Discover the answers to your questions at Westonci.ca, where experts share their knowledge and insights with you. Explore a wealth of knowledge from professionals across different disciplines on our comprehensive platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

Line segment AB has endpoints A(6, 4) and B(2, 6). Find the coordinates of the point that divides the line segment directed from A to B in the ratio of 1:3.

Sagot :

Answer:

(3, 5.5)

Step-by-step explanation:

Given the line segment AB with endpoints A(6, 4) and B(2, 6). If the coordinates of the point divide the line segment directed from A to B in the ratio of 1:3, then;

M(X, Y) = {(ax1+bx2)/a+b, ay1+by2/a+b}

X = ax1+bx2/a+b

X = 1(6) + 3(2)/1+3

X = 6+6/4

X = 12/4

X = 3

Similarly;

Y = ay1+by2/a+b

Y = 1(4)+3(6)/1+3

Y = 4+18/4

Y = 22/4

Y = 5.5

Hence the required coordinate is (3, 5.5)