Question

What is the length of a line segment joining the points (5, -1) and (10, -1)

Answer 1

The two points have the same y value, so it is a horizontal line. Between 5 and 10, the distance is 5.

Answer 2

Answer:

Let A = (5, -1) (x1, y1)

Let B = (10, -1) (x2, y2)

Length AB =

$= \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} }$

$= \sqrt{ {(10 - 5)}^{2} + {( - 1 + ( - 1))}^{2} }$

$\\ = \sqrt{ {(5)}^{2} + {( - 2)}^{2} }$

$= √25 - 4$

$= √21$

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