Problem

For the line $y=1-4 x$, create a table to show the values of $x$ and $y$ where $x$ is from -2 to 2 .

Answer

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Answer

\(\boxed{\begin{array}{c|c} x & y \\ \hline -2 & 9 \\ -1 & 5 \\ 0 & 1 \\ 1 & -3 \\ 2 & -7 \end{array}}\)

Steps

Step 1 ：Create a table with values of x from -2 to 2 and their corresponding y values using the equation \(y = 1 - 4x\).

Step 2 ：Calculate the y values for each x value:

Step 3 ：\(-2: y = 1 - 4(-2) = 1 + 8 = 9\)

Step 4 ：\(-1: y = 1 - 4(-1) = 1 + 4 = 5\)

Step 5 ：\(0: y = 1 - 4(0) = 1\)

Step 6 ：\(1: y = 1 - 4(1) = 1 - 4 = -3\)

Step 7 ：\(2: y = 1 - 4(2) = 1 - 8 = -7\)

Step 8 ：\(\boxed{\begin{array}{c|c} x & y \\ \hline -2 & 9 \\ -1 & 5 \\ 0 & 1 \\ 1 & -3 \\ 2 & -7 \end{array}}\)

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