What is y-2=-2(x-3) In slope intercept form
1 answer:
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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
Answer:
Step-by-step explanation:
For this exercise it is necessary to remember the following:
1) The Distributive Property states the following:
2) The multiplication of signs:
Knowing this, and having the following expression given in the exercise:
You can apply the Distributive property multiplying and
, which are inside the parentheses, by
.
So, you get the following result: