Question

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

Answer 1

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.