Question

the coordinates of the point which divides the line segment joining the points (3,5) and (8,−10) internally in the ratio 3:2. ​

Answer 1

Answer:

(6,-4)

Step-by-step explanation:

By Section Formula,

x = [8(3)+3(2)]3+2

x = (24+6)/5

x = 30/5

x = 6

y = [-10(3)+5(2)]/3+2

y = -30+10/5

y = -20/5

y = -4

Coordinates = (6,-4)

Answer 2

Step-by-step explanation:

let the co ordinates of point P(x,y)

P(x,y)= {M1X2+M2X1/m1+m2 , M1Y2+M2Y1/m1+m2}

= {3×8+2×3/3+2 , 3×(-10)+2×5/3+2}

= { 24+6/5 , -30+10/5}

= {30/5 , -20/5}

P(x,y) = (6, -4)