Find the ratio in which the line segment joining (3,4) and (-2, 1) is divided by the y-axis.
Answers
Step-by-step explanation:
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3:2
ANSWER
solution-. (x1,y1) (x2,y2)
Equation of line (3,4) & (−2,1)
(y-y1)=m(x-x1)
(y-y1)=((y2-y1)/(x2-x1))×(x-x1)
y−4=( 1−4/-2-3) (x−3)
y−4= −3/−5(x−3)
5y−20=3x−9
5y−20=3x−9
line divided by y axis that means x=0
Put x=0
5y−20=9
y= 11/9
At y axis point is (0, 11/5)
then suppose it divides the segment in ratio m:n
(−2m+3n/m+n)=0(m+4n/m+n) =11/5 [section formula]
3n=2m
n=2m/3
m/n=3/2
the ration is m:n=3:2