The slope-intercept form:
[tex]y=mx+b[/tex]
slope [tex]m=\dfrac{\Delta y}{\Delta x}[/tex]
y-intercept = b.
We have: (0, -6) → b = -6
[tex]\Delta y=4\\\\\Delta x = 1\Rightarrow m=\dfrac{4}{1}=4[/tex]
Substitute:
[tex]y=4x-6[/tex]
OK. We have the equation of a line.
The shaded region is above the line, therefore we have the inequality:
[tex]y\geq4x-6[/tex]
