2 years ago

Write the following equation in slope intercept form. y – 3 = -2 (x -5)

Mathematics

1 answer:

hodyreva [135]2 years ago

6 0

Y-3=-2(x-5)
y-3=-2x+10
y=-2x+13
hope this helps :)

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Answer:

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Step-by-step explanation:

Let suppose that function $f$ is continuous and integrable in the given intervals, by integral definition of average we have that:

$\frac{1}{3-(-2)} \int\limits^{3}_{-2} {f(x)} \, dx = -6$ (1)

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By Fundamental Theorems of Calculus we expand both expressions:

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We obtain the average value of $f$ over the interval $[-2, 5]$ by algebraic handling:

$F(5) - F(3) +[F(3)-F(-2)] = 40 + (-30)$

$F(5) - F(-2) = 10$

$\frac{F(5)-F(-2)}{5-(-2)} = \frac{10}{5-(-2)}$

$\bar f = \frac{10}{7}$

The average value of $f$ over the interval $[-2,5]$ is $\frac{10}{7}$ .

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