Answer:
So coordinates of B (18,-15)
Explanation:
Given: Line coordinates P(10,-1)
A-------------------------------------------B (2,13) (x, y)The point P(x', y') divides AB in 1:1 ratio
=m:nSo from formula:x'
=(mx1 + nx2)/(m+n) and y'
= (my1+ny2)/(m+n) where (x',y')
=(10,-1), m:n
=1:1 and (x1, y1)
=(2,13), (x2,y2)=(x,y)
Put the values in the formula:
10 = 1(2)+1(x)/1+1 = (2+x)/2
=>20=2+x from cross multiplication
=>x=20-2=18 from transposition
=>x=18
-1=1(13)+1(y)/1+1 =(13+y)/2
=>-2=13+y from cross multiplication
=>y=-2-13=-15 from transposition
=>y=-15