Answer
$$y=-5x+6$$
Work Step by Step
$(x_{1},y_{1}) = (2, -4)$ $and$ $(x_{2},y_{2}) = (1,1)$
$m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$
$m = \frac{1-(-4)}{1-2}$
$m = \frac{5}{-1}$
$m= -5$
y-intercept is
$b=y_{1}-mx_{1}$
$b=-4-(-5)(2)$
$b=-4 + 10$
$b=6$
