Question

Explain the distance formula then use it to calculate the distance between A(1, 1)and B(7, -7)

Answer 1

The Distance Formula =
`\sqrt{( X_(2) - X_(1)) ^(2)+( Y_(2) - Y_(1)) ^(2)}`
A(1,1) ⇒ the first 1 is
`X_(1)` & the second 1 is
`Y_(1)` .
B(7,-7) ⇒ the first 7 is
`X_(2)` & the second is -7 is
`Y_(2)` .
Now all you have to do is SUBSTITUTE the variables into the distance formula to get:
`\sqrt{(7-1) ^(2)+(-7-1) ^(2)}` .
After you plug that formula into your graphing calculator (or solve it manually & mentally), you should end up with the answer 10, therefore d=10.