Answer:
StartRoot 53 EndRoot units
XY = √53
Step-by-step explanation:
Choose which is point 1 and point 2 so you don't confuse the coordinates.
Point 1 (–4, 0) x₁ = –4 y₁ = 0
Point 2 (3, 2) x₂ = 3 y₂ = 2
Use the formula for the distance between two points.
[tex]L = \sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2}}[/tex]
[tex]XY = \sqrt{(3-(-4))^{2} + (2-0)^{2}}[/tex]
[tex]XY = \sqrt{49 + 4}[/tex]
[tex]XY = \sqrt{53}[/tex]
Therefore the line of segment XY is √53.
