Question

Use the distance formula to determine the distance between (-8,10) and (-6,7)

Answer 1

Distance:
`√(13)` units

Explanation:

The distance formula is
`d=√((x_2-x_1)^2+(y_2-y_1)^2)` where:

• 
  `d` is the distance between points
  `(x_1,y_1)` and
  `(x_2,y_2)`
• 
  `(x_1,y_1)` are the coordinates of the first point
• 
  `(x_2,y_2)` are the coordinates of the second point

We are given that:

• 
  `(x_1,y_1)=(-8,10)`
• 
  `(x_2,y_2)=(-6,7)`

To determine the value of our distance,
`d`, we plug in our given information into the formula and solve for

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

`d=√((-6-(-8))^2+(7-10)^2)`

`d=√((-6+8)^2+(-3)^2)`

`d=√((2)^2+(-3)^2)`

`d=√(4+9)`

`d=√(13)`

Therefore, the distance between
`(-8,10)` and
`(-6,7)` is
`√(13)` units.

See the attached graph for a visual.