# How do you write an equation of a line that passes through the point (3, 2) and is parallel to the line y=3x-4?

##### 1 Answer

#### Explanation:

For a line to be parallel to another line, by definition it must have the same slope. Because the equation is in the slope-intercept form we can use the slope of the line.

The slope-intercept form of a linear equation is:

Where

Therefore, for the given equation the slope is

Now we can use the point slope formula to determine the equation for the parallel line.

The point-slope formula states:

Where

Substituting the slope from the given line and the given point gives:

Transforming this to the slope-intercept form by solving for