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:

To find:

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

Solution:

The slope intercept form of a linear function is:

...(i)

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

We have,

It can be written as:

(ii)

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

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