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Question
A(1, 4), B(3, 2) and C(7, 5) are vertices of a triangle ABC. Find the equation of a line, through the centroid and parallel to AB.
Solution
Slope of the line parallel to AB = Slope of AB = −1
Thus, the required equation of the line is
y – y1 = m(x – x1)
`y - 11/3 = -1(x - 11/3)`
`y - 11/3 = -x + 11/3`
`y + x = 11/3 + 11/3`
`y + x = (11 + 11)/3`
= `22/3`
3y + 3x = 22
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