Question

7. Points P, Q, R, and S are located on line l. Their corresponding coordinates areP=-3.78, Q=-1.35, R = 0.56, and S= 2.87. Find each of the following distances:a) PRb) RQc) PSd) QS

Answer 1

a) PR = 2.43 units

b) RQ = 1.91 units

c) PS = 6.65 units

d) QS = 4.22 units

Step-by-step explanation

The question wants us to find the distances between the given points just from the information on the coordinates of those points given.

One thing to note is that to find the distances between two points on the same line, A and B is usually given as

AB = (Coordinates of B) - (Coordinates of A)

So,

a) PR = (Coordinates of R) - (Coordinates of P)

= -1.35 - (-3.78)

= -1.35 + 3.78

= 2.43 units

b) RQ = (Coordinates of Q) - (Coordinates of R)

= 0.56 - (-1.35)

= 0.56 + 1.35

= 1.91 units

c) PS = (Coordinates of S) - (Coordinates of P)

= 2.87 - (-3.78)

= 2.87 + 3.78

= 6.65 units

d) QS = (Coordinates of S) - (Coordinates of Q)

= 2.87 - (-1.35)

= 2.87 + 1.35

= 4.22 units

Hope this Helps!!!