Sketch graphs of the following lines: *y* = *x*,
*y* = 2 + 0.5*x*, *y* = 5 – *x*.

For *y* = *x*, the slope is 1 and the intercept is 0.
The line goes through (0,0) and *y* increases by 1
for every increase of 1 in *x*.
Your graph should look something like this:

For *y* = 2 + 0.5*x*, the slope is 0.5 and the intercept is 2.
The line goes through (0,2) and *y* increases by 0.5
for every increase of 1 in *x*.
Your graph should look something like this:

For *y* = 5 – *x*, the slope is –1 and the intercept is 5.
The line goes through (0,5) and *y* decreases by 1
for every increase of 1 in *x*.
Your graph should look something like this:

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Last updated: 2 October, 2007.