To graph the linear equation y = 1/3x - 2, we can use a straight line. The equation is in slope-intercept form (y = mx + b), where the slope (m) is 1/3 and the y-intercept (b) is -2.
To plot the graph, start by marking the y-intercept at (0, -2). Then, use the slope to find additional points. Since the slope is 1/3, it means that for every increase of 1 in the x-coordinate, the y-coordinate increases by 1/3.
So, from the y-intercept (0, -2), you can move up 1 unit and right 3 units to reach the point (3, -1/3). Similarly, you can move down 1 unit and left 3 units from the y-intercept to reach the point (-3, -7/3).
Connect these points with a straight line, and you'll have the graph of the linear equation y = 1/3x - 2.
