Question

60 POINTS!!! Please Help ASAP

Question:

Find the distance between the points (1, 4) and (-5, -4) on the coordinate plane. Show your work to justify your answer and earn full credit.

Answer 1

The distance is 10 units.

Step-by-step explanation

Let us use the distance formula to find the distance between,

`(x_1,y_1)=(1,4)`

and

`(x_2,y_2)=( - 5, - 4)`

The distance formula is given by,

`d = √((x_2-x_1)^2 + (y_2-y_1)^2)`

We plug in the values to get,

`d = √(( - 5-1)^2 + ( - 4-4)^2)`

`d = √(( -6)^2 + ( - 8)^2)`

`d = √(36+ 64)`

`d = √(100)`

`d = 10`