Question

What is the distance between the two points graphed? It's (2,4) and (-1,-3)

Answer 1

7.6

Answer 2

\[d=\sqrt{(x_{2}-x _{1})^{2}+(y_{2}-y _{1})^{2}}\]

Answer 3

Another way of understanding the distance formula is by Pythagorean theorem. The two points make a slope, and if we use the vertical height and horizontal length as legs of a triangle (like when we look at slope as rise/run), the distance we want is the hypotenuse of that right triangle.