Graph the equation by first finding the​ x- and​y-intercepts.one half x plus one third y equals 1

Answer:x-intercept: (2,0)y-intercept: (0,3)Step-by-step explanation:We are asked to graph our given equation [tex]\frac{1}{2}x+\frac{1}{3}y=1[/tex].To find x-intercept, we will substitute [tex]y=0[/tex] in our given equation.[tex]\frac{1}{2}x+\frac{1}{3}(0)=1[/tex][tex]\frac{1}{2}x+0=1[/tex][tex]2*\frac{1}{2}x=2*1[/tex][tex]x=2[/tex]Therefore, the x-intercept is [tex](2,0)[/tex].To find y-intercept, we will substitute [tex]x=0[/tex] in our given equation.[tex]\frac{1}{2}(0)+\frac{1}{3}y=1[/tex][tex]0+\frac{1}{3}y=1[/tex][tex]3*\frac{1}{3}y=3*1[/tex][tex]y=3[/tex]Therefore, the y-intercept is [tex](0,3)[/tex].Upon connecting these two points, we will get our required graph as shown below.