Find the coordinates of the points which divide the join X(-1,7) and Y(4,-3) in the ratio of 7:2.

Mathematics

1 answer:

Romashka [77]3 years ago

6 0

Answer:

(26/9 , -7/9)

Step-by-step explanation:

Here,

let the points be

X(-1,7) = (x1, y1)

Y(4,-3) = (x2,y2)

and let the ratio be...

m:n = 7:2

and.. let the point that divides the line be

P(x,y)

now using the section formula for internal division..

P(x,y) = ( m.x2 + nx.1 / m+ n , my2+ny2/m+n )

= ( 7.4+2.-1 / 7+2 , 7.-3 + 2.7/7+2 )

= ( 26/9 , -7/9 )

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\begin{array}{rllll} 
% left side templates
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\\ \quad \\
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% right side info
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$\bf \begin{array}{llll}


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