SOLUTION: graph: y=2/3x-1

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Question 235238: graph: y=2/3x-1
Found 2 solutions by jim_thompson5910, cutecherry:
Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!

Looking at y=%282%2F3%29x-1 we can see that the equation is in slope-intercept form y=mx%2Bb where the slope is m=2%2F3 and the y-intercept is b=-1


Since b=-1 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

drawing%28500%2C500%2C-10%2C10%2C-10%2C10%2C%0D%0A++grid%281%29%2C%0D%0A++blue%28circle%280%2C-1%2C.1%29%29%2C%0D%0A++blue%28circle%280%2C-1%2C.12%29%29%2C%0D%0A++blue%28circle%280%2C-1%2C.15%29%29%0D%0A%29


Now since the slope is comprised of the "rise" over the "run" this means
slope=rise%2Frun

Also, because the slope is 2%2F3, this means:

rise%2Frun=2%2F3


which shows us that the rise is 2 and the run is 3. This means that to go from point to point, we can go up 2 and over 3



So starting at , go up 2 units
drawing%28500%2C500%2C-10%2C10%2C-10%2C10%2C%0D%0A++grid%281%29%2C%0D%0A++blue%28circle%280%2C-1%2C.1%29%29%2C%0D%0A++blue%28circle%280%2C-1%2C.12%29%29%2C%0D%0A++blue%28circle%280%2C-1%2C.15%29%29%2C%0D%0A++blue%28arc%280%2C-1%2B%282%2F2%29%2C2%2C2%2C90%2C270%29%29%0D%0A%29

and to the right 3 units to get to the next point
drawing%28500%2C500%2C-10%2C10%2C-10%2C10%2C%0D%0A++grid%281%29%2C%0D%0A++blue%28circle%280%2C-1%2C.1%29%29%2C%0D%0A++blue%28circle%280%2C-1%2C.12%29%29%2C%0D%0A++blue%28circle%280%2C-1%2C.15%29%29%2C%0D%0A++blue%28circle%283%2C1%2C.15%2C1.5%29%29%2C%0D%0A++blue%28circle%283%2C1%2C.1%2C1.5%29%29%2C%0D%0A++blue%28arc%280%2C-1%2B%282%2F2%29%2C2%2C2%2C90%2C270%29%29%2C%0D%0A++blue%28arc%28%283%2F2%29%2C1%2C3%2C2%2C+180%2C360%29%29%0D%0A%29


Now draw a line through these points to graph y=%282%2F3%29x-1

drawing%28500%2C500%2C-10%2C10%2C-10%2C10%2C%0D%0A++grid%281%29%2C%0D%0A++graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C%282%2F3%29x-1%29%2C%0D%0A++blue%28circle%280%2C-1%2C.1%29%29%2C%0D%0A++blue%28circle%280%2C-1%2C.12%29%29%2C%0D%0A++blue%28circle%280%2C-1%2C.15%29%29%2C%0D%0A++blue%28circle%283%2C1%2C.15%2C1.5%29%29%2C%0D%0A++blue%28circle%283%2C1%2C.1%2C1.5%29%29%2C%0D%0A++blue%28arc%280%2C-1%2B%282%2F2%29%2C2%2C2%2C90%2C270%29%29%2C%0D%0A++blue%28arc%28%283%2F2%29%2C1%2C3%2C2%2C+180%2C360%29%29%0D%0A%29 So this is the graph of y=%282%2F3%29x-1 through the points and

Answer by cutecherry(1) About Me  (Show Source):