Answer:
(-7,8)
Step-by-step explanation:
The coordinates of the points dividing the line segment in ratio m:n can be calculated as:
[tex](\frac{mx_{1}+nx_{2}}{m+n} ,\frac{my_{1}+ny_{2}}{m+n} )[/tex]
Here x1, y1 are the coordinates of first point J (-10, 12) and x2, y2 are the coordinates of second point K(8, -12).
In this case m will be 5 and n will be 1 as the ratio is 5:1
Using all these values we can find the coordinates of point L
[tex]( \frac{5(-10)+1(8)}{5+1},\frac{5(12)+1(-12)}{5+1} )\\\\ = (\frac{-42}{6} ,\frac{48}{6} )\\\\ =(-7,8)[/tex]
Thus, the coordinates of point L which divides the line segment JK in 5:1 are (-7,8)
