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valentina_108 [34]
3 years ago
15

What is the slope of the line graphed on the coordinate plane?

Mathematics
2 answers:
maria [59]3 years ago
7 0
Rise: 8 Run: -2

8/2

Have a nice day!
stellarik [79]3 years ago
3 0

Answer:

slope = - 8

Step-by-step explanation:

pass (0,6) (1,-2)

slope: (-2 - 6) / (1 - 0) = - 8

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Answer:  7\text{Ln}\left(e^{2x}+10\right)+C

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=======================================================

Explanation:

Start with the equation u = e^{2x}+10

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u = e^{2x}+10\\\\\frac{du}{dx} = 2e^{2x}\\\\7\frac{du}{dx} = 7*2e^{2x}\\\\7\frac{du}{dx} = 14e^{2x}\\\\7du = 14e^{2x}dx\\\\

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This way we can do the following substitutions:

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\displaystyle 7\int \frac{1}{u}du\\\\\\7\text{Ln}\left(u\right)+C\\\\\\7\text{Ln}\left(e^{2x}+10\right)+C\\\\\\

Be sure to replace 'u' with e^(2x)+10 since it's likely your teacher wants a function in terms of x. Also, do not forget to have the plus C at the end. This is a common mistake many students forget to do.

To verify the answer, you can apply the derivative to it and you should get back to the original integrand of \frac{14e^{2x}}{e^{2x}+10}

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