## MarilynReyes 2 years ago Find the distance between the points (2, -5) and (-3, 0)

1. amistre64

2. amistre64

what do we get when we subtract one point from the other? (2,-5) - (-3,0) -------- ? , ?

3. MarilynReyes

-1, -5 ???

4. amistre64

close; 2 - - 3 = 5 so lets go with 5, -5 :) what do we get when we square each of those values?

5. amistre64

there are 4 steps in all, we are at #2 :)

6. MarilynReyes

so it's 5, -5 over 2, 2

7. amistre64

no, lets focus on squaring the parts that we found: 5, -5 would you agree that this squares to 25,25 ?

8. amistre64

the formula for distance is generally stated as:$d=\sqrt{(x-x_o)^2+(y-y_o)^2}$ i tend to put the wrong parts in the wrong places so I like to step thru it: subtract square add sqrt

9. amistre64

given 2 point: (x,y) and (xo,yo) step1: subtract ( x, y ) - (xo,yo) --------- x-xo, y-yo step2: square (x-xo)^2 , (y-yo)^2 step3: add (x-xo)^2 + (y-yo)^2 step 4: sqrt sqrt((x-xo)^2 + (y-yo)^2) which is how the formula is developed.