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The line passing through the points (5, 1, a) and (3, b, 1) crosses the yz-plane at the point (0, 17/2, -13/2). Then

1. a = 2, b = 8
2. a = 4, b = 6
3. a = 6, b = 4
4. a = 8, b = 2

Correct answer: a = 6, b = 4

Solution

The correct option is right because the coordinates of the points on the line can be used to derive the equations of the line, and substituting the x-coordinate of the yz-plane (which is 0) into these equations yields the correct values for a and b, specifically a = 6 and b = 4, which match the intersection point given.

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