Answer:
y = [tex]\frac{3}{5}[/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 5y = 3x + 12 into this form
divide all terms by 5
y = [tex]\frac{3}{5}[/tex] x +[tex]\frac{12}{5}[/tex] ← in slope-intercept form
with slope m = [tex]\frac{3}{5}[/tex]
• Parallel lines have equal slopes, hence
y = [tex]\frac{3}{5}[/tex] x + 2 ← equation of parallel line
