Answer:
K=6
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
![1.5k-4=-0.5k+8](https://img.qammunity.org/2020/formulas/mathematics/college/9gw08wo2aygredtzm59lyrw3sta4h7x46z.png)
![1.5k+0.5k=8+4](https://img.qammunity.org/2020/formulas/mathematics/college/izh54gzk0hatqmzudoj9go3lfwvipyghky.png)
![2k=12](https://img.qammunity.org/2020/formulas/mathematics/college/vacs7f6tm715r6az12bg0f871vrnp1avq3.png)
![k=6](https://img.qammunity.org/2020/formulas/mathematics/high-school/xiiksf4ilye4gucq4brtpzbkbfeoolcvrh.png)
therefore
If the value of k is 6 the, the relation will not be a function