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A straight line through the point A(3, 4) is such that its intercept between the axes is bisected at A. Its equation is

1. x + y = 7
2. 3x − 4y + 7 = 0
3. 4x + 3y = 24
4. 3x + 4y = 25

Correct answer: 4x + 3y = 24

Solution

If A(3,4) bisects the intercept, the axis intercepts are (6,0) and (0,8). The line x/6 + y/8 = 1 gives 4x + 3y = 24.

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