Answer
two points that is a solution to the inequality graphed is : (0, 6) and (1, 2)
The inequality is: y < -4x + 6
Explanation
From the graph of the inequality given;
y = 6 when x = 0, y = 2 when x = 1 and the intercept c = 6
The next step is to find the slope (m) by using
[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \\ y_1=6,y_2=2,x_1=0,x_2=1 \\ \\ m=\frac{2-6}{1-0}=\frac{-4}{1} \\ \\ m=-4 \end{gathered}[/tex]
The general form of an equation for linear inequality is given by
[tex]yPutting c = 6 and m = -4 into the equation , we have [tex]y<-4x+6[/tex]
Therefore, the two points that is a solution to the inequality graphed is (0, 6) and (1, 2).
And the inequality is: y < -4x + 6
