Answer
$$y=-\frac{3}{2}x--\frac{5}{2}$$
Work Step by Step
$(x_{1},y_{1}) = (1, -4)$ $and$ $(x_{2},y_{2}) = (-1,-1)$
$m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$
$m = \frac{-1-(-4)}{-1-(-1)}$
$m = \frac{-5}{-2}$
$m= -\frac{3}{2}$
y-intercept is
$b=y_{1}-mx_{1}$
$b=-4-(-\frac{3}{2})(1)$
$b=4 + \frac{3}{2}$
$b=-\frac{5}{2}$
