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3 years ago

Which equation in point slope form contains the points (-1,3) and (2,-2)

Mathematics

1 answer:

kolezko [41]3 years ago

4 0

The point-slope form:

$y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (-1, 3) and (2, -2). Substitute:

$m=\dfrac{-2-3}{2-(-1)}=\dfrac{-5}{2+1}=-\dfrac{5}{3}\\\\y-3=-\dfrac{5}{3}(x-(-1))\\\\\boxed{y-3=-\dfrac{5}{3}(x+1)}$

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Luba_88 [7]

Answer:

$P(t) = 100e^{0.0251t}$

The doubling time is of 27.65 minutes.

Step-by-step explanation:

Exponential equation of growth:

The exponential equation for population growth is given by:

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In which P(0) is the initial value and k is the growth rate.

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$450 = 100e^{60k}$

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$\ln{e^{60k}} = \ln{4.5}$

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