Question

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

Answer 1

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.