Question

Using the image, find the distance between the points given on the graph.

Answer 1

Answer: The exact distance is
`√(17)`

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Step-by-step explanation:

The two endpoints of the segment are (0,-2) and (4,-1)

So this means

(x1,y1) = (0,-2)

(x2,y2) = (4,-1)

Use the distance formula

`d = √((x_1 - x_2)^2 + (y_1 - y_2)^2)\\\\d = √((0-4)^2 + (-2-(-1))^2)\\\\d = √((0-4)^2 + (-2+1)^2)\\\\d = √((-4)^2 + (-1)^2)\\\\d = √(16 + 1)\\\\d = √(17) \ \text{ is the exact distance}\\\\ d \approx 4.1231056 \ \text{ is the approximate distance}\\\\`