Question 244835
These can all be solved the same way so we'll just do the first one :)

The slope-intercept form of the line equation is Y = (M*X) + B where M is the slope and B is the Y intercept (the value of Y where the line crosses the Y axis (which is also when X = 0).

In this case M is given as -1/2 so, substituting for M, the equation looks like Y = (-1/2)*X + B

Since the line passes through the point (-6,8) we know that when X = -6, Y = 8. Substituting these values for X and Y in the equation above we have:

8 = (-1/2)*(-6) + B 
8 = 3 + B
5 = B

So, substituting 5 for B in our slope-intercept form equation above, we then have Y = (-1/2)*X + 5