Question

Find the length of a segment with endpoint at (2, -1) and (-4, 3). Round your answer to the nearest tenth. (1 decimal place)

Answer 1

Answer:

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:

`L\text{ = }\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}`

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:

`\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}`

The length of the segment = 7.2 units