How do you graph #y = x + 3#?

1 Answer
Apr 16, 2017

See below

Explanation:

The graph is already in the form #y=mx+b# where #m# is the slope and #b# is the y-intercept.

In this case, our y-intercept is #3# and our slope is the imaginary #1# that's in front of #x#.

So you make a point at #(0,3)#. Then, using the slope, we can see that adding #1# to #x# would do the same to #y# and subtracting #1# from #x# would subtract #1# to #y#. So a couple of other points would be #(1,4)#, #(2,5)#, and if we're going down, #(-1,2)#. Now we can just connect the dots:

graph{y=x+3 [-10, 10, -5, 5]}