Since the given function is
[tex]T=x-2y[/tex]
We will substitute each point in the equation, then find the smallest answer
For point (3, -2)
x = 3, y = -2
[tex]\begin{gathered} T=3-2(-2) \\ T=3+4 \\ T=7 \end{gathered}[/tex]
For point (-2, 3)
x = -2, y = 3
[tex]\begin{gathered} T=-2-2(3) \\ T=-2-6 \\ T=-8 \end{gathered}[/tex]
For point (-3, -2)
x = -3, y = -2
[tex]\begin{gathered} T=-3-2(-2) \\ T=-3+4 \\ T=1 \end{gathered}[/tex]
For the point (2, -3)
x = 2, y = -3
[tex]\begin{gathered} T=2-2(-3) \\ T=2+6 \\ T=8 \end{gathered}[/tex]
The minimum value is -8
Then the vertex is (-2, 3)
The answer is B
