Show complete solution, the answer in already provided so first, consider the plane with x-intercept = -3, y-intercept = 4 and z-intercept = 3 a. Sketch or draw the graph of the plane b. Find out the...

Show complete solution, the answer in already provided so first, consider the plane with x-intercept = -3, y-intercept = 4 and z-intercept = 3

a. Sketch or draw the graph of the plane

b. Find out the general equation of the plane

c. By using the equation of the plane, find out whether the plane contains the point (5, 4, 5).

d. Also do the same verification for the point (-1, -4, 65)

Extracted text: General equation: 12x – 9y – 12z+ 36 = 0 Point (5, 4, 5) is on the plane since 12(5) – 9(4) – 12(5) + 36 = 0 but (-1, –4, 65) is not on the plane since 12(-1) – 9(-4) – 12(65) + 36 = –720 + 0. %3D