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Answer:
y=[tex]\frac{1}{2}x-2[/tex]
Step-by-step explanation:
Perpendicular lines have negative reciprocal gradients(slopes) so the slope of your new line would be 1/2. Then you use the point to find the new y-intercept
y=mx+b
2=[tex]\frac{1}{2}[/tex](8)+b
2=4+b
B=-2
y=[tex]\frac{1}{2}x-2[/tex]