When comparing the slopes of the functions you must first make y the subject of formula.
6x - y - 2 = 0 => y = 6x - 2 => slope is 6
2y = 3/2 x + 6 => y = 3/4 x + 3 => slpoe = 3/4
5 = 2x + 4y - 3 => 4y = -2x + 5 + 3 = -2x + 8 => y = -1/2 x + 2 => slope = -1/2
The first function is steepest followed by the second function and then the third function.
The slope is not affected by the y-intercept neither is the y-intercept affected by the slope.
