Answer:
y-intercept = 1
x-intercept = 0.5454...
Step-by-step explanation:
The given equation is
[tex]11x+6y=6[/tex]
We need to find x-intercept and y-intercept of the graph.
Substitute x=0 in the given equation, to find y-intercept.
[tex]11(0)+6y=6[/tex]
[tex]6y=6[/tex]
[tex]y=1[/tex]
So, y-intercept is 1.
Substitute y=0 in the given equation, to find x-intercept.
[tex]11x+6(0)=6[/tex]
[tex]11x=6[/tex]
[tex]x=\dfrac{6}{11}=0.545454...[/tex]
So, x-intercept is 0.5454... .
It measn the line pass through the points (0,1) and (0.545,0).
Plot (0,1) and (0.545,0) on a coordinate plane and connect them by a straight line.
The graph is shown below.
