Question

based on the image, what is the distance between points a and b?
note: your answer should be in radical form, so make sure you use the square root option!
distance =

Explanation:

Step1: Identify coordinates

From the graph, assume \(A(-2,-1)\) and \(B(3,2)\).

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 \(x_1=-2,y_1 = - 1,x_2=3,y_2=2\) into the formula:

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Answer:

\(\sqrt{34}\)