# A line has the equation #2y=-3x+1#, how do you find an equation of a line parallel to this line that has a y intercept of -2?

##### 1 Answer

See the process for solving this problem below in the Explanation:

#### Explanation:

First, we need to put the line from the problem in the slope-intercept form by solving for

The slope-intercept form of a linear equation is:

Where

So we know the slope of the line from the question is

And, a parallel line by definition has the same slope so the slope of the line we are looking for also has a slope of

And because we know the