Question

Find the distance between the two points.

(-6, -7), (0, 0)
The distance between the two points is
units.

Answer 1

Explanation:

`\sf Given\begin{cases}\sf x_1=-6 ,y_1=-7\\ \sf x_2=0, y_2=0\end{cases}`

• We know that distance formula is
• √(x2-x1)^2+(y2-y1)^2
• 
  `\sf \rightarrowtail \: \sqrt{ {(0 + 6)}^(2) + {(0 + 7)}^(2) } \\ \sf \rightarrowtail \: \sqrt{ {(6)}^(2) + {(7)}^(2) } \\ \sf \rightarrowtail \: √(36 + 49 ) \\ \sf \rightarrowtail \: √(85) \\ \sf \rightarrowtail \: 9.2`

Answer 2

Hey there!

Distance formula:

d =
`\sqrt{(x_(2)-x_(1))+(y_(2)-y_(1)) }`

Plug in variables:

d =
`√((0-(-6))+(0-(-7)))`

Simplify.

d =
`√(6+7)`

d =
`√(13)`

The distance between the two points is
`√(13)` units.

Hope this helps!