An ofto of y = g(x) at x = 6 if g(6) = −3 g'(6) = 5. ( as an in of y x.)

The equation of tangent line is

Step-by-step explanation:

We need to find out the equation of tangent line.

Given :- g(6)=−3  and  g'(6)=  5

If  g(6)=−3

then the point on the line for the required tangent is  (6,−3)

If  g'(6)=  5

then the slope of the tangent at that point is  45

The tangent line can be specified by the slope-point form of the equation:

which in this case is

subtract both the sides by 3,

Therefore, the equation of tangent line is

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