SOLUTION:
Case: Lines
Method:
Here we look at the lines by testing them on the points
A)
x - y - 6 = 0
(5, -1)
5 - (-1) - 6 = 0
5 + 1 - 6 = 0
6 - 6 = 0 (True)
B)
x + y + 6 = 0
(5, -1)
5 + (-1) + 6 = 0
5 - 1 + 6 = 0
10 is not equal to 0
(False)
C)
x + 5y -6 = 0
(5, -1)
5 +5(-1) - 6 = 0
5 -5 -6 = 0
- 6 is not equal to 0
(False)
D)
x + 5y + 10 = 0
(5, -1)
5 + 5(-1) +10 = 0
5 - 5 +10 = 0
10 is not equa; to zero
(False)
Final answer: Option A
x - y - 6 = 0