How do you graph y > 2x?AnswerAnswer thegame_0405's post “How do you graph y > 2x?”•CommentComment on thegame_0405's post “How do you graph y > 2x?”

To graph the inequality $y > 2x$, follow these steps:

1. Break Down the Problem

• We need to graph the line represented by the equation $y = 2x$.
• Then, we'll indicate the region where $y$ is greater than $2x$.

2. Relevant Concepts

• The equation $y = 2x$ is a linear equation, which graphs as a straight line.
• Since we are dealing with an inequality $(y > 2x)$, the line will be dashed, indicating that points on the line are not included in the solution.

3. Analysis and Detail

1. Graph the Line $y = 2x$:

   • To graph the line, identify two points.
     • When $x = 0$:
       $y = 2(0) = 0 \quad \Rightarrow \quad (0, 0)$
     • When $x = 1$:
       $y = 2(1) = 2 \quad \Rightarrow \quad (1, 2)$
   • Plot the points $(0, 0)$ and $(1, 2)$ on the coordinate plane and draw a dashed line through them.

2. Shade the Region:

   • Since the inequality is $y > 2x$, shade the area above the dashed line. This represents all points $(x, y)$ where $y$ is greater than $2x$.

4. Verify and Summarize

• Check that the line is correctly represented as dashed.
• Ensure the shading indicates that the region above the line is the solution set for $y > 2x$.

Final Answer

The graph of the inequality $y > 2x$ consists of a dashed line representing $y = 2x$ with the region above the line shaded.