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Which equation represents a line that is perpendicular to y=-5x+4?

Which equation represents a line that is perpendicular to y=-5x+4?-example-1
User UXerUIer
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Recall that given a line with equation


y=mx+b

A line perpendicular to that equation can be determined by getting the negative reciprocal of the equation


y=-(1)/(m)+b

Given the equation y = -5x + 4, the slope of the line is -5, get the negative reciprocal and we have


-(1)/(m)=-(1)/(-5)=(1)/(5)

We should have an equation with a slope of 1/5, this is represented therefore by the equation


y=(1)/(5)x-1\text{ \lparen final answer\rparen}

User Asaf Katz
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