How do you graph #y = 1/2x- 6# using the slope and intercept?
A lot of method detail given. The actual calculation is a lot faster than given once you are used to equations of this type.
Compare to the standardised form of
Note that the gradient is consequential to reading left to write on the x-axis. This is important as it indicates if the graph is like 'going up a hill' or if it is like 'going down a hill' left to right.
Negative gradient is going down
Positive gradient is going up
So we have
As this is positive the graph 'goes up' reading left to right.
The plot crosses the y-axis at
The plot crosses the x-axis at
Add 6 to both sides
Multiply both sides by 2