Answer
$k=5$
Work Step by Step
By using the slope formula, the slope of the line is: $m=\frac{y_2-y_1}{x_2-x_1}\\-0.25=\frac{k-2}{-2-2k}\\-0.25(-2-2k)=k-2\\0.5+0.5k=k-2\\2.5=0.5k\\k=5$
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