the coordinates of the endpoints of line RT are R (-6,-5) and T (4,0), and point 2 is on line RT. The coordinate of S are (-2,-3). Which of the following represents the ratio RS: ST
Accepted Solution
A:
The ratio of RS:ST will evaluated as follows: RS=β[(-2-(-6))Β²+(-3-(-5)Β²)] RS=β(4Β²+2Β²) RS=β(16+4) RS=β20 Next ST=β[(4-(-2))Β²+(0-(-3))Β²] ST=β[(6Β²+3Β²) ST=β45 hence: RS:ST =β20/β45 =(2β5)/(3β5) =2/3 thus the ratio is 2:3