To know if the points are solutions to the equation we have two evaluate the equation at x=1.5 and 0 and if the result is the y-entry of each point then the corresponding point is a solution, otherwise, the point is not a solution.
Answer:
Evaluating the given equation at x=1.5 we get, and solving for y:
[tex]\begin{gathered} 6(1.5)+2y=-8, \\ 9+2y=-8, \\ 2y=-17, \\ y=-\frac{17}{2}\ne-4. \end{gathered}[/tex]
From the above result, we get that point (1.5,-4) is not a solution to the equation.
Now, evaluating the equation at x=0 we get:
[tex]\begin{gathered} 6(0)+2y=-8, \\ 2y=-8, \\ y=-4. \end{gathered}[/tex]
Therefore, the point (0,-4) is a solution to the equation.
