Question

find the coordinates of the point P which divides the line segment joining the points 3, - 4 and - 6,2 in the ratio 3 :4 externally​

Answer 1

Answer:

(30, - 22)

Step-by-step explanation:

Given  

find the coordinates of the point P which divides the line segment joining the points 3, - 4 and - 6,2 in the ratio 3 :4 externally

ANSWER

Let the points (3, - 4) and (-6, 2) be the line segment and p(x,y) be the third point which divides the line in the ratio 3:4

        X1 = 3, y1 = - 4, x 2 = - 6, y2 = 2, m1 = 3, m2 = 4

By section formula we have

       X = m1 x2 – m2 x1 / m1 – m2

       Y = m1y2 – m2y1 / m1 – m2

 So x = 3(-6) – 4(3) / 3 – 4 = - 18 – 12 / - 1 = 30

     Y = 3(2) – 4(-4) / 3 – 4 = 6 + 16 / - 1 = - 22

So the coordinates of point p will be (30, - 22)