# How do you graph y= x + 1?

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.