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If the points (-3,6), (-9,a) and (0,15) are collinear, then fi

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If the points (-3,6), (-9,a) and (0,15) are collinear, then find a.

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Text solutionVerified

Let the given points be A(-3,6), B(-9,a) and C(0,15).

Slope of AB =

\frac{a - 6}{- 9 + 3} = \frac{6 - a}{6}

Slope of BC =

\frac{a - 15}{- 9 - 0} = \frac{15 - a}{9}

Since the points A, B and C are collinear.

Slope of AB = Slope of BC

\frac{6 - a}{6} = \frac{15 - a}{9}

18 - 3 a = 30 - 2 a

a = - 12

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Question Text	If the points (-3,6), (-9,a) and (0,15) are collinear, then find a.
Answer Type	Text solution:1
Upvotes	150