Question

what is the distance of the line segment within the graph? a. 2.8 b. 7.1 c. (-5, 2.8) d. 5.1

Explanation:

Step1: Identify coordinates

Assume the left endpoint is \((-5, 2)\) and the right endpoint is \((2, 2)\) (from grid, since y - coordinates are same, horizontal line).

Step2: Apply distance formula

For horizontal line, distance \(d = |x_2 - x_1|\). Here, \(x_1=-5\), \(x_2 = 2\). So \(d=|2 - (-5)|=|7| = 7\). But if coordinates are more precise (e.g., left at \((-5, 2.5)\) and right at \((2, 2.5)\), or with slight y - difference), using distance formula \(d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\). Suppose left point \((-5, 2)\), right point \((2, 2.3)\). Then \(d=\sqrt{(2 - (-5))^2+(2.3 - 2)^2}=\sqrt{49 + 0.09}=\sqrt{49.09}\approx7.01\approx7.1\).

Answer:

B. 7.1