Use the given conditions to write an equation for the line in point-slope form and in general form.

First, let's convert the given line equation into slope-intercept form to find the slope.
Let's start converting by subtracting both sides by 3x.



Add both sides by 5.



Divide both sides by -2.



The slope of the equation given is 3/2. Since the point-slope form line is parallel to that, the point-slope form equation must also have a slope of 3/2.

Now, let's use point-slope form.

For a line with slope m and that passes through , the point slope form equation is the following:



We know the passing point and the slope. Now, let's plug them into the point-slope form formula.




That is your answer for the point-slope form equation.
To change this to general form, distribute first.



Subtract both sides by and 12.



Multiply both sides by -2



That's your answer for the general form equation.
I hope this helps and have an awesome day! :)