Question 1121327
(i) No solution.
Parallel lines have the same slope, but not the same y-intercept
Express the equations in standard form:
y = (-9/k)x + 3/k
y = -kx + 1
m1 = -9/k, m2 = -k
m1 = m2 -> -9/k = -k -> k^2 = 9
This gives k = 3, k = -3
k = -3 will result in a different y-intercept
The two equations are 
y = 3x - 3
y = 3x + 1
(ii) Using the results from (i), when k = 3, the two equations are the same:
y = -3x + 1
y = -3x + 1
(iii) Any value other than k = 3, k = -3, will result in one intersection point, or one solution
For example, if k = 1 we have
y = -9x + 3
y = -x + 1