Question

Plot the graph for the equation2y+6=0 , and then select the matching graph below.

Answer 1

y = -3

Step-by-step explanation:

2y + 6 = 0

2y = -6

y = -3

Since it's just y = -3, there is NO SLOPE and it's just one straight line going horizontally.

So just pick the graph where it's a horizontal line that only goes through the y-axises of -3 (i.e (0, -3), (1, -3), and etc)

Answer 2

In order to plot this on a graph, we locate the point (0, -3) on the coordinate plane, which means we move 0 units to the right on the x-axis and 3 units down on the y-axis.

Step-by-step explanation:

To plot the graph for the equation 2y + 6 = 0, we can start by rearranging the equation to solve for y:

2y + 6 = 0

Subtract 6 from both sides:

2y = -6

Divide both sides by 2:

y = -6/2

Simplifying:

y = -3

Now we have the value of y, which is -3. To plot the graph, we need to find the corresponding x-value. Since there is no x-term in the equation, we can consider x as any value. Let's choose x = 0 for simplicity.

Therefore, we have the coordinates (0, -3).

To plot this on a graph, we locate the point (0, -3) on the coordinate plane, which means we move 0 units to the right on the x-axis and 3 units down on the y-axis.

Now, let's look at the provided options and select the matching graph based on the point (0, -3).

Please provide the available options for the graphs, and I will help you identify the matching graph.