ANSWER:
A: (4, 9)
B: (-1, -3)
STEP-BY-STEP EXPLANATION:
We have the following function:
[tex]q(x)=4x-\frac{(3+8x)}{5}[/tex]We determine the two points when x = 4 and when x = -1, like this:
[tex]\begin{gathered} q(4)=4\cdot4-\frac{\left(3+8\cdot4\right)}{5}\: \\ \\ q(4)=16-\frac{3+32}{5}=16-7 \\ \\ q(4)=9 \\ \\ A=(4,9) \\ \\ q(-1)=4\cdot\left(-1\right)-\frac{\left(3+8\cdot(-1)\right)}{5}\: \\ \\ q(-1)=-4-\frac{3-8}{5} \\ \\ q(-1)=-4-(-1)=-4+1 \\ \\ q(-1)=-3 \\ \\ B=(-1,-3) \end{gathered}[/tex]Therefore point A is (4, 9) and point B is (-1, -3)