Question

12. Find the distance between points P(-1, 2) and Q(-3, 4).​

Answer 1

D=2.82

Explanation:

Here we are given with two coordinates and asked to determine the distance between them.

Here we are going to use the distance formula, which is given as under

`D=√((y_2-y_1)^2+(x_2-x_1)^2)`

Where

`(x_1,y_1) = (-1,2)`

`(x_2,y_2) = (-3,4)`

Replacing these values in the distance formula

`D =√((-1-(-3))^2+(2-4)^2)`

`D =√((-1+3)^2+(-2)^2)`

`D =√((2)^2+4)`

`D =√(4+4)`

`D =√(8)`

`D= 2.8284`

Hence the Distance is 2.82 units