Question

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

Answer 1

Answer:

C) 10.63 units.

Step-by-step explanation:

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

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

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

$d=\sqrt{(-6-2)^2+(4-(-3))^2}$

Simplify:

$d=\sqrt{(-8)^2+(7)^2}$

Evaluate:

$d=\sqrt{64+49}=\sqrt{113}\approx10.63\text{ units}$

Our answer is C.