neither
• Parallel lines have equal slopes
• The product of perpendicular slopes = - 1
the equation of a line in slope-intercept form is
y = mx + c ( m is the slope and c the y-intercept )
y = [tex]\frac{5}{3}[/tex] x + 3 is in this form
with slope m = [tex]\frac{5}{3}[/tex]
rearrange 20x + 12y = 12 into this form
subtract 20x from both sides
12y = - 20x + 12 ( divide all terms by 12 )
y = - [tex]\frac{5}{3}[/tex] + 1 ← in slope-intercept form
with slope m = - [tex]\frac{5}{3}[/tex]
Neither of the conditions for parallel/ perpendicular slopes are met
Hence the lines are neither parallel/ perpendicular
