Mathematics
Find the equation of the line through the points A(-1, 3) and B(0, 2). Hence, show that the points A, B and C(1, 1) are collinear.
Straight Line Eq
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Answer
By formula,
Slope =
Substituting values we get,
Slope of AB = = -1.
By point-slope form,
Equation of AB is :
⇒ y - y1 = m(x - x1)
⇒ y - 3 = -1[x - (-1)]
⇒ y - 3 = -1(x + 1)
⇒ y - 3 = -x - 1
⇒ x + y = -1 + 3
⇒ x + y = 2.
Slope of BC = = -1.
Since, slope of AB = slope of BC.
Hence, proved that A, B and C are collinear and equation of AB is x + y = 2.
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