Answer:
-4
Step-by-step explanation:
Y is the midpoint of XZ. We need to find the location of Z in the number line.
- Location of X = -26
- Location of Y = -15
We can either find the difference between X and Y, Y and Z and accordingly find the location. Or let's take the location of Z be m.
Then,
Distance between X and Y = Distance between Y and Z. Hence we can write:
Now substitute the values:
■ -26 - (-15) = -15 - m
[tex]\Rightarrow[/tex] -26 + 15 = -15 - m
[tex]\Rightarrow[/tex] -11 = -15 - m
[tex]\Rightarrow[/tex] m = -(-11 + 15)
[tex]\Rightarrow[/tex] m = -4
Therefore:
If we place Z at -4 in the number line. The distance between X and Y will be equal to the distance between Y and Z. That is, Y is midpoint of XZ.
