Question

Segment HK is divided by point J at a ratio of 3.4. If H(6,9) and J(12, 18), what are the coordinates of point K?

Answer 1

Answer:

Step-by-step explanation:

$x=\frac{mx2+nx1}{m+n}\\let~coordinates ~of~K~be~(x,y)\\12=\frac{3x+4*6}{3+4}\\12*7=3x+24\\3x=84-24\\3x=60\\x=60/3=20\\18=\frac{3y+4*9}{3+4}\\18*7=3y+36\\3y=126-36\\3y=90\\y=90/3=30\\so~K~is~(20,30)$