Question

Distance Between Two Points
Find the distance between the pair of points: (-1,-6) and (3,-6).

Answer 1

Distance = 4 units

Explanation:

Points:

(-1,-6) and (3,-6).

Solution:

We will use Distance formulae,

`\rm \: D= \sqrt{(x_2 - x_1) {}^(2) + (y_2 - y_1) {}^(2) }`

• 
  `(x_2,x_1) = (3,-1)`
• 
  `(y_2,y_1) = (-6,-6)`

Substituting,

• 
  `\rm D = \sqrt{ \{(3 - ( - 1) \} {}^(2) + \{( - 6) - ( - 6) \} {}^(2) }`
• 
  `D = \sqrt{(3 + 1) {}^(2) + \{ - 6 + 6 \}^2 }`
• 
  `D = \sqrt{4 {}^(2) + 0 {}^(2) }`
• 
  `D = √(16)`
• 
  `D = √(4 * 4)`
• 
  `\rm \: D = 4`

Distance is 4 units.