Given:
The linear equation is:
[tex]2x+2y=2[/tex]
To find:
The statement that best describes the graph of the given linear equation.
Solution:
The slope intercept form of a linear function is:
[tex]y=mx+b[/tex] ...(i)
Where, m is the slope anf b is the y-intercept.
We have,
[tex]2x+2y=2[/tex]
It can be written as:
[tex]2y=2-2x[/tex]
[tex]y=\dfrac{2-2x}{2}[/tex]
[tex]y=1-x[/tex]
[tex]y=-x+1[/tex] (ii)
On comparing (i) and (ii), we get
[tex]m=-1,b=1[/tex]
Therefore, the graph has a slope of -1 and a y-intercept of 1. Hence option D is correct.
