The endpoints of line MP are M(1,4) and P(16,14). If A partitions line MP in a ratio of MA: AP=2: 1, which of the following represents the coordinates of point A?A(6,9)B(7,8)C(11,32/3)D(9,6)
Accepted Solution
A:
we have that point M(1,4) and point P(16,14)
the distance MP in the x coordinate is d MPx=(16-1)-----> 15 units
the distance MP in the y coordinate is d MPy=(14-4)-----> 10 units
the coordinate of point A in the x coordinate Mx=1----------> the x coordinate of the point M Ax=Mx+(2/3)*d MPx-------> 1+(2/3)*15------> Ax=11
the coordinate of point A in the y coordinate My=4----------> the y coordinate of the point M Ay=My+(2/3)*d MPy-------> 4+(2/3)*10------> (12+20)/3------> Ay=32/3