A line parallel to this one would have the same gradient (since the lines won't get closer or go farther) and maybe a different y intercept ("maybe" because a line would be parallel to itself)
So' y= (4/5)x + c
Line passes through (5,8) Plug in the x and y values into the equation to find c: (4/5)(5) + c =8 4+c=8 Therefore, c = 8-4 = 4
So the new equation is y= (4/5)x+4
Now, we could put this back into the same format as the question because why not. We find the common denominator of the right hand side of the equation: y= (4/5)x +(20/5) = (4x+20)/5 Multiply both sides of the equation by 5: 5y = 4x+20 Therefore 4x-5y = -20.
