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