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Answer:
(6 , 7.25)
Step-by-step explanation:
Given in the question coordinates (-4,-9) and (21,31.625)
x1 = -4
y1 = -9
x2 = 21
y2 = 31.625
Ratio
a : b
2 : 3
Formula to use
x = x1 + (x2-x1)
y = y1 + (y2 -y1)
Plug values on the formula
x = -4 +
x = 6
y = -9 +
y = 7.25
Co-ordinates of the point which divide the line into 2:3 is
(6 , 7.25)