SOLUTION: how do you do the linear equation y=4-x?????????

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Question 660771: how do you do the linear equation y=4-x?????????

Found 2 solutions by jim_thompson5910, MathLover1:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
If you want to graph, then...

Start by rearranging terms to get y=-x%2B4

Looking at y=-x%2B4 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=4


Since b=4 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%2B4

So this is the graph of y=-x%2B4 through the points and

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
if you have the linear equation, means its graph is a line
y=4-x...rearrange terms on right side
y=-x%2B4....this is a slope-intercept form of linear equation (y=mx%2Bb where m is a slope and b is y-intercept)
so, in your case m=-1 and b=4
if slope is negative, means the line will mainly go through II and IV quadrant
y-intercept is at (0,4)....now we have one point to plot on Cartesian coordinate system, and we need one more point to plot a line
easiest way is to find x-intercept if you set y=0:
0=-x%2B4...=>...x=4
so, x-intercept is at (4,0)

+graph%28+600%2C+600%2C+-6%2C+10%2C+-10%2C+10%2C-x%2B4%29+