Changed axes in coordinate system
Source:
March 18, 2011
analytic geometryAMCAIMEgeometrygeometric transformationrotationgraphing lines
Problem Statement
Let be the line with slope that contains the point , and let be the line perpendicular to line that contains the point . The original coordinate axes are erased, and line is made the -axis, and line the -axis. In the new coordinate system, point is on the positive -axis, and point is on the positive -axis. The point with coordinates in the original system has coordinates in the new coordinate system. Find .