Answer: The correct option is (C) √53 units.
Step-by-step explanation: We are given to find the length of the line segment XY in the graph.
We know that the length of a line segment is equal to the distance between its end points.
DISTANCE FORMULA: The distance between two points with co-ordiantes (a, b) ad (c, d) is given by
[tex]D=\sqrt{(c-a)^2+(d-b)^2}.[/tex]
From the graph, we note that
the co-ordinates of the point X are (-4, 0) and the co-ordinates of the point Y are (3, 2).
Therefore, the distance between the points X and Y is given by
[tex]D\\\\=\sqrt{(3-(-4))^2+(2-0)^2}\\\\=\sqrt{7^2+2^2}\\\\=\sqrt{49+4}\\\\=\sqrt{53}.[/tex]
So, the length of the line segment XY is √53 units.
Option (C) is correct.
