Respuesta :
The coordinates of the centroid of Δ ABC is y = -1/3x + 2.
What is meant by the slope of the line?
The slope of the line is the rise-to-run ratio or the rise divided by the run. It expresses the slope of a line in the coordinate plane. Finding the slope of a line is similar to determining the slope between two points.
The midpoint D of AC is (-3+4/2, 3-3/2) or (1/2, 0).
Note that DB is a line that connects the vertex B and D, the midpoint of AC.
The slope of the line DB is ((5-0)/(2-1/2)) or 10/3.
The equation of DB is
y - 5 = 10/3 (x - 2)
simplifying the above equation, we get
y - 5 = 10x/3 - 20/3
y - 5 + 5 = 10x/3 - 20/3 + 5
y = 10x/3 - 5/3
Use the same method to find the equation of the line between point A and the midpoint of BC.
Therefore, the coordinates of the centroid of Δ ABC is y = -1/3x + 2.
To learn more about the slope of the line refer to:
https://brainly.com/question/16949303
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