Find a plane containing the point (-2, 2, -3) and the line of intersection of the planes -3x-y+2z = −3 and 2x + y + 2z = 1.

Find the equation of the line perpendicular to the line y=3 and passing through the midpoint of the segment joining 2, 4 and -6, 10.

Use slopes to show that the square with vertices at (2,5), (4,5), (4,1), and (2,1) has diagonals that are perpendicular.

Use a system of linear equation to find the parabola y=ax2+bx+c that passes through the points (1,2), (0,1) and (2,6)