Question

Find the x-intercept and the y-intercept of the graph of the equation 11x + 6y = 6. Then graph the equation.

Answer 1

y-intercept = 1

x-intercept = 6/11 or 0.545

The graph is attached below. Hope this helps you out! :)

Answer 2

y-intercept = 1

x-intercept = 0.5454...

Explanation:

The given equation is

`11x+6y=6`

We need to find x-intercept and y-intercept of the graph.

Substitute x=0 in the given equation, to find y-intercept.

`11(0)+6y=6`

`6y=6`

`y=1`

So, y-intercept is 1.

Substitute y=0 in the given equation, to find x-intercept.

`11x+6(0)=6`

`11x=6`

`x=(6)/(11)=0.545454...`

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.