Question

On a number line, the directed line segment from Q to S has endpoints Q at –8 and S at 12. Point R partitions the directed line segment from Q to S in a 4:1 ratio. Which expression correctly uses the formula to find the location of point R?

Answer 1

In a number line, the total distance from -8 to 12 is 20 units. If we divide this in a 4:1 ratio, then:

R-Q/S-12 = 4

since Q + S = 20, then, S = 20-Q

R-Q/(20-Q)-12 = 4
R-Q/8-Q = 4
R - Q = 4(8-Q)
R = 32 -4Q+Q
R = 32 - 3Q  <-- ANSWER

Answer 2

Answer: I believe it’s B on edge

Step-by-step explanation: