To find the distance between two points \((-3,-2)\) and \((-8, -2)\) in a 2D coordinate plane, we use the distance formula:
1. The distance formula is:
d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
2. Substitute the given points \((-3, -2)\) and \((-8, -2)\) into the formula:
d = \sqrt{((-8) - (-3))^2 + ((-2) - (-2))^2}
3. Simplify the expression inside the square root:
d = \sqrt{(-8 + 3)^2 + (0)^2}
d = \sqrt{(-5)^2 + 0}
4. Calculate:
d = \sqrt{25}
5. Hence, the distance between the points is:
5 units