Consider the following. 4x + 3y + 72 = 84 Sketch a graph of the plane. 15 10 10 10 20 20 207 30 30 30 30 10 40 40 40 O O 15 15 10 10 10 10 20 20 20 30 30 30 40 40 40 Label any intercepts. (If an answer does not exist, enter DNE.) x-intercept: (x, y, z) = ( y-intercept: (x, y, z) = ( z-intercept: (x, y, z) = (Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist, enter DNE.) X - 3 2- 7 4x + 5y = -9, Y 8 14 (x, V, 2) = XFind the distance between the point and the plane. (Round your answer to three decimal places.) (5, 3, 4) x - y + 2z = 8Find the distance between the point and the line given by the set of parametric equations. (Round your answer to three decimal places.) (2, -7, 5); x = 2t, y = t - 3, z = 2t + 2