Question

You found some, but not all, of the correct numbers.

Suppose that Y and Z are points on the number line.
If YZ= 7 and Y lies at 4, where could Z be located?
If there are several locations, separate them with commas.

Answer 1

Z=-3 or Z=11

Explanation:

we know that

The distance between point Y and point Z is 7 units

The point Y is located on the number line at 4

we have two possibilities

The point Z could be located to the right of point Y

The point Z could be located to the left of point Y

so

Z is either 7 units to the left of 4 or 7 units to the right of 4

First case

point Z to the right of point Y

To find out the coordinate of point Z sum the distance YZ to the coordinate of point Y

so

(4+7)=11

therefore

The first possibility is

Point Z is located at 11

Second case

point Z to the left of point Y

To find out the coordinate of point Z subtract the distance YZ from the coordinate of point Y

so

(4-7)=-3

therefore

The second possibility is

Point Z is located at -3

therefore

Z=-3 or Z=11