Slope intercept form:
y=mx+b
Where:
m= slope
b= y-intercept
For: y=1/2x-2
slope = 1/2
b= -2
To graph it we have to look at the y-intercept.(-2) It means that the line crosses the y axis at y=-2.
looking at the slope, we know that slope = rise (y) / run (x). 1/2
For every 2 units along the x-axis (to the right) the line goes up by 1 unit.
Since inequality has a y> the line is not included in the solution, so it's a dashed line, where the solution is above the line.