Problem

Copy and complete the table for the graph $y=-2 x-3$. What values should replace $A, B$ and $C$ ?
\begin{tabular}{c|c|c|c|c|c}
$x$ & -2 & -1 & 0 & 1 & 2 \\
\hline$y$ & 1 & $\mathrm{~A}$ & $\mathrm{~B}$ & -5 & $\mathrm{C}$
\end{tabular}

Answer

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Answer

\(\boxed{A = -1, B = -3, C = -7}\)

Steps

Step 1 :The equation of the line is given as \(y=-2x-3\). We can substitute the given \(x\) values into the equation to find the corresponding \(y\) values. This will give us the values for \(A, B\) and \(C\).

Step 2 :For \(x=-1\), \(y=-2(-1)-3=-1\). So, \(A=-1\).

Step 3 :For \(x=0\), \(y=-2(0)-3=-3\). So, \(B=-3\).

Step 4 :For \(x=2\), \(y=-2(2)-3=-7\). So, \(C=-7\).

Step 5 :\(\boxed{A = -1, B = -3, C = -7}\)

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