To graph the linear equation $y = 5x$, follow these steps:

Step 1: Identify the Key Components

• Slope ($m$): The coefficient of $x$ is 5, meaning the line rises 5 units for every 1 unit it moves to the right.
• Y-intercept ($b$): Since there is no constant term, the y-intercept is $0$, meaning the line passes through the origin (0,0).

Step 2: Choose Key Points

Select a few values of $x$ and compute $y$:

• $x = -2$, then $y = 5(-2) = -10$ → (-2, -10)
• $x = -1$, then $y = 5(-1) = -5$ → (-1, -5)
• $x = 0$, then $y = 5(0) = 0$ → (0, 0) (y-intercept)
• $x = 1$, then $y = 5(1) = 5$ → (1, 5)
• $x = 2$, then $y = 5(2) = 10$ → (2, 10)

Step 3: Plot the Points

Plot these points on a coordinate plane.

Step 4: Draw the Line

Connect the points with a straight line extending in both directions.

Would you like me to generate a graph for you? Let me know if you need more details!

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Related Questions

1. How do you find the slope of a line from an equation?
2. What does the graph of $y = 5x$ look like compared to $y = -5x$?
3. How do you determine if a given point is on the line $y = 5x$?
4. What happens to the graph if the equation changes to $y = 5x + 3$?
5. How do you graph a linear equation using intercepts?

Tip: The slope $m$ determines the steepness of the line; a larger absolute value means a steeper line!