Question
Asked Dec 14, 2019
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Find the slope and the equation of the tangent line to the graph of the function at the given point. 

f(x)= -2x +5 (-1,7)

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Expert Answer

Step 1

Given,

f(x)= -2x +5 and the point (1-,7)

Step 2

The slope of the tangent line is given by its first derivative of  f(x),

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S (x)=-2+0=-2 ie., m = -2

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Step 3

Therefore, the equation of the tangent line passing through (x1,y1)=(1,-7) and has ...

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(y– y,) = m(x-x;) y-. (y+7)=-2(x-1) y + 7 = -2+2 y =-2x – 5

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