Answer:
y > 4x - 2
Step-by-step explanation:
The basic format of a line in slope-intercept form is,
[tex]y=mx+b[/tex]
This format undergoes no change when one implements it for the use of a two-variable inequality.
The parameter (m) represents the slope of a line, this can be found by using the formula ([tex]\frac{rise}{run}[/tex]). Traditionally, one would use a formula to find the slope of a line that is the following, ([tex]\frac{y_2-y_1}{x_2-x_1}[/tex]). However, in the given situation, one can simply count the number of boxes from one point with respect to the x-axis to another, and thus get (4).
The parameter (b) represents the point in which the graph intersects the y-axis, one can see that this point is (-2).
Since the line is dotted, one would only use the greater than symbol, not the greater than or equal-too-symbol.
Finally, since the area above the line is shaded, therefore one knows that it is (y) is greater than.
