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marin [14]
3 years ago
14

Write the slope-intercept form of the equation of the line through the given point (5, -2) and (0, -5)

Mathematics
1 answer:
Margaret [11]3 years ago
4 0

\bf (\stackrel{x_1}{5}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{-5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-5}-\stackrel{y1}{(-2)}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{5}}}\implies \cfrac{-5+2}{-5}\implies \cfrac{-3}{-5}\implies \cfrac{3}{5}

\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-2)}=\stackrel{m}{\cfrac{3}{5}}(x-\stackrel{x_1}{5}) \\\\\\ y+2=\cfrac{3}{5}x-3\implies y=\cfrac{3}{5}x-5

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Answer:

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Step-by-step explanation:

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5 0
3 years ago
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seraphim [82]

Answer:

one to one function

Step-by-step explanation:

f(x)=6x+1 can only be a one to one function when x1=x2

Now,

f(x1)=f(x2)

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or, 6x1 = 6x2

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4 0
2 years ago
A survey is planned to estimate the proportion of voters who support a proposed gun control law. The estimate should be within a
laila [671]

Complete Question

A survey is planned to estimate the proportion of voters who support a proposed gun control law. The estimate should be within a margin of error of ±5% with 90% confidence, and we do not have any prior knowledge about the proportion who might support the law. How many people need to be included in the sample?

Round your answer up to the nearest integer.

sample size = _____

Answer:

The sample size is n = 271    

Step-by-step explanation:

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Generally given that there was no prior knowledge about the proportion of who might support the law, we will assume the sample proportion to be  

     \^ p =  0.5

From the question we are told the confidence level is  90% , hence the level of significance is    

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=>   \alpha = 0.05

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.645

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=>   n = [\frac{1.645 }{0.05} ]^2 * 0.5 (1 - 0.5 )

=>   n = 271    

5 0
3 years ago
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Luba_88 [7]
The price of the new stock would $5.25 because you have to add the $4.75 and $0.50 to find the new price
7 0
3 years ago
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