What is the slope of the line represented by the equation y=- 5x? 0-5 or w/N wind 5

Mathematics

1 answer:

Alexandra [31]3 years ago

5 0

Answer:

the slope would be -5

Step-by-step explanation:

in linear equations, the slope of the line is the coefficient of x

so in this case, it is -5

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Find a1, for the arithmetic series with S14 = - 420 and d = -6.

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$\bf \textit{sum of a finite arithmetic sequence} \\\\ S_n=\cfrac{n(a_1+a_n)}{2}\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{last term's}\\ \qquad position\\ a_1=\textit{first term}\\ \cline{1-1} n= 14\\ S_{14}=-420\\ a_{14}=a_1-78 \end{cases}\implies S_{14}=\cfrac{n(a_1+a_{14})}{2} \\\\\\ -420=\cfrac{14[a_1+(a_1-78)]}{2}\implies -420=7(2a_1-78)\implies \cfrac{-420}{7}=2a_1-78 \\\\\\ -60=2a_1-78\implies 18=2a_1\implies \cfrac{18}{2}=a_1\implies 9=a_1$

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Answer:

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