Problem

Consider the following equation.
\[
2 y=6
\]

Step 2 of 2: Graph the equation by plotting the $x$ - and $y$-intercepts. If an intercept does not exist, or is duplicated, use another point on the to plot the graph.

Answer

Expert–verified
Hide Steps
Answer

Final Answer: The graph of the equation \(2y=6\) is a horizontal line passing through the point (0,3). The y-intercept is at (0,3) and another point on the line is (1,3). There is no x-intercept. The line is independent of x and the y value is the same for all x, which is \(\boxed{3}\).

Steps

Step 1 :Consider the following equation: \(2y=6\).

Step 2 :Solve the equation for y to get \(y=3\).

Step 3 :Since there is no x term in the equation, there is no x-intercept.

Step 4 :The y-intercept is at the point (0,3).

Step 5 :Since the equation is independent of x, the y value is the same for all x, which is 3.

Step 6 :The graph of the equation is a horizontal line passing through the point (0,3).

Step 7 :Another point on the line is (1,3).

Step 8 :Final Answer: The graph of the equation \(2y=6\) is a horizontal line passing through the point (0,3). The y-intercept is at (0,3) and another point on the line is (1,3). There is no x-intercept. The line is independent of x and the y value is the same for all x, which is \(\boxed{3}\).

link_gpt