Which of the following points lies on the line 3x - 8y = 11?

Analyze the question: A point lies on a line if its coordinates satisfy the line's equation. So we substitute each option into 3x - 8y and check whether we get 11.

Concept: For the line 3x - 8y = 11, a point (x, y) is on the line only if 3x - 8y equals exactly 11.

Solution:

• A. (1, 1): 3(1) - 8(1) = 3 - 8 = -5 ≠ 11
• B. (1, -1): 3(1) - 8(-1) = 3 + 8 = 11 ✓
• C. (-1, 1): 3(-1) - 8(1) = -3 - 8 = -11 ≠ 11
• D. (-1, -1): 3(-1) - 8(-1) = -3 + 8 = 5 ≠ 11

Tip: Watch the signs carefully. Subtracting a negative becomes addition: -8(-1) = +8. Options C and D are traps built from sign mistakes (C gives -11, the negative of the target). In "which point lies on the line" questions, just substitute each option and check.