Answer:
Step-by-step explanation:
Solid Line
The slope of the solid line is -1/2, a "rise" of -1 for a run of 2. It clearly has y-intercept 2, so the equation is easily written in slope-intercept form.
... y = mx + b . . . . . for slope m and y-intercept b
... y = (-1/2)x + 2
Since the shaded area is above this line, and the line is solid, the relation needed is y ≥ ....
Dashed Line
The slope of the dashed line is 2, a rise of 2 for a run of 1. The y-intercept is -3, so the equation is ...
... y = 2x -3
Since the shaded area is above this line, and the line is dahsed, the relation needed is y > .... (The line is not included in the solution set, so no "or equal to.")
The inequalities are ...
... y ≥ (-1/2)x +2
... y > 2x -3
