In the xy-plane, points (−3,5) and (6,8) lie on line I . Which of the following points is also on line I?
- (12,11)
- (0,6)
- (9,10)
- (3,8)
Explanation
Find the equation of line I using the two-point form:
(y - 5) / (8 - 5) = (x - (-3)) / (6 - (-3))
(y - 5) / 3 = (x + 3) / 9
y = (1/3)x + 6
Check which point lies on line I:
(0, 6): 6 = (1/3)(0) + 6 => True
Answer: (0, 6)
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