Question

. Find the equation of the line through the point that divide the join of
(-3,-4) and (7,1) in the ratio 3:2 and perpendicular to the join.​

Answer 1

Answer:

ratio is 2:3 that m:n

now point that divides AB is (

m+n

mx

2

+nx

1

,

m+n

my

2

+ny

1

)

x_1=0,x_2=-5,y_1=4,y_2=9

=(−2,6)

is the point

slope of AB is

−5

9−4

=−1

slope of line perpendicular to line AB is 1

equation of line perpendicular to line AB and passing through (−2,6)

is (y−6)=1(x+2)

x−y+8=0