Answer with explanation:
Select two points on the line to find the equation of the line.
Taking two points ,(6,8) and (-3, -7) on the line.
→Equation of Line passing through two points [tex](x_{1},y_{1}),(x_{2},y_{2})[/tex] is given by
[tex]\rightarrow \frac{y-y_{1}}{x-x_{1}}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\rightarrow \frac{y-8}{x-6}=\frac{-7-8}{-3-6}\\\\3y-24=5x-30\\\\5x-3y-6=0[/tex]
If you will write this in terms of inequality
5x-3y>6
→Second line passes through, (0,-4) and (9,-1).
Equation of this line will be
[tex]\frac{y-(-4)}{x-0}=\frac{-1-(-4)}{9-0}\\\\9y+36=3x\\\\3x-9y-36=0\\\\x-3y-12=0[/tex]
If you will write this in terms of inequality,it will be
x-3y>12
Option A
It satisfy both the inequality and is part of solution set.
