Write an equation of a line in slope -intercept form thag is parallel to the line 3x-2y=8

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

Where:

m: It's the slope

b: It is the cut-off point with the y axis

By definition, if two lines are parallel then their slopes are equal.

We have the following equation of the line:

We manipulate algebraically:

Thus, a parallel line will have an equation of the form: