[tex]\text{The slope-intercept form of an equation of a line:}\\\\y=mx+b\\\\m-slope\\b-y-intercept\\\\\text{We have the equation:}\ f(x)=-\dfrac{2}{3}x+\dfrac{1}{3}\to y=-\dfrac{2}{3}x+\dfrac{1}{3}\\\\the\ slope:\ m=-\dfrac{2}{3}\\\\the\ y-intercept:\ b=\dfrac{1}{3}[/tex]
