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

The ratio of RS:ST will evaluated as follows:
RS=√[(-2-(-6))²+(-3-(-5)²)]
RS=√(4²+2²)
RS=√(16+4)
RS=√20
Next
ST=√[(4-(-2))²+(0-(-3))²]
ST=√[(6²+3²)
ST=√45
hence:
RS:ST
=√20/√45
=(2√5)/(3√5)
=2/3
thus the ratio is 2:3