Question 270145
your equation is:


3x+4y=12


you have to solve for y to get:


y = (12-3x)/4


now you can graph the equation.


your graph looks like this:


{{{graph(600,600,-5,5,-5,5,(12-3x)/4)}}}


note that the slope intercept form of a linear equation is y = mx + b where m is the slope and b is the y intercept.


I just solved for y.


I can make that equation into the slope intercept form very easily though.


I gave you the equation of :


y = (12-3x)/4


I divide this equation out to get:


y = (12/4) - (3x/4)


I simplify to get:


y = 3 - (3/4)*x


I rearrange the terms on the right side of the equation to get:


y = -(3/4)*x + 3


The slope is -(3/4) and the y intercept is 3


If you look at the graph, you will see that when x = 0, y = 3.  That's your y-intercept point.


You will also see that when x move 4 units in the positive direction (from x = 0 to x = 4), y move 3 units in the negative direction (from y = 3 to y = 0).


That's your slope (-3/4) which is the change in y divided by the change in x