To graph the equation y = 5x, follow these simple steps:
- Understand the Equation: The equation y = 5x is a linear equation where the slope (m) is 5 and the y-intercept (b) is 0. This means the line will rise steeply as x increases.
- Create a Table of Values: Choose a few values for x to find corresponding y values. For example:
- If x = -2, then y = 5(-2) = -10
- If x = -1, then y = 5(-1) = -5
- If x = 0, then y = 5(0) = 0
- If x = 1, then y = 5(1) = 5
- If x = 2, then y = 5(2) = 10
- Plot the Points: On a graph, plot the points you’ve calculated: (-2, -10), (-1, -5), (0, 0), (1, 5), and (2, 10).
- Draw the Line: Once all the points are plotted, draw a straight line through them. Since it’s a linear equation, all points will lie on the same straight line.
- Label the Axes: Don’t forget to label the x-axis and y-axis to make your graph clear.
And that’s it! You’ve successfully graphed the equation y = 5x. The line will have a steep slope, passing through the origin (0,0) and continuing infinitely in both directions.