Question

Find an equation for the line that passes through the point P(4,-1) and is perpendicular to the line 6 x + 11 y = − 10 . Use exact values.

Answer 1

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6x + S-10 6 a Guven line is Ally >>lly =-6X10 >> y =..q xalo the perpen diulano line will have a slope of -1=(-4)= + so, let the equation of the peopendiculars line be, = + 4 x + c NOW lo 6 8 - +

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Now -> ->CE 6 this time passes through (4,-1). So we have, -1= 4x (A.) to Cs-1-43 50 so, the equation of the perpendicular line becomes, y = x - 50 -> by = 118 118-6y = 50 50

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So the required equation of the perpendicular line is,

11x - 6y = 50