#### Answer

$$A$$

#### Work Step by Step

The slope-intercept equation for a line is
$$y=mx+b$$
where $b$ is the y-intercept and the slope $m$ is given by
$$m=\frac{(y_{2}-y_{1})}{(x_{2}-x_{1})}$$
Here $(x_{1},y_{1})$ and $(x_{2},y_{2})$ are two points on the line.
Use $(-4,4)$ and $(2,-5)$ as the two points to find the slope as
$$m=\frac{-5-4}{2-(-4)}=\frac{-9}{6}=\frac{-3}{2}$$
Substitute the coordinates of one of the points, say, $(-4,4)$, and $m=-3/2$ into the first equation
$$4=(\frac{-3}{2})(-4) + b
\\4=6+b$$
and solve for $b$ by subtracting $6$ on both sides of the equation:
$$b=-2$$