Graph the equation by plotting points.
y = 1/3x - 5
To graph the equation y = 1/3x - 5, we can choose some values for x and then calculate the corresponding y values.
Let's choose x values of -6, -3, 0, 3, and 6:
1. When x = -6:
y = 1/3(-6) - 5
y = -2 - 5
y = -7
So, the point (-6, -7) lies on the graph.
2. When x = -3:
y = 1/3(-3) - 5
y = -1 - 5
y = -6
So, the point (-3, -6) lies on the graph.
3. When x = 0:
y = 1/3(0) - 5
y = 0 - 5
y = -5
So, the point (0, -5) lies on the graph.
4. When x = 3:
y = 1/3(3) - 5
y = 1 - 5
y = -4
So, the point (3, -4) lies on the graph.
5. When x = 6:
y = 1/3(6) - 5
y = 2 - 5
y = -3
So, the point (6, -3) lies on the graph.
Plotting these points on the coordinate plane and connecting them with a straight line, we get the graph of the equation y = 1/3x - 5.
The graph will be a straight line passing through the points (-6, -7), (-3, -6), (0, -5), (3, -4), and (6, -3).