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2 years ago

Write an equation in slope-intercept form that describes the line through the points (-2,6) and (3, 1).

Mathematics

1 answer:

vladimir1956 [14]2 years ago

3 0

Answer:

y=-x+4

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(1-6)/(3-(-2))

m=-5/(3+2)

m=-5/5

m=-1

y-y1=m(x-x1)

y-6=-1(x-(-2))

y-6=-(x+2)

y-6=-x-2

y=-x-2+6

y=-x+4

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A) The differential equation comes from the fact that the rate of temperature change is proportional to the difference in temperatures.
$\frac{dT}{dt} = \alpha(T -52)$

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D) Total time elapsed is 10 minutes, new temperature is 84
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E) Temperature function is:
$T = 35 e^{-.00896 t} +52$
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