Sabina begins 10 meters to the east of a certain tree, and walks directly to a spot 6 meters north of the same tree. She takes 4 seconds to cover this distance. Write parametric equations expressing her motion, with the tree being represented by the origin, and t = 0 representing her start point. Find the coordinates of Sabina's location after 3 seconds using these parametric equations. Eliminate the parameter to get a Cartesian equation for this linear path. Verify algebraically that this equation represents this line. Verify graphically using Desmos or other technology that the parametric equations and the Cartesian equation give the same line.

Sabina begins 10 meters to the east of a certain tree, and walks directly to a spot 6 meters north of the same tree. She takes 4 seconds to cover this distance. Write parametric equations expressing her motion, with the tree being represented by the origin, and t = 0 representing her start point. Find the coordinates of Sabina's location after 3 seconds using these parametric equations. Eliminate the parameter to get a Cartesian equation for this linear path. Verify algebraically that this equation represents this line. Verify graphically using Desmos or other technology that the parametric equations and the Cartesian equation give the same line.