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What is the distance between the points (2, -3) and (-6, 4) on the coordinate

plane?
A. 4.12 units
B. 3.87 units
C. 10.63 units
D. 8.06 units

1 Answer

6 votes

Answer:

C) 10.63 units.

Explanation:

To find the distance between any two points, we can use the distance formula:


d=√((x_2-x_1)^2+(y_2-y_1)^2)

We have the two points (2, -3) and (-6, 4). Let (2, -3) be (x₁, y₁) and let (-6, 4) be (x₂, y₂). Substitute:


d=√((-6-2)^2+(4-(-3))^2)

Simplify:


d=√((-8)^2+(7)^2)

Evaluate:


d=√(64+49)=√(113)\approx10.63\text{ units}

Our answer is C.

User Kobake
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