# How do you graph #y = 1/2x- 6# using the slope and intercept?

##### 1 Answer

See explanation.

A lot of method detail given. The actual calculation is a lot faster than given once you are used to equations of this type.

#### Explanation:

Given:

Compare to the standardised form of

Where

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.

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The plot crosses the y-axis at

The plot crosses the x-axis at

Add 6 to both sides

Multiply both sides by 2