# SOLUTION: Line l passes through (1,-3) and is perpendicular to y = (1/5) x - 7. What is the equation of line l ?

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 Click here to see ALL problems on Linear-equations Question 329385: Line l passes through (1,-3) and is perpendicular to y = (1/5) x - 7. What is the equation of line l ?Answer by Tutorteddy.Com(12)   (Show Source): You can put this solution on YOUR website!Let the equation of the line be y = mx + c, being the gradient of the line. As the line is perpendicular to y = (1/5) x - 7, m X (1/5) = -1 => m = -1/1/5 = -5 Hence the required line becomes y = -5x + c As the line passes through (1,-3) the given equation becomes -3 = (-5) X 1 + c = -5 + c => c = -3 + 5 = 2 Hence the required equation of the line becomes y = -5x + 2 => 5x + y - 2 = 0