Mathematics, 30.06.2019 18:00 leah5981
Find the y-intercept of a line that passes through (-2,6) and has a slope of -5
Answers: 2
![\bf (\stackrel{x_1}{-2}~,~\stackrel{y_1}{6})~\hspace{10em} slope = m\implies -5 \\\\\\ \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-6=-5[x-(-2)]\implies y-6=-5(x+2)](/tpl/images/1164/2006/57be7.png)
![\bf y-6=-5x-10\implies y=-5x\stackrel{\downarrow }{-4}\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{y-intercept}{(0,-4)}~\hfill](/tpl/images/1164/2006/669ad.png)
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