9514 1404 393
Answer:
k = -1.5
Step-by-step explanation:
The parallel line will have a new constant:
8x +11y = c = 8(4) +11(-2) = 32 -22 = 10
Then the value of k will satisfy ...
8(k) +11(2) = 10
8k = -12 . . . . . . . . subtract 22
k = -12/8 = -1..5 . . . . . divide by 8
The parallel line will pass through (-1.5, 2). That is, k = -1.5.
