Question

a point p divides the line rt in the ratio "-2:5." find the coordinates of p given that r(3,1) and t(6,-5).

Answer 1

Ratio = -2:5

Using section formula

(m1x2+m2x1/m1+m2,m1y2+m2y1/m1+m2)

(-2*6+5*3/-2+5,-2*-5+5*1/-2+5)

(-12+15,10+5)
      3         3

(³/₃,¹⁵/₃)

(1,5)=coordinates of P