The given equation is in GENERAL form
7x+4y-12 = 0
Get it into SLOPE-INTERCEPT form.
Isolate the term that contains y:
4y = -7x+12
Divive every term through by 4:
= x+
y = x + 3
This is in the slope-intercept form, which is
y = mx+b
where m is the slope and (0,b) is the y-intercept.
So is the slope and (0,3) is the y-intercept.
Edwin