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fgiga [73]
3 years ago
11

Graph the following lines and write the equation in slope-intercept form. Through the point (2,−4) with y-intercept of −2.

Mathematics
1 answer:
CaHeK987 [17]3 years ago
3 0

For this case we have that by definition, the equation in the form of slope-intersection is given by:


y = mx + b

Where

  • m is the slope
  • b is the cut point

Substituting the given point: (x, y) = (2, -4) and the cutoff point b = -2 we can find the slope,


We have:


-4 = m * 2-2\\-4 = 2m-2\\-4 + 2 = 2m\\-2 = 2m

m =-\frac{2}{2}\\m = -1

Thus, the equation is given by:


y = -x-2

Answer:


y = -x-2

See attached image


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Step-by-step explanation:

Previous concepts

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Solution to the problem

Let X the random variable that represent the number of children per fammili of a population, and for this case we know the following info:

Where \mu=2.5 and \sigma=1.7

We select a sample of n =64 >30 and we can apply the central limit theorem. From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And for this case the standard error would be:

\sigma_{\bar X} = \frac{1.7}{\sqrt{64}}= 0.2125

6 0
3 years ago
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