Answer:
The distance is √ 85 units
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