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Answer:
C
Step-by-step explanation:
Perpendicular lines have slopes which are the negative reciprocal of each other. To find the slope, convert 3x-5y=8 into y=mx+b form.
3x-5y=8
-5y = -3x +8
y = 3/5 x - 8/5
The slope is 3/5 so its perpendicular slope is -5/3. Write the equation of this line through the point (3,7) using point slope form. Then simplify into y=mx+b form.