Answer:
3x - 2 = 2y
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 3x + 5 = 2y into this form by dividing all terms by 2
[tex]\frac{3}{2}[/tex] x + [tex]\frac{5}{2}[/tex] = y ← in slope- intercept form
with slope m = [tex]\frac{3}{2}[/tex]
Parallel lines have equal slopes and c = - 1, thus
y = [tex]\frac{3}{2}[/tex] x - 1 ← in slope- intercept form
Multiply through by 2
2y = 3x - 2 ← equation of line
