To evaluate the expression \(-4x + 7y\) when \(x = -2\) and \(y = -4\), substitute the values of \(x\) and \(y\) into the expression:
\[ -4(-2) + 7(-4) \]
Now, calculate each term:
- \(-4(-2) = 8\)
- \(7(-4) = -28\)
Now combine the results:
\[ 8 - 28 = -20 \]
So, the value of the expression \(-4x + 7y\) when \(x = -2\) and \(y = -4\) is \(-20\).
The correct response is \(-20\).