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(Pythagorean Theorem and the Coordinate Plane MC)

Determine the length of the line segment shown.
Ty
10
486
-8-7-6-5-4-3-2-1
9
65
4
321
2
-2
-3
1 2 3 4 5 6 7 8
X

(Pythagorean Theorem and the Coordinate Plane MC) Determine the length of the line-example-1
User Fedcomp
by
7.9k points

1 Answer

5 votes

The length of the line segment shown is determined as 13.04 units.

How to calculate the length of the line segment shown?

The length of the line segment shown is calculated by applying the formula for the distance between two points;

D = √ [(x₂ - x₁)² + (y₂ - y₁)²]

The coordinate of the points of the line;

(x₁, y₁) = (-3, 10)

(x₂, y₂) = (4, -1 )

The length of the line segment shown is calculated as follows;

D = √ [(x₂ - x₁)² + (y₂ - y₁)²]

D = √ [(4 - -3)² + (-1 - 10)²]

D = √ [(7)² + (-11)²]

D = 13.04 units

User Ln E
by
8.0k points