Question

What is the distance between the points (-1, 8) and (4.8) in the coordinate plane?

Answer 1

To find the distance between any points:

 ⇒ we must know the distance formula

     ⇒ Distance Formula: $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 } }$

• $(x_{1} ,y_{1} )$ --> (-1,8)
• $(x_{2} ,y_{2} )$ --> (4,8)

Let's Solve:

    Distance Formula = $\sqrt{(4--1)^2+(8-8)^2} =\sqrt{5^2} =\sqrt{25}$ = 5

Thus the distance between the points is 5

Hope that helps!