Question

22. A (1, 4), B (3, 2) and C (7,5) are vertices of
triangle ABC. Find : the equation of a line, through the centroid and parallel to AB​

Answer 1

Step-by-step explanation:

Centroid of A, B, and C : ((1+3+7)/3,(4+2+5)/3) = (11/3,11/3)

Slope of line through AB : (2-4)/(3-1) = -1

Then, slope of any line parallel to AB will also be -1.

Equation of desired line : (y-11/3)/(x-11/3) = -1

y-11/3 = -x+11/3

x+y = 22/3