Let $A(-1,\,2)$, $B(1,\,-2)$ and $C(-2,\,-2)$ be vertices of the triangle $ABC$. The equation of the line passing through $C$ and parallel to $AB$ is
Show Hint
Parallel lines have equal slopes. Once you find the slope of the reference line, directly apply point-slope form with the given point to get the parallel line's equation.