Question

find the ratio in which the line joining (-2, 5) and (-5,-6) is divided by the line Y= -3. Hence find the point of intersection

Answer 1

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Answer 2

Answer:

Step-by-step explanation:

Let the line joining (-2,5)and(-5,-6)is divided in the ratio M1 and M2 by the line y=-3

So by formula Y=M1y2-m2y1/m1+M2

So -3=M1(-6)-M2(5)/M1+M2

-6m1-5m2=-3m1 -3m2

-6m1+3m1=-3m2 +5m2

-3m1=2m2

M1/M2 =2/3

So M1:M2 =2:3

X=(2)(-5)-(3)( -2)

X=-10+6

X=-4