Answer:
[tex]y=\frac{1}{2} (x-2)-3[/tex] or [tex]y=\frac{1}{2} x-4[/tex]
Step-by-step explanation:
The perpendicular slope is the opposite-reciprocal of the original slope:
Perpendicular slope of -2 is [tex]\frac{1}{2}[/tex]
Write the equation in point-slope form ([tex]y=a(x-h)+k[/tex]):
[tex]y=\frac{1}{2} (x-2)-3[/tex]
Convert to slope-intercept form if needed:
[tex]y=\frac{1}{2} x-1-3[/tex]
[tex]y=\frac{1}{2} x-4[/tex]
