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Kobotan [32]
1 year ago
9

Write an equation that represents the line. Use exact numbers. (-2,-1) (4,6)

Mathematics
1 answer:
vazorg [7]1 year ago
6 0

Check the picture below.

to get the equation of any straight line, we simply need two points off of it, so let's use those in the picture

(\stackrel{x_1}{-2}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{6})~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{(-2)}}} \implies \cfrac{6 -1}{4 +2} \implies \cfrac{ 5 }{ 6 }

\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}{1}=\stackrel{m}{\cfrac{5}{6}}(x-\stackrel{x_1}{(-2)})\implies y-1=\cfrac{5}{6}(x+2) \\\\\\ y-1=\cfrac{5}{6}x+\cfrac{5}{3}\implies y=\cfrac{5}{6}x+\cfrac{5}{3}+1\implies y=\cfrac{5}{6}x+\cfrac{8}{3}

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Answer:

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Step-by-step explanation:

Solving an inequality is similar to solving an equation. To solve for r, isolate it. Whatever you do to one side, do to the other. Remember that a negative and a negative equal a positive, thus one side of the inequality becomes r + 5. Then, subtract both sides by -5 to find the answer.

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3 years ago
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Step-by-step explanation:

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Step-by-step explanation:

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2 years ago
1.what is the slope of the line passing through the points (1,-5) and (4,1)?
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C. 2

Step-by-step explanation:

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Step-by-step explanation:

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