Question

Reason the coordinate of point M on a number line is 11. If MN=12, what are the possible coordinates for N on the number line?

a) N can be at -1 or 23
b) N can be at -12 or 1
c) N can be at -23 or 1
d) N can be at 1 or 23

Answer 1

The coordinate of point M is 11, and MN equals 12. The possible coordinates for point N are -1 or 23, depending on whether N is to the left or right of M on the number line.

Step-by-step explanation:

The coordinate of point M on a number line is 11. Since the distance MN equals 12, to find the possible coordinates for point N, we consider two scenarios: either N is to the right of M or to the left of M.

1. If N is to the right of M, we add the distance to the coordinate of M: 11 + 12 = 23. Therefore, one possible coordinate for N is 23.
2. If N is to the left of M, we subtract the distance from the coordinate of M: 11 - 12 = -1. Therefore, the other possible coordinate for N is -1.

Thus, the possible coordinates for N on the number line are either -1 or 23.