Question

if a b are (-4,-4) and (4-8) respectively find the coordinates of p such that AP= 6/4 and AB and p lies on the line segment ab

Answer 1

Answer:

the coordinates of point P(x, y) = (8, -10)

Step-by-step explanation:

let be the coordinates of point p be p(x, y)

AP= 6/4AB

AP= 6/4( AP+PB)

4AP= 6(AP+PB)

4AP= 6AP+ 6PB

-2AP= 6PB

AP/PB= 3/-1

hence the point p divided AB in the ratio of 3:-1

finding the coordinate of p using the section formula

m1x2+m2x1. m1y2+m2y1

x=___________ y=___________

m1+ m2. m1+m2

3*4+(-1*-4). 3*-8 + (-1* -4)

x= ___________ y= __________

3-1. 3-1

x= 16/2. y= -20/2

x= 8. y= -10

The coordinates if point(x, y)= (8, -10)