Question

The length between (3, 8) and (-2, -4) is ______?

Answer 1

Answer:

4,4

Step-by-step explanation:

Answer 2

Answer:
13 units

Explanation:
The formula used to find the distance between two points is known as the distance formula. The distance formula states that d = √((x₂ - x₁)² + (y₂ - y₁)²).

Let’s find the variables. Given that the points are (3, 8) and (-2, -4), we can say that

x₁ = 3
y₁ = 8
x₂ = -2
y₂ = -4

Let’s substitute these values into the distance formula.

d = √((-2 - 3)² + (-4 - 8)²)

Let’s simplify this.

-2 - 3 is -5, and -4 - 8 is -12.

d = √((-5)² + (-12)²)

(-5)² is 25, and (-12)² is 144.

d = √(25 + 144)

25 + 144 is 169.

d = √169

√169 is 13.

d = 13

Since d = 13, we know that the distance between the points (3, 8) and (-2, -4) is 13 units.