Question

A grid shows the positions of a subway stop and your house. The subway stop is located at (–6, 1), and your house is located at (–2, –8). What is the distance, to the nearest unit, between your house and the subway stop?

Answer 1

You could always use the distance formula

\[d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\]

you have your 2 points

(-6,1) (-2,-8)
(x1,y1)(x2,y2)

plug those in and you'll find your distance

Answer 2

@FutureMathProfessor Can you help me?

Answer 3

\[\sqrt{(-6--2)^2+(1--8)^2}\] now simplify each parenthese
then square each
then add them together
then take the square root

Answer 4

what is -6 - (-2) ?

Answer 5

Use the pythagorean theorem. 4^2 + 9^2 = what^2

Answer 6

@Jim766 It's -4

Answer 7

-4 times -4 = 16

Answer 8

what is 1 - (-8) =

Answer 9

9

Answer 10

9*9=81

Answer 11

so now we have
\[\sqrt{16 + 81}\] add them together

Answer 12

Ohh, okay! 97 squared is 9.8

Answer 13

\[\sqrt{97} \approx 9.85\]

Answer 14

right,

Answer 15

you just plug it in and then do what it says

Answer 16

Awesome, thank you.

Answer 17

yw