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what is the midpoint of the segment \\( \\overline{ab} \\) shown in the…

Question

what is the midpoint of the segment \\( \overline{ab} \\) shown in the graph?
a. \\( (0,-1) \\)
b. \\( (-1.5,0) \\)
c. \\( (-1,0) \\)
d.

Explanation:

Step1: Determine coordinates of A and B

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

Step2: Use mid - point formula

The mid - point formula is \((\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})\).
Substitute \(x_1=-3,y_1 = 3,x_2=1,y_2=-3\) into the formula:

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Answer:

C. \((-1,0)\)