Question

Find the distance between the following points using pythagorean theorem: (-5,4) and (8,-3)

Answer 1

To solve the exercise it is convenient to graph the points first:

You can see that vertically there are 7 units of the distance between point A and point B:

`\begin{gathered} A(x_1,y_1)=(-5,4) \\ B(x_2,y_2)=(8_{},-3_{}) \\ y_1-y_2=4-(-3)_{}=4+3=7 \end{gathered}`

And you can see that horizontally there are 13 units of the distance between point A and point B:

`x_2_{}-x_1=8-(-5)_{}=8+5=13`

Now, you can use the Pythagorean Theorem: