Answer:
k = 2
Step-by-step explanation:
given the equation of a line
2x + 9y + (k - 2) = 0
If the line passes through the origin at (0, 0 )
substitute x = 0, y = 0 into the equation and solve for k
2(0) + 9(0) + k - 2 = 0
0 + 0 + k - 2 = 0
k - 2 = 0 ( add 2 to both sides )
k = 2