Mathematics
From the given figure, find:
(i) the co-ordinates of A, B and C.
(ii) the equation of the line through A and parallel to BC.
Straight Line Eq
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Answer
(i) From figure,
The co-ordinates of A = (2, 3), B = (-1, 2), C = (3, 0).
(ii) Slope of BC = .
Slope of the line which is parallel to BC = (As parallel lines have equal slope).
Hence, the required equation of the line through A and parallel to BC is given by
⇒ y – y1 = m(x – x1)
⇒ y – 3 = (x – 2)
⇒ 2(y – 3) = -1(x - 2)
⇒ 2y - 6 = -x + 2
⇒ x + 2y = 2 + 6
⇒ x + 2y = 8.
Hence, equation of line through A and parallel to BC is x + 2y = 8.
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