Question

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:

$2y=2-2x$

$y=\dfrac{2-2x}{2}$

$y=1-x$

$y=-x+1$             (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.