Answer: 0.2 units
Step-by-step explanation:
Since the x-values are the same, we can find the absolute value of the difference in the y-coordinates.
|2.7 - 2.5| = 0.2
We will use the distance formula to confirm our answer.
Distance formula:
[tex]\displaystyle d=\sqrt{(x_{2}-x_{1})^2 +(y_{2}-y_{1})^2}[/tex]
Substitute known points:
[tex]\displaystyle d=\sqrt{(4-4)^2 +(2.7-2.5)^2}[/tex]
Subtract:
[tex]\displaystyle d=\sqrt{(0)^2 +(0.2)^2}[/tex]
Square:
[tex]\displaystyle d=\sqrt{0 +0.04}[/tex]
Add:
[tex]\displaystyle d=\sqrt{0.04}[/tex]
Square root:
[tex]\displaystyle d=0.2[/tex]
