Given:
The given linear equation is [tex]2y=-3x-2[/tex] and contains the point (2,k).
We need to determine the value of k.
Value of k:
To determine the value of k, let us substitute the coordinates in the linear equation.
Thus, we have;
[tex]2k=-3(2)-2[/tex]
Simplifying, we get;
[tex]2k=-6-2[/tex]
Adding the terms, we have;
[tex]2k=-8[/tex]
Dividing both sides by 2, we get;
[tex]k=-4[/tex]
Thus, the value of k is -4.
