The distance between the points (-6, 2) and (-4, 7) is 5.4 units.
What is the distance formula?
The distance between any two points (x₁, y₁) and (x₂, y₂) can be determined using the distance formula according to which,
Distance = √((x₂ - x₁)² + (y₂ - y₁)²).
How do we solve the given question?
We are asked to find the distance between the points (-6, 2) and (-4, 7).
We will determine the distance using the distance formula, by which
Distance = √((x₂ - x₁)² + (y₂ - y₁)²)
or, Distance = √(((-4) - (-6))² + (7 - 2)²)
or, Distance = √((-4 + 6)² + (7 - 2)²) = √(2² + 5²) = √(4 + 25) = √29
∴ Distance = √29 = 5.385165 = 5.4 (rounding to the nearest tenth).
∴ The distance between the points (-6, 2) and (-4, 7) is 5.4 units.
Learn more about the Distance Formula at
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