Find the equation of the line tangent to the graph of f at the indicated value of x.
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A) y = 5x - 4
B) y = 4x + 4
C) y = 5x + 4
D) y = 5x + 5

Question

Find the equation of the line tangent to the graph of f at the indicated value of x.
-
A) y = 5x - 4 
B) y = 4x + 4 
C) y = 5x + 4 
D) y = 5x + 5

Quizplus · Accepted Answer

From the graph, we can see that the tangent line at the point x=4 will have a slope of 5. Using the point-slope form of a line and plugging in the point (4,24), we get y-24 = 5(x-4), which simplifies to y=5x+4. Therefore, choice C is the correct equation for the tangent line.

Find the Equation of the Line Tangent to the Graph