1) Since we have a line described by this equation y=-4/5x -8, and it is written in the slope-intercept form. It is convenient for us to rewrite those into the slope-intercept form.
a) 5y-4x=-10 Add 4x to both sides
5y = -10 +4x Divide both sides by 5
y= -10/5 +4/5x
y= 4/5x -2
b) 5x-4y = -20 Subtract 5x to both sides
-4y= -20 -5x Divide both sides by -4
y = 5 +5/4x
y= 5/4x +5
c) 5x +4y = -24
4y = -24 -5x
y = -6 -5/4x
d) 4x +5y= 35
5y= 35-4x
y= 7-4/5x
2) Since Parallel lines have the same slope, then the line parallel to Y = -4/5x -8 is y= 7-4/5x (4x +5y=35)