To graph the equation y = 2/3 x + 1, you can follow these steps:
- Plot the y-intercept: The y-intercept of the equation is the point where the line crosses the y-axis. To find the y-intercept, set x = 0 and solve for y. y = 2/3(0) + 1 = 1 So, the y-intercept is the point (0, 1).
- Plot another point: To plot another point, you can use the slope of the line, which is 2/3. The slope tells you how much the y-value changes for each unit increase in the x-value. Starting from the y-intercept (0, 1), move up 2 units and right 3 units. This will give you the point (3, 3).
- Draw the line: Once you have two points, you can draw a straight line through them to represent the equation. Plot the two points (0, 1) and (3, 3) on the coordinate plane and draw a straight line through them. This line represents the equation y = 2/3 x + 1.
Here's a visual representation of the graph:
Note that the "*" represents the point (0, 1), and the "." represents the point (3, 3).