To solve the expression \(-8 \cdot (-2, 7) - (7, 9)\), we need to perform the operations component-wise, treating \((-2, 7)\) and \((7, 9)\) as vectors.
First, calculate \(-8 \cdot (-2, 7)\):
\[ -8 \cdot (-2) = 16 \] \[ -8 \cdot 7 = -56 \]
So, \(-8 \cdot (-2, 7) = (16, -56)\).
Now we need to subtract \((7, 9)\) from \((16, -56)\) component-wise:
\[ (16, -56) - (7, 9) = (16 - 7, -56 - 9) \] \[ = (9, -65) \]
Therefore, the result of the expression \(-8 \cdot (-2, 7) - (7, 9)\) is \((9, -65)\).