Write a response to the following using Claim, Evidence, Reasoning.
1 answer:
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y = x + 3 → B
subtract 5x from both sides
- 3y = - 5x - 9 ( multiply through by ( - 1 ) )
3y = 5x + 9 ( divide all terms by 3 )
y = x + 3 ( in slope- intercept form )
Answer:
(a) f'(1)=-4
(b) y+4x-4=0
Step-by-step explanation:
<u>Tangent Line of a Function</u>
Given f(x) a real differentiable function in x=a, the slope of the tangent line of the function in x=a is given by f'(x=a). Where f' is the first derivative of f.
We are given
The derivative is
(a) The slope of the tangent line at (1,0) is
(b) The equation of the tangent line can be found with the general formula of the line:
Where m is the slope and the point (xo,yo) belongs to the line. We have m=-4, xo=1, yo=0, thus
Or, equivalently