Write the equation of the line that is parallel to 2x=1-3y and passes through (9,4).

The relationship between parallel lines is that they have the same slope. The equation of the line that is parallel to and passes through (9,4) is

Given that:

First, we make y the subject

Divide both sides by 3

A linear equation is represented as:

Where:

So, by comparison:

Parallel lines have the same slope.

So the slope of the line that passes through (9,4) is

The equation is then calculated as:

Where:

So, the equation becomes:

Expand

Hence, the equation of the line that is parallel to and passes through (9,4) is

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