Problem

Complete the three ordered-pair solutions of the equation.
\[
\begin{array}{l}
y=4 x+7 \\
(2, \square) \\
(0, \square) \\
(-4, \square)
\end{array}
\]
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Answer

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Answer

Final Answer: \(\boxed{(2, 15), (0, 7), (-4, -9)}\)

Steps

Step 1 :The equation given is in the form of \(y = mx + c\), where \(m\) is the slope and \(c\) is the y-intercept. To find the y-values for the given x-values, we can substitute the x-values into the equation and solve for \(y\).

Step 2 :Substitute \(x = 2\) into the equation, we get \(y = 4*2 + 7 = 15\). So the ordered pair is \((2, 15)\).

Step 3 :Substitute \(x = 0\) into the equation, we get \(y = 4*0 + 7 = 7\). So the ordered pair is \((0, 7)\).

Step 4 :Substitute \(x = -4\) into the equation, we get \(y = 4*(-4) + 7 = -9\). So the ordered pair is \((-4, -9)\).

Step 5 :The three ordered-pair solutions of the equation are \((2, 15)\), \((0, 7)\), and \((-4, -9)\).

Step 6 :Final Answer: \(\boxed{(2, 15), (0, 7), (-4, -9)}\)

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