You are given a geometric mathematical question. Questions in this task often involve shapes and Geometric Relationships. You are also given 4 or 5 answer options (associated with "A", "B", "C", "D", "E"). Do not generate anything else apart from one of the following characters: 'A', 'B, 'C', 'D', 'E'. LaTeX mathematical format (the standard way to express mathematical expressions in the typesetting software known as LaTeX) is used to express equations. Each question is solvable with high school math knowledge.

In the xy-plane, a line contains the points (-3,7), (1,-3) and (3, t). What is the value of t ?
(A)-13 (B)-11 (C)-10 (D)-9 (E)-8
E

For any point on line \(\ell\), the product of the x-coordinate and the y-coordinate is less than or equal to zero. Which of the following could be the equation of line \(\ell\) ?
(A)\(y = -2\) (B)\(x = -2\) (C)\(y = -2x\) (D)\(y = -2x - 2\) (E)\(y = 2x - 2\)
C

If A is at (3, -1) and B is at (5, 6) what is the slope of the perpendicular bisector of segment \(\overline { AB } \) ?
(A)\(-\frac { 7 } { 2 } \) (B)\(-\frac { 2 } { 5 } \) (C)\(-\frac { 2 } { 7 } \) (D)\(\frac { 2 } { 7 } \) (E)\(\frac { 2 } { 5 } \)

C