D

#### Here is a graph of the equation 6x + 2y = -8.

12 viewed last edited 12 days ago
Anonymous
0

1. Are the points (1.5,4) and (0,-4) solutions to the equation? Explain or show how you know.
2. Check if each of these points is a solution to the inequality 6x+ 2y \leq -8:

(-2,2) (4,-2) (0,0) (-4,-4)

3.Shade the solutions to the inequality.

4.Are the points on the line included in the solution region? Explain how you know.

Sangeetha Pulapaka
0
1. Plugging in (1.5,4) in the equation 6x + 2y = -8, we get  17\neq 8. So, (1.5,4) is not a solution to the equation. Similarly plug in (0,-4) in the equation 6x + 2y = -8, we get 6 \cdot 0 + 2 \cdot -4 = -8. So, this point is a solution to the equation.
2. Plug in (-2,2) in 6x + 2y \leq -8 to get -8. So (-2,2) is a solution. Plug in (4,-2) in the equation to get 20.. So (4,-2) is not a solution. Plug in (0,0) in the same equation to get 0 = 8. This means that this point is also not a solution. Plug in (-4,4) in 6x + 2y = -8 to get 6 \cdot -4 + 2 \cdot 4 = -24 + 8 = -16 \neq 8. So (-4,4) is also not a solution.
3. The points on the line are included in the solution region because we have an inequality \leq. So the points on the line are also a part of the solution set. So, we have a solid line.