hadleydengle hadleydengle
  • 22-11-2021
  • Mathematics
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What is the equation of the line that passes through the point (2, -4) and has a slope of -2?

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jdoe0001 jdoe0001
  • 22-11-2021

[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{-4})\qquad \stackrel{slope}{m = -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-\stackrel{y_1}{(-4)}=\stackrel{m}{-2}(x-\stackrel{x_1}{2}) \\\\\\ y+4=-2x+4\implies\blacktriangleright y = -2x \blacktriangleleft[/tex]

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