Question 595225
To find the slope, solve for y and get the equation into slope intercept form.



{{{2x+3y=12}}} Start with the given equation.



{{{3y=12-2x}}} Subtract {{{2x}}} from both sides.



{{{3y=-2x+12}}} Rearrange the terms.



{{{y=(-2x+12)/(3)}}} Divide both sides by {{{3}}} to isolate y.



{{{y=((-2)/(3))x+(12)/(3)}}} Break up the fraction.



{{{y=-(2/3)x+4}}} Reduce.



So the equation {{{y=-(2/3)x+4}}} is now in slope intercept form {{{y=mx+b}}} where the slope is {{{m=-2/3}}}