Question

Graph the equation. $$3 y=15$$

Short answer

The graph of the equation \(3y = 15\) is a horizontal line that cuts the y-axis at \(y = 5\).

Step-by-step solution

Simplify the equation

First, let's simplify the equation. Divide both sides of the equation \(3y = 15\) by 3 to solve for \(y\). This gives \(y = 5\). This equation tells us that for any point along this line, the y-coordinate is always 5.

Plot the line

Now take a graph and on the y-axis, find the point where \(y = 5\). Place a point there. Since the equation does not involve \(x\), this means that the x-coordinate can be any value. Therefore, draw a straight horizontal line that passes through the point (0,5).

Verify the line

Pick any point on the line you've drawn, and verify that the y-coordinate is indeed 5. If so, then the graph is correct.