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Question 259830: Graph each equation. Please show the work of getting the answer.
Let x= -3,-2,-1,0,1,2,3,
y=x-2
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website! Simply plug in the x values of -3,-2,-1,0,1,2, and 3 into y=x-2 separately to find the corresponding y values. You'll get a series of points in which you can then plot and draw a line through to graph y=x-2
Here's another way to do it.
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 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
So this is the graph of through the points and
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