1. What is the value of k in the equation y = kx + 2, if y = 12 when x = 4?

The answer is 3. Substituting x = 4 and y = 12 into the equation y = kx + 2, we get:

12 = k(4) + 2

12 = 4k + 2

10 = 4k

k = 10 / 4 = 3.