What are the x- and y- coordinates of point p on the directed line segment from a to b such that p is the length of the line segment from a to b? (2, –1) (4, –3) (–1, 2) (3, –2)

A = (9,-8)   B = (-6,7)
P is (2/3) the line of the line segment from A to B
So, AP = (2/3) AB   and  BP = (1/3) AB

OR we will divide the length of AB with the ratio 2 : 1 from A




∴ m = 2 , n = 1
∴  
∴

The coordinates of point P is ( -1 , 2 )

The correct answer is option three

First step is to get rid of the square root. remember that a square root is the same as raising to the (1/2) power. see below: multiply exponents per exponent rules to get: remember you subtract exponents from the denominator and add exponents in the numerator so: simplify further: so a is the correct choice. if you don't understand this google exponent rules and it will you understand. look at the image results.