Question

1.

Which statement best describes the graph of the
linear equation 2x + 2y = 2
A. The graph has a slope of 1 and a y-intercept
of 2.
B. The graph has a slope of 1 and a y-intercept
of 1
C. The graph has a slope of -1 and a y-intercept
of 2.
D. The graph has a slope of -1 and a y-intercept
of 1

Answer 1

Given:

The linear equation is:

`2x+2y=2`

To find:

The statement that best describes the graph of the given linear equation.

Solution:

The slope intercept form of a linear function is:

`y=mx+b` ...(i)

Where, m is the slope anf b is the y-intercept.

We have,

`2x+2y=2`

It can be written as:

`2y=2-2x`

`y=(2-2x)/(2)`

`y=1-x`

`y=-x+1` (ii)

On comparing (i) and (ii), we get

`m=-1,b=1`

Therefore, the graph has a slope of -1 and a y-intercept of 1. Hence option D is correct.