The length of the segment = 7.2 units
Explanations:The distance between two points of coordinates (x₁, y₁) and (x₂, y₂) is given by the equation:
[tex]L\text{ = }\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]To find the length of the segment with endpoints (2, -1) and (-4, 3),
substitute x₁ = 2, y₁ = -1, x₂ = -4, y₂ = 3 into the equation above:
[tex]\begin{gathered} L\text{ = }\sqrt[]{(-4-2)^2+(3-(-1))^2} \\ L\text{ = }\sqrt[]{(-6)^2+(4)^2} \\ L\text{ = }\sqrt[]{36+16} \\ L\text{ = }\sqrt[]{52} \\ L\text{ = }7.2 \end{gathered}[/tex]The length of the segment = 7.2 units
