Question

A graph of the equation 6x + 2y = -8.

Are the points on the line included in the solution region? Explain how you know.
-Ignore the question on the picture- (:

Answer 1

The points on the line are not included in the solution region.

Step-by-step explanation:

To determine if the points on the line are included in the solution region, we can look at the equation of the line and see if it satisfies the given equation: 6x + 2y = -8. We can choose any point on the line and substitute its x and y values into the equation. If the equation holds true, then the point is included in the solution region.

Let's choose a point on the line, for example, (2, -7). Substituting these values into the equation gives us: 6(2) + 2(-7) = 12 - 14 = -2. Since -2 is not equal to -8, this point does not satisfy the equation and is not included in the solution region.

Thus, the points on the line are not included in the solution region.