Answer
$k(x)=-\frac{4}{5}x-2$
Work Step by Step
We are told that the slope is $-\frac{4}{5}$, so $a=-\frac{4}{5}$. We are also told that the y-intercept is $-2$, so $b=-2$. The equation must be:
$k(x)=ax+b=-\frac{4}{5}x-2$
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