Question

what is the length of line de? * (15 points)
√17
2√2
√5
3√3

Explanation:

Step1: Find coordinates of D and E

Assume each grid is 1 unit. From the graph, \(D(-1,-2)\) and \(E(-4,0)\)

Step2: Use 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 \(x_1=-1,y_1 = -2,x_2=-4,y_2=0\) into the formula:

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Answer:

\(\sqrt{13}\)