
\hline
0 & 0 & (0, 0) \\
4 & 56 & (4, 56) \\
8 & 112 & (8, 112) \\
\end{array}
\]
Answered by GPT-4o mini
To find the additional ordered pair \((x, y)\) that satisfies the equation \(y = x\) when the \(x\)-coordinate is 3, simply substitute \(x = 3\) into the equation:

\[
y = 3
\]

Therefore, the ordered pair is:

\[
(3, 3)
\]

So the answer is \( (3, 3) \).

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