TASK DEFINITION: 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.
PROBLEM: The graph of \(y = x - 2\) is drawn on a set of coordinate axes. If the graph of \(y = x + 7\) is then drawn on the same axes, how does the second graph compare to the first?
(A)The second graph will be 9 units above the first. (B)The second graph will be 3 units above the first. (C)The second graph will be 5 units bellow the first. (D)The second graph will be 9 units bellow the first. (E)The second graph will have a greater slope than the first.

SOLUTION: A

PROBLEM: R, S and T are points with RT = 2RS. Which of the following could be true? I. R, S and T are the vertices of a right triangle. II. R, S and T are three of the vertices of a square. III. R, S and T all lie on the circumference of a circle.
(A)I only (B)III only (C)I and II only (D)I and III only (E)I, II, and III

SOLUTION: D

PROBLEM: What is the slope of a line with the equation \(y + 3 = 5(x - 2)\) ?
(A)7 (B)5 (C)3 (D)10 (E)13

SOLUTION:
B