Answer:
y = - [tex]\frac{3}{2}[/tex] x - 2
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 2y = - 3x + 1 into this form
divide all terms by 2
y = - [tex]\frac{3}{2}[/tex] x + [tex]\frac{1}{2}[/tex] ← in slope-intercept form
with m = - [tex]\frac{3}{2}[/tex]
• Parallel lines have equal slopes
given y-intercept = - 2 ⇒ c = - 2
y = - [tex]\frac{3}{2}[/tex] x - 2 ← equation of parallel line
