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posledela
3 years ago
12

Really need to someone to break this down so I can understand it

Mathematics
1 answer:
djyliett [7]3 years ago
4 0

Answer:

<u>Slope</u><u> </u><u>is</u><u> </u><u>4</u><u>/</u><u>3</u>

Step-by-step explanation:

Slope is the derivative of the equation:

y =  \frac{1}{3}  {x}^{2}  - 2x + 15 \\  \\  \frac{dy}{dx}  =  \frac{1}{3} (2x) - 2 + 0 \\  \\  \frac{dy}{dx}  =  \frac{2}{3} x - 2

At point (5, 7), x is 5:

\frac{dy}{dx}  =  (\frac{2}{3}  \times 5) - 2 \\  \\  \frac{dy}{dx}  =  \frac{10}{3}  - 2 \\  \\  \frac{dy}{dx}  =  \frac{10 - 6}{3}  \\    \\  \frac{dy}{dx}  =  \frac{4}{3}

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