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14 votes
14 votes
Complete the equation of the line.​

Complete the equation of the line.​-example-1
User Alessandro Teruzzi
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2 Answers

24 votes
24 votes

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


(\stackrel{x_1}{0}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{(-3)}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{0}}} \implies \cfrac{1 +3}{1 +0}\implies 4 \\\\\\ \begin{array}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}{(-3)}=\stackrel{m}{4}(x-\stackrel{x_1}{0}) \\\\\\ y+3=4x\implies y=4x-3

User Reda Maachi
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3.1k points
16 votes
16 votes

Answer:

see the attachment photo!

Complete the equation of the line.​-example-1
User Nick Fernandez
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3.3k points