Question

On a number line, the directed line segment from Q to S has endpoints Q at –14 and S at 2. Point R partitions the directed line segment from Q to S in a 3:5 ratio. Which expression correctly uses the formula to find the location of point R?

Answer 1

Answer;

x1 + k (x2-x1) , -14 + 3/8 (2-(-14))

x1 = -14, k = 3/8 and x2 =2

Thus; -14 + 3/8 (2- (-14))

Thus; the expression that correctly uses the formula to find the location of point R is;

= x1 + k (x2-x1) , -14 + 3/8 (2-(-14))

Answer 2

the directed line segment from Q to S has endpoints Q at –14 and S at 2. Point R partitions the directed line segment from Q to S in a 3:5 ratio. 

 

So R = x1 + 3/5 ( x2 – x1)

R = -14 + 3/5 ( 2 – (-14))

R = -4.4