Mathematics, 05.07.2019 08:00 nicky123415
What is and equation of the line with slope 3 that goes through point (-½, 5/2)?
Answers: 1
![\bf (\stackrel{x_1}{-\frac{1}{2}}~,~\stackrel{y_1}{\frac{5}{2}})~\hspace{10em} slope = m\implies 3 \\\\\\ \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-\cfrac{5}{2}=3\left[ x-\left(-\cfrac{1}{2} \right) \right]\implies y-\cfrac{5}{2}=3\left( x+\cfrac{1}{2} \right) \\\\\\ y-\cfrac{5}{2}=3x+\cfrac{3}{2}\implies y==3x+\cfrac{3}{2}+\cfrac{5}{2}\implies y=3x+\cfrac{8}{2}\implies y=3x+4](/tpl/images/0053/3222/5e14e.png)
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