What is the equation of a line that passes through the point (8, 1) and is perpendicular to the line whose equation isy=−23x+5y=−23x+5 ?

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y = -23x + 5

The slope of a perpendicular line to this is (1/23)

So....the equation of this line passing through (8,1) is

y = (1/23) (x - 8) + 1

y = (1/23)x - 8/23 + 1

y = (1/23)x - 8/23 + 23/23

y = (1/23)x + 15/23