Question: What is the slope of the diameter AB of the circle shown in the graph?

A ) - 2
B ) 1
C ) - 1
D ) 0

Steps to derive

1 Let A(2, 2) be (x₁, y₁) and B(- 2, - 2) be (x₂, y₂).

2 Let m be the slope of the diameter.

3 m = y2-y1x2-x1

 [Substitute the values of x₁, y₁, x₂ and y₂.]
4 m = (-2-2)(-2-2)

 [Simplify the fraction.]
5 m = 1

6 The slope of the diameter AB is 1.



Hence the right answer is Option B

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