Explanation:
To graph the inequality -3x-y>-2, we first need to rewrite it in slope-intercept form. This gives us:
y < -3x + 2
The y-intercept for this inequality is 2, so the line will pass through the point (0, 2). The slope is -3, so for every 3 units we move down (in the y-direction), we must also move 1 unit to the right (in the x-direction). This gives us the following points on the line:
(1, -1)
(2, -4)
(3, -7)
We can plot these points and connect them with a line. The line should be dashed, since the inequality is < and not <=. The shaded area below the line represents the solutions to the inequality.