Question

Which of these two points is a solution to the inequality graphed below??

Answer 1

two points that is a solution to the inequality graphed is : (0, 6) and (1, 2)

The inequality is: y < -4x + 6

Step-by-step 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

`\begin{gathered} m=(y_2-y_1)/(x_2-x_1) \\ \\ y_1=6,y_2=2,x_1=0,x_2=1 \\ \\ m=(2-6)/(1-0)=(-4)/(1) \\ \\ m=-4 \end{gathered}`

The general form of an equation for linear inequality is given by

`yPutting c = 6 and m = -4 into the equation , we have [tex]y<-4x+6`

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