SOLUTION: graph each line using slope and y-intercept y = x + 7 y = -x + 2

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Question 329980: graph each line using slope and y-intercept
y = x + 7
y = -x + 2

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'll graph the first one to show you how to do these problems.


Looking at y=x%2B7 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=7


Since b=7 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 up 1 and over 1



So starting at , go up 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%2B7

So this is the graph of y=x%2B7 through the points and