Answer: Third option.
Step-by-step explanation:
You need to use the formula for calculate the distance between two points. This is:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
You can observe in the graph that the coordinates of the point X and the point Y are the following:
X(-4,0) and Y(3,2)
Knowing this, you can substitute the coordinates into the formula.
You get that the lenght of the segment XY is:
[tex]d_{(XY)}=\sqrt{(3-(-4))^2+(2-0)^2}\\\\d_{(XY)}=\sqrt{53}\ units[/tex]
This matches with the third option.
