Given: Two inequalities below
[tex]\begin{gathered} y-3x>6 \\ y>2 \end{gathered}[/tex]
Callculate the y intercept for equation 1
[tex]\begin{gathered} y-3x>6 \\ \text{make x= 0} \\ y-3(0)=6 \\ y=6 \\ \text{The coordinate of the y-intercept is } \\ (0,6) \end{gathered}[/tex]
Calculate the x-intercept of equation 1
[tex]\begin{gathered} y-3x>6 \\ \text{make y = 0} \\ 0-3x=6 \\ x=\frac{6}{-3}=-2 \\ \text{The coordinate of the x-axis is } \\ (-2,0) \end{gathered}[/tex]
The graph below showed the solution of the inequalities
The graph above showed the solution of inequalities
y>2 with coordinate (0, 2) is a horizontal line with dash lines
The coordinate of y-3x> 6 is a traight line with dash lines
The solution is as shown in the diagram above
