The perpendicular line is
y = -1/2x + 13/2
Perpendicular lines have inverse slopes of opposite signs
Put the line 8 = 2x - y in slope intercept form by solving it for y
-y = -2x + 8
y = 2x - 8
m = 2
The slope of the perpendicular line is -1/2
y = -1/2x + b
Use the coordinates (3, 5) to solve b
5 = -1/2(3) + b
5 = -3/2 + b
Add -3/2 to both sides of the equation
5 + 3/2 = b
10/2 + 3/2 = b
13/2 = b
The perpendicular line is
y = -1/2x + 13/2
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