Question

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

Answer 1

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

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

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:

`\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}`

The length of PQ (exact) is:

`2\sqrt[]{41}`

In decimal: 12.81