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soldier1979 [14.2K]
3 years ago
13

What is the slope of the line show belowww

Mathematics
2 answers:
zaharov [31]3 years ago
7 0

Answer:

\boxed{C.\:\: 2}

Step-by-step explanation:

The given line passes through the points,


(x_1,y_1)=(-2,-3) and (x_2,y_2)=(3,7).


We can find the slope using the following;

m=\frac{y_2-y_1}{x_2-x_1}


or


m=\frac{y_1-y_2}{x_1-x_2}


Using the first formula;


We obtain;

m=\frac{7--3}{3--2}


\Rightarrow m=\frac{7+3}{3+2}


\Rightarrow m=\frac{10}{5}


\Rightarrow m=2


The correct answer is C.

PIT_PIT [208]3 years ago
5 0

Answer:

c 2

Step-by-step explanation:

We know 2 points.

The slope of the line is given by

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

  =(7--3)/(3--2)

   = (7+3) / (3+2)

   = 10/5

   =2

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Solution given

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Step-by-step explanation:

Ig, hope it helps

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2 years ago
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vampirchik [111]
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Read 2 more answers
Write an expression for the 12th partial sum of the series 3/2+7/3+19/6+... using summation notation
lapo4ka [179]

Answer:

S_{12}=\sum_{i=1}^{12} [\frac{3}{2}+(i-1)\times \frac{5}{6}]

S_{12}=73

Step-by-step explanation:

First\ term\ of\ the\ series(a_1)=\frac{3}{2}\\\\Second\ term\ of\ the\ series(a_2)=\frac{7}{3}\\\\Third\ term\ of\ the\ series(a_3)=\frac{19}{6}\\\\a_2-a_1=\frac{7}{3}-\frac{3}{2}=\frac{5}{6}\\\\a_3-a_2=\frac{19}{6}-\frac{7}{3}=\frac{5}{6}\\\\Hence\ it\ is\ an\ Arithmetic\ Series\ with\ first\ term=\frac{3}{2}\ and\ constant\ difference=\frac{5}{6}

a_1=\frac{3}{2}+0\times \frac{5}{6}\\\\a_2=\frac{3}{2}+1\times \frac{5}{6}\\\\a_3=\frac{3}{2}+2\times \frac{5}{6}\\\\.\\.\\.\\a_n=\frac{3}{2}+(n-1)\times \frac{5}{6}\\\\S_n=a_1+a_2+a_3+......+a_n\\\\S_n=(\frac{3}{2}+0\times \frac{5}{6})+(\frac{3}{2}+1\times \frac{5}{6})+(\frac{3}{2}+2\times \frac{5}{6})+....+(\frac{3}{2}+[n-1]\times \frac{5}{6})\\\\S_n=\sum_{i=1}^n [\frac{3}{2}+(i-1)\times \frac{5}{6}]\\\\S_n=(\frac{3}{2}+\frac{3}{2}+\frac{3}{2}+...n\ times)+\frac{5}{6}(1+2+3+4+...+(n-1))\\\\

S_n=\frac{3}{2}\times n+\frac{5}{6}\times \frac{n(n-1)}{2}\\\\

S_{12}=\sum_{i=1}^{12} [\frac{3}{2}+(i-1)\times \frac{5}{6}]

S_{12}=\frac{3}{2}\times 12+\frac{5}{6}\times \frac{(12)(12-1)}{2}\\\\S_{12}=18+55\\\\S_{12}=73

5 0
3 years ago
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