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The slope of line Line B D is StartFraction 2 b Over 2 a minus c EndFraction. Triangle A B C with centroid G is shown on an x and y-axis. Lines are drawn from each point through the centroid to the midpoint of the opposite side to form line segments A F, B D, and C E. Point A is at (0, 0), point D is at (c, 0), point C is at (2 c, 0), point B is at (2 a, 2 b), and point E is at (a, b). What is the equation of Line B D, simplified? y − y1 = m(x − x1) y − 0 = (StartFraction 2 b Over 2 a minus c EndFraction)(x − c) y = (StartFraction b Over a minus c EndFraction)x − (StartFraction 2 b c Over 2 a minus c EndFraction) y = (StartFraction 2 b Over 2 a minus c EndFraction)x − (StartFraction b c Over 2 a minus 2 c EndFraction) y = (StartFraction 2 b Over 2 a minus c EndFraction)x − (StartFraction 2 b c Over 2 a minus c EndFraction) y = (StartFraction 2 b Over a minus c EndFraction)x − (StartFraction 2 b c Over a minus c EndFraction)

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Answer:

C. y = (2b / a - c) x -(2bc / 2a - c)

Explanation:

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