To determine if the point \((-4, -1)\) is a solution to the equation \(y = -\frac{4}{1}x - 2\), we need to substitute \(x = -4\) and \(y = -1\) into the equation and check if both sides are equal.
We start with the equation:
\[ y = -4x - 2 \]
Now, substitute \(x = -4\):
\[ y = -4(-4) - 2 \]
Calculate the right side:
\[ y = 16 - 2 \] \[ y = 14 \]
Now, we compare this with the value of \(y\) we have, which is \(-1\). Since \(14 \neq -1\), the point \((-4, -1)\) does not satisfy the equation.
Thus, the correct answer is:
No, because when you substitute −4 for x and −1 for y, the equation is NOT true.