helpmal
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what is the equation of the following line ? be sure to scroll down first to see all answer options (0,0) (-2,-3)

what is the equation of the following line be sure to scroll down first to see all answer options 00 23 class=

Respuesta :

to get the slope of any line, all we need is two points off of it, so let's get the slope and thus its equation, hmmmm  let's see points (-2,-3) and the origin are the obvious ones =)

[tex]\bf (\stackrel{x_1}{-2}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{0}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{0-(-3)}{0-(-2)}\implies \cfrac{0+3}{0+2}\implies \cfrac{3}{2} \\\\\\ \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-(-3)=\cfrac{3}{2}[x-(-2)]\implies y+3=\cfrac{3}{2}(x+2) \\\\\\ y+3=\cfrac{3}{2}x+3\implies y=\cfrac{3}{2}x[/tex]

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