Math, asked by joshuasaji225JOSH, 1 year ago

find the ratio in which the line segment joining a(6,5)&b(4,-3) is divided by line y=2

Answers

Answered by riu6
39
may it will help you
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Answered by DelcieRiveria
54

Answer:

The line segment AB is divided by line y=2 in 3:5.

Step-by-step explanation:

The end points of line segment are A(6,5) and B(4,-3).

Let the line segment AB is divided by line y=2 in k:1.

The intersection point of AB and y=2 is (x,2).

Using section formula:

y=\frac{my_2+ny_1}{m+n}

2=\frac{k(-3)+1(5)}{k+1}

2k+2=-3k+5

2k+3k=5-2

5k=3

Divide both sides by 5.

k=\frac{3}{5}

Therefore the line segment AB is divided by line y=2 in 3:5.

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