To find the slope of the line given by the equation 5y = x + 3, we first need to rewrite it in the slope-intercept form, which is y = mx + b. Here, m represents the slope.
Starting with the given equation:
5y = x + 3
Next, we divide both sides of the equation by 5:
y = (1/5)x + 3/5
Now, we can clearly see that this is in the form y = mx + b, where m = 1/5 and b = 3/5. Thus, the slope of the line is 1/5.
In summary, the slope of the line whose equation is 5y = x + 3 is 1/5.