Question

Find the coordinates of the point which divides the line segment joining the points (4, −3) and (8, 5) in the ratio 3 : 1 internally.

Answer 1

Answer:

(7,3)

Step-by-step explanation:

Let P(h,k) is a point which divides the line segment joining two known points A(x1,y1) and B(x2,y2) in the ratio m:n internally, then the coordinates of point P are given by (h,k)≡$(\frac{mx_{2} +nx_{1} }{m+n} , \frac{my_{2}+ny_{1}  }{m+n} )$

Now, in our case, two points(A and B say) with known coordinates are (4,-3) and (8,5) and we have to determine the coordinates of the point (P say), which divides the line segment in the ratio 3:1(m:n say) internally.

So, the coordinates of the point are $(\frac{3*8+4*1}{3+1}, \frac{3*5+1*(-3)}{3+1} )= (7,3)$ (Answer)