Step-by-step explanation:
Given equation is
6x -2y= 32.........i)
Slope of line I) is
[tex]m1 = \frac{ - x \: coefficient}{y \: coefficient} \\ = \frac{ - 6}{ - 2} \\ = 3[/tex]
Now
As it is said that the lines are parallel so slope, m1 = m2
So the slope of a line parallel to line I) is
= 3
Hope it will help :)❤