Question

6x+6y+11=0 what is the slope

Answer 1

-1

Explanation:

Before finding the slope of the line, we have to rewrite its equation in the slope-intercept form, so in the form

`y=mx+q` (1)

Here the equation of the line is

`6x+6y+11=0`

By manipulating the equation we find:

`-6x-11=6y\\y=-(6x+11)/(6)\\y=-x-(11)/(6)`

So, the equation of the line in the slope-intercept form is

`y=-x-(11)/(6)`

And by comparing it with (1), we find:

`m=-1\\q=-(11)/(6)`

So, the slope is -1, and the y-intercept is -11/6.