clumsypower clumsypower
  • 25-10-2016
  • Mathematics
contestada

A line passes through the points (k+3,-2k) and (4,1) and has a y-intercept of 6. Find the value of k.

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lovely3533
lovely3533 lovely3533
  • 25-10-2016
y = mx + b; b = 6 

1 = 4m + 6; m = -5/4 

-5/4 = (1 + 2k) / (4 - k - 3) = (2k + 1) / (1 - k) 

-5(1 - k) = 4(2k + 1) 

5k - 5 = 8k + 4 

-3k = 9 

k = -3
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