Question

Find the distance between (6,0) and (4,1)

Answer 1

Hi :)
Use the distance formula to find the distance between (6,0) and (4,1)
\[\huge d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\]

Answer 2

ok what's next

Answer 3

\[\huge d=\sqrt{(4-6)^2+(1-0)^2}\]
Solve from here :)

Answer 4

4-6=-2
1-0=1

Answer 5

Good job :) Another method would be the on @UnkleRhaukus has shown.
\[\huge d=\sqrt{(4-6)^2+(1-0)^2}\]
\[\huge d=\sqrt{(-2)^2+(1)^2}\]
-2^2=?
1^2=?

Answer 6

Oh I am not a fan of the graphing method it seems difficult :/
-2^2=4
1^2=1

Answer 7

Ok good so far! Almost done ^_^
\[\huge d=\sqrt{4+1}\]
4+1=?

Answer 8

5

Answer 9

\[\huge d=\sqrt{5}\]
I suggest you leave it in this form :) unless your teacher asked for decimal form!

Answer 10

Do you understand?

Answer 11

Yes Thx you soooo much! Thanks for explaining and not giving the answer btw

Answer 12

yw
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Answer 13

The formula comes from pythagorus, where the sides of the triangle are the difference in co-ordinate values, the distance is the hypotenuse.