The point-slope form of the equation for a line can be written as
... y = m(x -h) +k . . . . . . . for a line with slope m through point (h, k)
Your function gives
... f'(h) = m
... f(h) = k
a) The tangent line is then
... y = 5(x -2) +3
b) The normal line will have a slope that is the negative reciprocal of that of the tangent line.
... y = (-1/5)(x -2) +3
_____
You asked for "an equation." That's what is provided above. Each can be rearranged to whatever form you like.
In standard form, the tangent line's equation is 5x -y = 7. The normal line's equation is x +5y = 17.
Answer:

Step-by-step explanation:
<u>I will try to give as many details as possible. </u>
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Note that

The denominator can't be 0 because it would be undefined.
So, we can solve the expression inside both parentheses.

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Answer:
it would be 21
the only difference is that one is a negative and the other is a positive. The absolute value is the distance the number is from 0 on the number line.
hope i helped :)
9514 1404 393
Answer:
D
Step-by-step explanation:
The x-values are evenly-spaced, so any linear function table will have constant differences between the y-values. Here are the y-differences for the different options:
A 1, 2, 4
B 1, -1, 3
C -1, -2, 1
D 5, 5, 5 . . . . this represents a linear function