Straight Lines
Equation of Line in Intercept Form
AIEEE 2006
Grade 11

Question:

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) $3x + 4y - 25 = 0$

Step-by-Step Solution

Key Concept: If intercepts are $(a, 0)$ and $(0, b)$, the midpoint of the intercept is $(a/2, b/2)$. Set this equal to $(3, 4)$ to find $a$ and $b$, then write the intercept form.
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Correct Answer: (3)

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