Question

On a number line, P is at -4 and R is at 8. What is the coordinate of the point Q, which is 3/4 of the way from R to P?

a) -1
b) 0
c) 2
d) 4

Answer 1

The coordinate of point Q, which is 3/4 of the way from R at 8 to P at -4, is calculated by determining the distance between R and P (12), finding 3/4 of that distance (9), and moving that amount from R towards P. The coordinate of Q is -1.

Step-by-step explanation:

To find the coordinate of the point Q on a number line, which is 3/4 of the way from point R at 8 to point P at -4, you can use the following method:

Determine the distance between P and R:
Distance = R - P
Distance = 8 - (-4) = 12

Calculate 3/4 of this distance:
3/4 of distance = 3/4 \* 12 = 9

Find Q's coordinate by moving 3/4 of the way from R towards P:
Q's coordinate = R - (3/4 of distance)
Q's coordinate = 8 - 9 = -1

Therefore, the coordinate of point Q is -1, which corresponds to option a).