Let's begin by listing out the information given to us:
4x + 2y > 8
Let's make y the subject of the equation to resemble the general equation,
y = mx + b. We have:
2y > -4x + 8
divide through all variables & constant by 2, we have:
y > -2x + 4
Let's change > to = to test some points
y = -2x + 4
When (x, y) = (0, 0), we have:
0 = -2(0) + 4
0 > 4 (FALSE)
y > -2x + 4; m = -2
[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ when\text{ x= 2} \\ -2=\frac{y-0}{2_{}-0}\Rightarrow y_{}=-4 \\ \text{when x = -2} \\ -2=\frac{y-0}{-2-0}\Rightarrow y=4 \\ \text{when x = -5} \\ -2=\frac{y-0}{-5-0}\Rightarrow y=10 \\ \text{when x = 5} \\ -2=\frac{y-0}{5-0}\Rightarrow y=-10 \end{gathered}[/tex]
We plot this points on a graph, we have (image attached)
