# Answer to Question #4805 in Analytic Geometry for mehboob

Question #4805

Find equation of the line which is perpendicular to the line y=5x + 9

and has y-intercept = 6.

and has y-intercept = 6.

Expert's answer

Two lines y1 = k1*x+a1 (here k1=5 and a1=9) and y2 = k2*x+a2 are perpendicular if k1*k2 = -1. So, required line has the slope k2 = -1/5. To feet the condition about y-intercept we'll set a2 = 6. So, required line is given by equation y2 = -x/5+6.

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