Question

What is the distance between the points shown? Show your work.

Round your answer to the nearest tenth.

Answer 1

8.3 units

Explanation:

To find the distance between the two points, use the distance formula.

Distance =
`√((x-x)^2+(y-y)^2)`

(x, y)

(-1.5, 4)

(-5, -3.5)

`√((x-x)^2+(y-y)^2)` - Formula

`√((-1.5--5)^2+(4--3.5)^2)` - Plug in values

`√((3.5)^2+(7.5)^2)` - Simplify parenthesis

`√(12.25+56.25)` - Simplify

`√(68.5)` = 8.27647267862 = 8.3