Question 314252
The slope-intercept form is: y = mx+b where m is the slope and b is the y-intercept, so...
{{{4x+3y = 12}}} Subtract 4x from both sides.
{{{3y = -4x+12}}} Divide both sides by 3 to get y by itself.
a) {{{highlight(y = (-4/3)x+4)}}} compare with the standard form...
{{{y = mx+b}}}
The slope, {{{highlight(m = -4/3)}}}
The y-intercept, {{{highlight(b = 4)}}}
d) The graph:
{{{graph(400,400,-5,5,-5,5,(-4/3)x+4)}}}