A line is defined by the equation Y =-X+3. Which shows the graph of this line? 8 & 4 2 6 8 x -2. 4 5 99 8 4 Mars

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 Question 336645: graph the line y=-x+3

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Answer by jim_thompson5910(35256) About Me  (Show Source):

You can put this solution on YOUR website!

Looking at y=-x%2B3 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=3

Since b=3 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%2B3

So this is the graph of y=-x%2B3 through the points  and

Step-by-step explanation:

the solution is the point

step-by-step explanation:

we have

> equation a

> equation b

adds equation a and equation b

substitute the value of x in equation b to find the value of y

the solution is the point