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

1 Answer

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]}