# SOLUTION: The points A(-1,2),B(x,y) and C=(4,5) are such that BA=BC.Find a linear relation between x and y.

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 Click here to see ALL problems on Coordinate-system Question 550844: The points A(-1,2),B(x,y) and C=(4,5) are such that BA=BC.Find a linear relation between x and y.Answer by Theo(3504)   (Show Source): You can put this solution on YOUR website!point B will be any point on the perpendicular bisector of AC. as such it will be equidistant between A and C which will always make AB = BC. the linear relationship is the equation of the line that passes through the midpoint of AC and is perpendicular to it. the equation of the line AC is: y = (3/5)x + (13/5) the equation of the line perpendicular to AC and passing through its midpoint is: y = -(5/3)x + 6 the graph of the equations for those line is shown below: point B is any point on the line perpendicular to AC, so the linear relationship between the x value of that point and the y value of that point is the equation of the line perpendicular to AC which is the equation: y = -(5/3)x + 6. a picture of the relationship is shown below: line DE is perpendiculat to line AC. any point on line DE is equidistant from A and C.