Mathematics
The figure given alongside shows two straight lines AB and CD intersecting each other at point P (3, 4). Find the equations of AB and CD.
Straight Line Eq
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Answer
From figure,
Slope of AB = tan 45° = 1.
Slope of CD = tan 60° = .
By point-slope form,
Since, line AB passes through point P(3, 4) and slope = 1. Substituting values in point-slope form,
⇒ y - 4 = 1(x - 3)
⇒ y - 4 = x - 3
⇒ y - x = -3 + 4
⇒ y - x = 1
⇒ y = x + 1.
Since, line CD passes through point P(3, 4) and slope = . Substituting values in point-slope form,
⇒ y - 4 = (x - 3)
⇒ y - 4 =
⇒ y = .
Hence, equation of AB is y = x + 1 and equation of CD is y = .
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