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Question
A(1, −5), B(2, 2) and C(−2, 4) are the vertices of triangle ABC. Find the equation of the line through C and parallel to AB.
Solution
Slope of AB = `(2 + 5)/(2 - 1) = 7`
Slope of the line parallel to AB = Slope of AB = 7
So, the equation of the line passing through C and parallel to AB is
y − 4 = 7(x + 2)
y − 4 = 7x + 14
y = 7x + 18
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