Answer:
The graph of given equation is shown below.
Step-by-step explanation:
The given function is
[tex]f(x)=-\frac{1}{3}x+1[/tex]
We need to draw the graph of given equation.
At x=0,
[tex]f(0)=-\frac{1}{3}(0)+1=1[/tex]
So, y-intercept is 1.
Equate f(x)=0 to find x-intercept.
[tex]-\frac{1}{3}x+1=0[/tex]
[tex]-\frac{1}{3}x=-1[/tex]
Multiply both sides by -3.
[tex]x=3[/tex]
So, x-intercept of the line is 3.
Plot these two points (0,1) and (3,0) on coordinate plane and connect them by a straight line.
