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?
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).
