Graph f(x)= 1/5x+3.

To graph the function f(x) = 1/5x + 3, follow these steps:

Step 1: Determine the slope and y-intercept of the graph:
The equation is in the form y = mx + b, where m represents the slope and b represents the y-intercept. In this case, the slope is 1/5 and the y-intercept is 3.

Step 2: Plot the y-intercept:
The y-intercept is the point where the graph crosses the y-axis. Since the y-intercept is 3, plot a point at (0, 3).

Step 3: Use the slope to find other points:
The slope of 1/5 means that for every unit increase in x, the corresponding y-value increases by 1/5. To find additional points on the graph, choose a value for x and calculate the corresponding y-value using the equation.

For example, if we choose x = 5, we can calculate y as follows:
y = (1/5) * 5 + 3 = 1 + 3 = 4
So, we have one additional point at (5, 4).

Similarly, if we choose x = -5, we can calculate y as follows:
y = (1/5) * -5 + 3 = -1 + 3 = 2
So, we have another point at (-5, 2).

You can find more points by following this process.

Step 4: Connect the points:
Once you have plotted a few points, simply connect them using a straight line. The graph of f(x) = 1/5x + 3 should look like a diagonal line sloping upwards from left to right.