Answer:
K=6
Step-by-step explanation:
we know that
A function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output
so
In this problem
If the x-coordinate of the first point is equal to the x-coordinate of the second point, then the relation will not be a function
Remember that the x-coordinate is the input value and the y-coordinate is the output value
Equate the x-coordinates and solve for k
[tex]1.5k-4=-0.5k+8[/tex]
[tex]1.5k+0.5k=8+4[/tex]
[tex]2k=12[/tex]
[tex]k=6[/tex]
therefore
If the value of k is 6 the, the relation will not be a function