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luda_lava [24]
4 years ago
9

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

Mathematics
1 answer:
bija089 [108]4 years ago
4 0
Y = mx + b; b = 6 

<span>1 = 4m + 6; m = -5/4 </span>

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

<span>-5(1 - k) = 4(2k + 1) </span>

<span>5k - 5 = 8k + 4 </span>

<span>-3k = 9 </span>

<span>k = -3</span>
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