Question

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

Answer 1

The answer is 10 units.

Answer 2

Answer:

The distance between A=(1,1) and B=(7,-7) is 10.

Step-by-step explanation:

If you have two points $A=(x_{1},y_{1})$ and $B=(x_{2},y_{2})$ the distance between those points is  the length of the segment that separates them. And the formula of that distance is:

$d(A,B)=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Then the distance between A=(1,1) and B=(7,-7) is:

$x_{1}=1\\y_{1}=1\\x_{2}=7\\y_{2}=-7$

$d(A,B)=\sqrt{(7-1)^2+((-7)-1)^2}\\d(A,B)=\sqrt{6^2+(-8)^2}\\d(A,B)=\sqrt{36+64}\\ d(A,B)=\sqrt{100} \\d(A,B)=10$

The distance between A=(1,1) and B=(7,-7) is 10.