Question

Line segment AB is on the coordinate plane and has endpoints at A(6, 7) and B(0, 3). What is the length of the line segment to the nearest hundredth?

Answer 1

Using the distance formula, the length of the line segment AB is: C. 7.21 units.

The Distance Formula

To find the length of a line segment, use the distance formula given as, $d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}$.

Given:

• A(6, 7)
• B(0, 3)

Let,

A(6, 7) = (x1, y1)

B(0, 3) = (x2, y2)

Thus:

$AB = \sqrt{(3 - 7)^2 + (0 - 6)^2}\\\\AB = \sqrt{52} \\\\\mathbf{AB = 7.21 units}$

Therefore, using the distance formula, the length of the line segment AB is: C. 7.21 units.

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