Question 57570
Graph
3x + 5y = 12 by the slope intercept method.
In order to use the slope intercept methos=d, we must put the equation into slope intercept form: {{{highlight(y=mx+b)}}}, where m=slope, and (0,b)=y-intercept.
-3x+3x+5y=-3x+12
5y=-3x+12
{{{5y/5=-3x/5+12/5}}}
{{{y=(-3/5)x+12/5}}}
The y-intercept is: (0,12/5) which is (0,2 2/5), because your y-intercept is a fraction you wouldn't want to use this method unless your instructions said you had to,
Plot (0,2 2/5) this is a little less than half way to 3 on the y-axis.
From that point use your slope: {{{m=-3/5}}}.  Slope is rise/run, so rise -3 (go down 3 units) and run 5 (go right 5 units) and plot a second point. (this should be (5, -3/5).)
The graph should look like this:
{{{graph(300,200,-10,10,-10,10,(-3/5)x+12/5)}}}
Happy Calculating!!!