Answer
$y=\frac{1}{2}x-4$
Work Step by Step
1. Find the slope of the given line $m_1=-2$
2. The new line perpendicular to the above has a slope $m=-\frac{1}{m_1}=\frac{1}{2}$
3. Use the point $(2,-3)$, we have $y+3=\frac{1}{2}(x-2)$ or $y=\frac{1}{2}x-4$