Question

How do you graph the equation `x+y=-6` and identify the y intercept?

Answer 1

Convert to slope intercept form. See below:

Explanation:

We can change this equation into the slope intercept form and that will show the y-intercept right away:

`x+y=-6`

`y=-x-6`

and so the y-intercept is `-6`

To graph this, we can start with point `(0,-6)`, the y-intercept and then look to the slope of the line. The slope is `-1`, and so for each unit we move right, we move one unit down. So the next point we can graph is `(1,-7)`. Connect those two points with a straight edge and it'll look like this:

graph{-x-6 [-10, 5, -10, 5]}