Answer:
13 units
Step-by-step 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.