Question

The slope of the tangent line to the curve y = 2/x at the point (2, 1) is:

The equation of this tangent line can be written in the form y = mx + b where:
m is:
b is:

Answer 1

m = -2, b = 5

Explanation:

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Answer 2

y = 2/x

y' = -2/x² = -2/1² = -2

1 = -2(2) + b

1 = -4 + b

b = 5

y = -2x + 5

m = -2, b = 5