Answered

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Given the line segment with points P (1,6) andQ (9,-4). What is the length of PQ?(2 Points)

Sagot :

When 2 coordinate points are given, we can find its length by using the distance formula. Which is

[tex]\sqrt[]{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

We

• take differences in y coordinates and x coordinates

,

• square them

,

• take their sum

,

• take square root of the answer

Tha's all.

So, let's do the steps:

y diff: -4 -6 = -10

x diff: 9-1 = 8

Now, it becomes:

[tex]\begin{gathered} \sqrt[]{(y_2-y_1)^2+(x_2-x_1)^2} \\ =\sqrt[]{(-10)^2+(8)^2} \\ =\sqrt[]{164} \\ =2\sqrt[]{41} \end{gathered}[/tex]

The length of PQ (exact) is:

[tex]2\sqrt[]{41}[/tex]

In decimal: 12.81

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