Answer
y=1x-5
Work Step by Step
Between the first and second pair, we see that there is a change of 3 in both the x and y direction. This means as x goes up by 1, y also goes up by 1, giving the slope of the graph, 1. Since we know that the graph is y=1x+a, we can plug one of the pairs in to see that -2=1(3)+a, deducing that a=-5. Thus, the function for this graph is y=1x-5.
