Answer
$y=-\frac{3}{2}x-\frac{3}{2}$
Work Step by Step
Use the slope formula $m=\frac{y^2-y^1}{x^2-x^1}$ and the point-slope form $y-y_1=m(x-x_1)$ to solve this problem.
Passing through $(1,-3)$ with $x$-intercept $=-1$ or $(-1,0)$
$\frac{0+3}{-1-1}=-\frac{3}{2}$
$y+3=-\frac{3}{2}(x-1)$
$y+3=-\frac{3}{2}x+\frac{3}{2}$
$y=-\frac{3}{2}x-\frac{3}{2}$