SOLUTION: write each equation in slope intercept form determine the slope and the y- intercept and use them to draw the graph of the linear equation y=-x+2

Algebra ->  Linear-equations -> SOLUTION: write each equation in slope intercept form determine the slope and the y- intercept and use them to draw the graph of the linear equation y=-x+2      Log On


   

Question 664431: write each equation in slope intercept form determine the slope and the y- intercept and use them to draw the graph of the linear equation
y=-x+2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The equation is already in slope-intercept form.

Looking at y=-x%2B2 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=2


Since b=2 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%2B2

So this is the graph of y=-x%2B2 through the points and