Answer:
y < 3x +4
Explanation:
You want the inequality that is plotted on the given graph.
Boundary line
The dashed boundary line is shown as passing through the point (-2, -2) and the y-intercept (0, 4). Its slope is ...
m = (y2 -y1)/(x2 -x1)
m = (4 -(-2))/(0 -(-2)) = 6/2 = 3
Then the slope-intercept equation of the boundary line is ...
y = mx +b . . . . . . line with slope m and y-intercept b
y = 3x +4
Shading
The shading is below the dashed line, so values of y less than those on the boundary are included in the solution set. The line itself is not included (indicated by the dashes). This means the inequality is ...
y < 3x +4
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