1. The problem asks about the number of solutions to a system of linear equations where the first equation is $f(x) = -4x + 8$ and the second equation has a different slope. 2. Recall that the slope of a linear equation determines its steepness and direction. Two lines with different slopes will intersect at exactly one point. 3. The first equation has slope $m_1 = -4$. 4. The second equation has slope $m_2 \neq -4$ (different from the first). 5. Since $m_1 \neq m_2$, the two lines are not parallel and will intersect at exactly one point. 6. Therefore, the system of equations has exactly one solution. Final answer: The system has exactly one solution.