Question

Find the coordinates of the point p which is 3/4 of the way from a(3,1) to b(-2,5)

Answer 1

Answer:

Hey mate , here is your answer ....

Step-by-step explanation:

Let the length AB = x units

From the question , we have

AP = 3x/4

and ,

PB = x/4

Now , AP : PB

= 3x/4 : x/4

= 3:1

Let the coordinates of point P be ( x 1 , y 1 ).

Using section formula ,

x 1 = ( 3 + -2×3 ) / ( 3 + 1 ) = ( 3 - 6 ) / 4 = -3/4

y 1 = ( 1 + 3 × 5 ) / ( 3 + 1 ) = ( 1 + 15 ) / 4 = 16/ 4 = 4 4

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Hence , the required coordinates of P are

( -3/4 , 4 ) .

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