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.
