Question 57
A line intersects the $y$-axis, the line $y=2x+2$, and the $x$-axis at the points $A$, $B$, and $C$, respectively. If segment $AC$ has a length of $4\sqrt{2}$ units and $B$ lies in the first quadrant and is the midpoint of segment $AC$, find the equation of the line in slope-intercept form.