Mathematics, 05.07.2019 17:30 winterblackburn78
Write the equation of the line, given the y- and x-intercepts. x-intercept (–6, 0), y-intercept (0, –8)
Answers: 1
![\bf (\stackrel{x_1}{-6}~,~\stackrel{y_1}{0})\qquad(\stackrel{x_2}{0}~,~\stackrel{y_2}{-8})\\\\\\ slope = m\implies\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-8-0}{0-(-6)}\implies \cfrac{-8-0}{0+6}\implies \cfrac{-8}{6}\implies -\cfrac{4}{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-0=-\cfrac{4}{3}[x-(-6)]\\\\\\y=-\cfrac{4}{3}(x+6)\implies y=-\cfrac{4}{3}x-8](/tpl/images/0054/8290/95977.png)
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Write the equation of the line, given the y- and x-intercepts. x-intercept (–6, 0), y-intercept (0,...
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