Final answer:
To solve the equation -2(2x+y)=28 for y, distribute -2 to both terms inside the parentheses, move -4x to the other side, and divide by -2 to solve for y. Use the domain {0,1,2,3,4} to create a mapping diagram, table, and graph for the equation y = -14 - 2x.
Step-by-step explanation:
To solve the equation -2(2x+y)=28 for y, we need to isolate y on one side of the equation. First, distribute -2 to both terms inside the parentheses: -4x - 2y = 28. Then, move -4x to the other side by adding 4x to both sides: -2y = 28 + 4x. Finally, divide both sides by -2 to solve for y: y = -14 - 2x.
To create a mapping diagram, we can substitute the values from the domain {0, 1, 2, 3, 4} into the equation y = -14 - 2x. For example, when x = 0, y = -14 - 2(0) = -14. Similarly, we can find the corresponding y-values for the other values of x in the domain.
To create a table, we can list the values of x from the domain in one column and their corresponding y-values in another column based on the equation. Finally, we can plot the points on a graph using the coordinates from the table and connect them to form a line.