SOLUTION: 6) Graph the equation and identify the y-intercept y+x=-9 the y-intercept is

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: 6) Graph the equation and identify the y-intercept y+x=-9 the y-intercept is      Log On


   

Question 146899: 6) Graph the equation and identify the y-intercept
y+x=-9
the y-intercept is
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
y%2Bx=-9 Start with the given equation


y=-9-x Subtract +x from both sides


y=-x-9 Rearrange the equation



Looking at y=-x-9 we can see that the equation is in slope-intercept form y=mx%2Bb where the slope is m=-1 and the y-intercept is b=-9


Since b=-9 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
slope=rise%2Frun

Also, because the slope is -1, this means:

rise%2Frun=-1%2F1


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 y=-x-9

So this is the graph of y=-x-9 through the points and