Answer
$y=-\frac{2}{3}x-\frac{1}{3}$
Work Step by Step
We know that if the slope of a line is $m$ and it contains $P_1(x_1,y_1)$, then its equation is: $y-y_1=m(x-x_1).$
Hence, here we have
$y-(-1)=-\frac{2}{3}(x-1)\\
y+1=-\frac{2}{3}x+\frac{2}{3}\\
y=-\frac{2}{3}x+\frac{2}{3}-1\\
y=-\frac{2}{3}x-\frac{1}{3}$
