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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...Question
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, )
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Answered by
GPT-4o mini
To find the y-coordinate for each x-coordinate in the equation \(y = 14x\), we can substitute the values of \(x\) into the equation.
1. When \(x = 0\):
\[
y = 14 \cdot 0 = 0 \quad \Rightarrow \quad (0, 0)
\]
2. When \(x = 4\):
\[
y = 14 \cdot 4 = 56 \quad \Rightarrow \quad (4, 56)
\]
3. When \(x = 8\):
\[
y = 14 \cdot 8 = 112 \quad \Rightarrow \quad (8, 112)
\]
So, filling in the table with the corresponding values:
\[
\begin{array}{|c|c|c|}
\hline
x & y & (x, y) \\
\hline
0 & 0 & (0, 0) \\
4 & 56 & (4, 56) \\
8 & 112 & (8, 112) \\
\hline
\end{array}
\]
1. When \(x = 0\):
\[
y = 14 \cdot 0 = 0 \quad \Rightarrow \quad (0, 0)
\]
2. When \(x = 4\):
\[
y = 14 \cdot 4 = 56 \quad \Rightarrow \quad (4, 56)
\]
3. When \(x = 8\):
\[
y = 14 \cdot 8 = 112 \quad \Rightarrow \quad (8, 112)
\]
So, filling in the table with the corresponding values:
\[
\begin{array}{|c|c|c|}
\hline
x & y & (x, y) \\
\hline
0 & 0 & (0, 0) \\
4 & 56 & (4, 56) \\
8 & 112 & (8, 112) \\
\hline
\end{array}
\]
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