Question

Find the point, M, that divides segment AB into a ratio of 5:5 if A is at (0, 15) and B is at (20, 0).

Answer 1

Answer:

(10,7.5)

Step-by-step explanation:

Let ratio = a:b = 5:5

x1,y1= 0,15

X2,y2= 20,0

M= (bx1+ax2)/(a+b) , (by1+ay2)/(a+b)

=( 5*0+5*20)/(5+5), (5*15+5*0)/(5+5)

= (100)/(10), (75)/(10)

= (10, 7.5)

Answer 2

Let's take an example of a similar question like this !

QUESTION : Find the point, M, that divides segment AB into a ratio of 3:2 if A is at (0, 15) and B is at (20, 0).

SOLUTION : Please see the picture attached with the answer for the solution.

In a similar way, solve the question, "Find the point, M, that divides segment AB into a ratio of 5:5 if A is at (0, 15) and B is at (20, 0).