Question

find the coordinates of a point P which divides the line segment joining the points (5,0) and (-2,7) in the ratio 3:4​​

Answer 1

Step-by-step explanation:

(mx2+nx1)÷m+n and (my2+ny1)÷m+n

according to the formula we have

(3 (-2)+4 (5))÷(3+4) and (3 (7)+4 (0))÷(3+4)

=14/7 and 21/7

=2and 3

so the coordinate of point p is (2,3)

Answer 2

Step-by-step explanation:

Let P=(x,y)

By using section formula i.e. [(m1x2 + m2x1/m1 + m2),(m1y2 + m2y1/m1 + m2)] ;

P=[3(-2)+4(5)]/(3+4) , [3(7)+4(0)]/(3+4)

P=(-6+20)/7 , (21+0)/7

P=14/7 , 21/7

P=(2,3)

So coordinates of P are (2,3)