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.

The coordinates of the point that divides the line internally in the given ratio is (7,3)

Step-by-step explanation:

To find this coordinates, we use the in renal division formula

we have this as;

(x,y) =( nx1 + mx2)/(m + n) , (ny1 + my2)/(m + n)

(x1,y1) = (4,-3)

(x2,y2) = (8,5)

(m,n) = (3,1)

So, substituting these values, we have ;

(x,y) = (1(4) + 3)8))/(3 + 1) , (1(-3) + 3)5)/(1 + 3)

(x,y) = (28)/4, (12/4)

(x,y) = (7,3)

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl