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Write the equation of the line in fully simplified slope-intercept form

Write the equation of the line in fully simplified slope-intercept form-example-1
User BenWillkommen
by
3.0k points

2 Answers

20 votes
20 votes

to get the equation of any straight line, we only need two points off of it, let's use those two on the picture below.


(\stackrel{x_1}{2}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{8}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{8}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{2}}}\implies \cfrac{6}{2}\implies 3


\begin{array} \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}{3}(x-\stackrel{x_1}{2}) \\\\\\ y-2=3x-6\implies y=3x-4

Write the equation of the line in fully simplified slope-intercept form-example-1
User Glauco Cucchiar
by
2.8k points
14 votes
14 votes

Answer:

-2/3x + -4

Explanation:

User Alex Stephens
by
2.9k points
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