Calculus Grade 12
posted by Henry on .
determine the coordinates of two points on the plane with equation 5x + 4y - 3z = 6
pick any values for two of the variables, and calculate the third coordinate.
z = (6-5x-4y)/-3
so, if x=1 and y=10, z=13 and (1,10,13) is on the plane.
using similar expressions for x and y, you can pick points using x,z or y,z.
y = 6, z = 6
5x + 4(6) - 3(6) = 6
5x + 24 - 18 = 6
5x = 0
x = 0
so (0,6,6) is a point on the plane.
is this correct??