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AC has endpoints with coordinates A(-5 2) and c (4,-10). if b is a point on AC:BC=1:2, what are the coordinates of B?

 Apr 5, 2023
 #1
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We can use the midpoint formula to find the coordinates of point B, which is the midpoint of segment AC.

Let's first find the coordinates of the midpoint M of AC:

M = ((-5 + 4)/2, (2 - 10)/2) = (-0.5, -4)

Now, since BC is twice as long as AB, point B is located one-third of the way from A to M:

B = ((2/3)(-5) + (1/3)(-0.5), (2/3)2 + (1/3)(-4))

Simplifying, we get: B = (-7/2, 0).

 Apr 5, 2023
 #2
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Answer: B(x, y) = (-2, -2). Step-by-step explanation: Given: AB: AC (m₁: m₂) = 1 : 2, A (x₁, y₁) = (-5, 2) and B(x₂, y₂) = (4, -10).
 Apr 5, 2023

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