Answer:
[tex]y < -3x[/tex]
Step-by-step explanation:
Choose 2 points on the line: (0, 0) and (1, -3)
- Let [tex]\sf (x_1,y_1)=(0,0)[/tex]
- Let [tex]\sf (x_2,y_2)=(1,-3)[/tex]
[tex]\sf slope=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-3-0}{1-0}=-3[/tex]
point-slope form of linear equation: [tex]\sf y-y_1=m(x-x_1)[/tex]
[tex]\implies \sf y-0=-3(x-0)[/tex]
[tex]\implies \sf y=-3x[/tex]
Solid line : ≤ or ≥
Dashed line: < or >
Therefore as the line is dashed, and the shading is below the line,
[tex]\implies \sf y < -3x[/tex]
