Question

teacher:flood class:flood 6th period
student andino, janessa
find the length of the
line sement.
round to the nearest
tenth if needed.
ok

Explanation:

Step1: Identify coordinates

Let's assume the starting point of the red line segment is at \((-3, -1)\) and the ending point is at \((2, -4)\) (by counting grid squares).

Step2: Apply distance formula

The distance formula between two points \((x_1, y_1)\) and \((x_2, y_2)\) is \(d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\).
Substitute \(x_1 = -3\), \(y_1 = -1\), \(x_2 = 2\), \(y_2 = -4\):
\(d = \sqrt{(2 - (-3))^2 + (-4 - (-1))^2}\)
\(d = \sqrt{(5)^2 + (-3)^2}\)
\(d = \sqrt{25 + 9}\)
\(d = \sqrt{34}\)
\(d \approx 5.8\) (rounded to the nearest tenth)

Answer:

\(5.8\) (or \(\sqrt{34}\) if not rounded)