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Fynjy0 [20]
3 years ago
8

What is the equation of the line that passes through the points (-6,-18) and (-1,-8)

Mathematics
2 answers:
Ilya [14]3 years ago
8 0

Answer:

the desired equation is y = 2x - 6

Step-by-step explanation:

Moving from the point (-6, -18) to the point (-1, -8), we see that x increases by 5 (this is the 'run').  At the same time, y increases by 10 ("rise").  Thus, the slope of the line connecting these two points is m = rise / run = 10/5 = 2

Now use the slope-intercept form of the equation of a straight line:  y = mx + b.  Using the point (-1, -8), we substitute -1 for x and -8 for y, along with 2 for m.  Then:

-8 = 2(-1) + b.  We must find b.  Adding 2 to both sides yields -6 = b.

Thus, the desired equation is y = 2x - 6.

Lisa [10]3 years ago
5 0

Answer:

2x-6 is the equation

Step-by-step explanation:

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Step-by-step explanation:

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The electric cooperative needs to know the mean household usage of electricity by its non-commercial customers in kWh per day. A
vekshin1

Answer:

15.7-2.58\frac{2.3}{\sqrt{1731}}=15.6    

15.7+2.58\frac{2.3}{\sqrt{1731}}=15.8    

We are 99% confident that the true mean of electricity comsumption is between (15.6 and 15.8) kWh

Step-by-step explanation:

Information provided

\bar X= 15.7 represent the sample mean for the usage of electricity

\mu population mean (variable of interest)

\sigma= 2.3 represent the population standard deviation

n=1731 represent the sample size  

Confidence interval

The confidence interval for the mean is given by the following formula if we know the population deviation:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

The Confidence level provided is  0.99 or 95%, the value of significance is \alpha=0.01 and \alpha/2 =0.005, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.005,0,1)".And we see that z_{\alpha/2}=2.58

And replacing we got:

15.7-2.58\frac{2.3}{\sqrt{1731}}=15.6    

15.7+2.58\frac{2.3}{\sqrt{1731}}=15.8    

We are 99% confident that the true mean of electricity comsumption is between (15.6 and 15.8) kWh

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Consider the following relation:

Greatest common divisor (P,Q) ×  Least common multiple (P,Q) = Product of numbers P and Q

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Greatest common divisor (P,Q) ×  Least common multiple (P,Q) = PQ

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