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2 years ago

6

If the tangent line to y = f(x) at (7, 4) passes through the point (0, 3), find f(7) and f '(7).

1 answer:

jarptica [38.1K]2 years ago

4 0

Hello :
f'(7) = the slope of the tangent line : let A(7,4) B(0,3)<span>
<span>the slope is : (YB - YA)/(XB -XA)= (3-4)/(0-7) = -1/-7 = 1/7=f'(7)
the equation of the tangent line is :
y-3 = 1/7 (x-0)
y = (1/7)x+3
the line tangent and the graph of : f </span></span><span>passes through the point A(7, 4)
x= 7 y=4 so : f(7) =4</span>

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