Question

What is the exact distance from (-1,4) to (6,-2

Answer 1

Answer:

The distance is √ 85 units

Step-by-step explanation:

To find the exact value, all we will simply do is to use the distance formula to solve;

D =√ (x₂ - x₁)²  +  (y₂ - y₁)²

From the question given;

The points given are  (−1, 4)  and (6, −2)

so;   x₁  = -1         y₁ = 4      x₂ = 6      y₂ = -2

We can now proceed to substitute the formula into the equation

D = √ (x₂ - x₁)²  +  (y₂ - y₁)²

   =√ (6 - -1)²  +  (-2 - 4)²

   =√ (6+ 1)²  +  (-2 - 4)²

   =√ (7)²  +  (-6)²

   =√ 49  +  36

   =√ 85

    The distance is √ 85 units