SOLUTION: Find the slope of the tangent line to the graph of the function at the given point. f(x) = −4x + 3 at (−1, 7) m= Determine an equation of the tangent line. y =

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Question 1160764: Find the slope of the tangent line to the graph of the function at the given point.
f(x) = −4x + 3 at (−1, 7)
m=
Determine an equation of the tangent line.
y =

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

The given function f(x) = -4x+3 is linear. A tangent line to any linear function is identical to the original line itself.

In other words, if f(x) is linear, then the tangent line is also f(x).

Therefore, m = -4 is the slope of the tangent line and y = -4x+3 is the tangent line.

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