Which of the points below are solutions to the following equation? -x+6y=-12 (-1,-(19)/(6)) (11,0) (6,0) (0,-1) None of the above.

To determine which of the given points are solutions to the equation \(-x + 6y = -12\), we need to substitute each point into the equation and see if it satisfies the equation.<br /><br />1. For the point \((-1, -\frac{19}{6})\):<br /> \[<br /> -(-1) + 6\left(-\frac{19}{6}\right) = 1 - 19 = -18 \neq -12<br /> \]<br /> This point does not satisfy the equation.<br /><br />2. For the point \((11, 0)\):<br /> \[<br /> -(11) + 6(0) = -11 \neq -12<br /> \]<br /> This point does not satisfy the equation.<br /><br />3. For the point \((6, 0)\):<br /> \[<br /> -(6) + 6(0) = -6 \neq -12<br /> \]<br /> This point does not satisfy the equation.<br /><br />4. For the point \((0, -1)\):<br /> \[<br /> -(0) + 6(-1) = -6 \neq -12<br /> \]<br /> This point does not satisfy the equation.<br /><br />Since none of the given points satisfy the equation \(-x + 6y = -12\), the correct answer is:<br /><br />**None of the above.**