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Question

Find the length of the line segment connecting each pair of points. a. (1, 3), (6, 3) b. (-4, 2), (1, 2) c. (7, -5), (7, -3) d. (-8, -4), (8, -4)

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 4**(a).** To find the length, we need to get the distance between the two points $(1,3)$ and $(6,3)$. Then we have

$\begin{aligned} \text{distance}&=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\ &=\sqrt{(6-1)^2+(3-3)^2}\\ &=\sqrt{5^2+0^2}\\ &=\sqrt{25}\\ &=\pm 5 \end{aligned}$

Hence, the length between the two points $(1,3)$ and $(6,3)$ is $5$ units.

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