Hi
the standard slope-intercept form for an equation of a line is
where m is the slope and b the y-intercept.
2y=4x-6 y = 0, x-intercept is 6/4 = 3/2
8x+4y=-24 y = 0, x-intercept is -3
......
y = 2x - 3, m = 2, y-intercept is -3 (Green) slants to the right...positive slope
y = -2x - 6, m = -2, y-intercept is -6 (Blue) slants to the left...negative slope
.....
Plot intercepts connect with Line
