First, we have 2 equations:
y = -x+6
y = 1/2x-6.
We can start with the first equation. The y intercept is 6, and I’m coordinate for (0,6). Plot this point first. Next we have the slope -x, or -1. This can be represented as -1/1 or 1/-1. For the first option, we go down by 1 unit and go to the right 1 unit. For the second option, we go 1 unit up and go 1 unit to the left. You can either pick option 1 or 2, and I’ll pick the first option. From our point (0,6), go down 1 unit and go 1 unit to the right. Keep going until you reach the end of the graph. Connect the dots and you have your line.
For the second equation, we have
y = 1/2x-6. Our y intercept is -6 and in coordinate form (0,-6). Plot this point. Next, from our second point, go up 1 unit and go 2 units to the right. Repeat this step until you reach the end of the line. Connect the dots and you have your line.
Hope this helps