If c is a positive integer, how does the graph of y=x+c compare to the graph of y=x?

It is shifted c units to the left.

Step-by-step explanation:

In general, adding a constant c to the value of x shifts a graph c units to the left.

The graph of y = x + c is parallel to y = x, the y-intercept becomes (0, c) and the x-intercept becomes (-c, 0).

In the diagram below, the red line is the graph of y = x, and the blue line is the graph of y = x + 1.