SOLUTION: Graph the equation and identify the y-intercept y+x = -2 The y-intercept is __

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Question 194483: Graph the equation and identify the y-intercept

y+x = -2

The y-intercept is ___
(type an ordered pair)
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!
Start with the given equation.

Subtract "x" from both sides.

Rearrange the equation.

Looking at we can see that the equation is in slope-intercept form where the slope is and the y-intercept is

Since this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis

So we have one point

Now since the slope is comprised of the "rise" over the "run" this means

Also, because the slope is , this means:

which shows us that the rise is -1 and the run is 1. This means that to go from point to point, we can go down 1 and over 1

So starting at , go down 1 unit

and to the right 1 unit to get to the next point

Now draw a line through these points to graph

So this is the graph of through the points and

SOLUTION: Graph the equation and identify the y-intercept y+x = -2 The y-intercept is ___ (type an ordered pair)