amanleon89 amanleon89
  • 02-10-2018
  • Mathematics
contestada

find the value of y if the line through the two given points is to have the indicated slope. (-3,y) and (-11,8), m = -2

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ammu55 ammu55
  • 02-10-2018

[tex] = \frac{y - y_{2}}{x - x _{2}} \\ - 2 = \frac{y - ( - 11)}{ - 3 - 8} \\ - 2 = \frac{y + 11}{ - 11} \\ - 2 + 1 = y \\ y = - 1[/tex]
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jdoe0001 jdoe0001
  • 02-10-2018

[tex]\bf (\stackrel{x_1}{-3}~,~\stackrel{y_1}{y})\qquad(\stackrel{x_2}{-11}~,~\stackrel{y_2}{8})\\\\\\slope = m\implies\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{8-y}{-11-(-3)}~~=~~\stackrel{m}{-2}\\\\\\\cfrac{8-y}{-11+3}=-2\implies \cfrac{8-y}{-8}=-2\implies 8-y=16\implies -8=y[/tex]

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