Question

If W(4,6) and V(-3,-2) what is the length of VW

Answer 1

Answer:

The length of VW = √113 units

Step-by-step explanation:

Distance formula

LetA(x₁, y₁) and B(x₂, y) be the two coordinates the

Length of AB = √(x₂ - x₁)² + (y₂ - y₁)²

To find Length of  VW

Here W(4,6) and V(-3,-2)

VW = √(x₂ - x₁)² + (y₂ - y₁)²

= √[(-3 -4)² + (-2 - 6)²]

= √[(-7)² + (-8)²] = √(49 + 64) = √113

Therefore the length of VW = √113 units

Answer 2

Answer:

$\large\boxed{VW=\sqrt{113}}$

Step-by-step explanation:

The formula of a distance between two points:

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

We have the points W(4, 6) and V(-3, -2). Substitute:

$VW=\sqrt{(-3-4)^2+(-2-6)^2}=\sqrt{(-7)^2+(-8)^2}=\sqrt{49+64}=\sqrt{113}$