Mathematics
Find the equation of the straight line containing the point (3, 2) and making positive equal intercepts on axes.
Straight Line Eq
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Answer
Let the line containing the point (3, 2) passes through x-axis at (x, 0) and y-axis at (0, y).
Given, the intercepts made on both the axes are equal.
∴ x = y
Hence, the equation of the line will be
⇒ y - y1 = m(x - x1)
⇒ y - 2 = -1(x - 3)
⇒ y - 2 = -x + 3
⇒ y + x - 2 - 3 = 0
⇒ x + y - 5 = 0.
Hence, the equation of the line is x + y - 5 = 0.
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