Final answer:
In order to graph the function f(x) = -1/3 * x + 1, we can use the slope-intercept form of a linear equation. We select two points that satisfy the equation and draw a line through them to graph the function.
Step-by-step explanation:
To graph the function f(x) = -1/3 * x + 1, we can use the line tool and select two points to plot the line.
Step 1: Choose two values for x. Let's pick x = 0 and x = 3.
Step 2: Substitute these x-values into the equation to find the corresponding y-values.
- For x = 0:
f(0) = -1/3 * 0 + 1
= 0 + 1
= 1
So, the first point is (0, 1).
- For x = 3:
f(3) = -1/3 * 3 + 1
= -1 + 1
= 0
So, the second point is (3, 0).
Step 3: Plot the two points (0, 1) and (3, 0) on the graph.
Step 4: Use the line tool to draw a straight line passing through these two points.
Now you have graphed the function f(x) = -1/3 * x + 1.