How do you graph #y= x + 1#?

1 Answer
Jan 31, 2017

Shift the graph of #y=x# one unit upwards, or alternatively, select two #x# values, find the #y# coordinates, plot the points and connect them.

Explanation:

First, graph the line #y=x#. It's a line that bisects both right angles created by the negative #x# and #y# axes and the positive #x# and #y# axes:

graph{x [-10, 10, -5, 5]}

Then, shift this graph one unit upwards. The reason for doing this might not be initially apparent, but by adding #1# to the #x# to get #y = x + 1#, you essentially increment the original value of #y# by #1# for any given #x#. This is the final result:

graph{x+1 [-10, 10, -5, 5]}

Alternatively, you can choose two #x# values and find the respective #y# coordinates. Plot the resulting two points, connect them, and extend the line.