Ok so first let find what we know so far
We can see that one point is located at (3,-2)
And the slope is = -1
This means that the line must be passing thought -1
We have (k,4) so we must find out k
Lets graph (-4,4) to (3,-2)
it passes though -1 on the point line
And -1 is our slope
So k would be = -4