Question 23362: could somebody PLEASE show me how to graph this inequality?
y>_ 2x+3 and another equality I need help with is y>-3x-1 these are really difficult for me to understand how to graph. PLEASE somebody help. thank you
Answer by rapaljer(4671)   (Show Source):
You can put this solution on YOUR website! NOTE: If you have trouble graphing a straight line, with slope and y-intercept, see my NEW lesson plans in algebra.com for this topic under the heading of "Graphing."
For the inequality  , first graph the equation  , which is in slope-intercept form, with y-intercept at y=3, and slope =  . Begin by graphing the y-intercept by going up 3 units on the y-axis and put a point. From this point go UP 2 units, then go 1 unit to the right, and put another point. Connect the points, and that's your graph, which should look like this:
Now because the problem is , with a >=, this means to shade ABOVE the line, and INCLUDE THE LINE, so draw the line SOLID. I can't do that shading with algebra.com, so you will have to do that for yourself.
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For the inequality  , first graph the equation  , which is in slope-intercept form, with y-intercept at y=-1, and slope =  . Begin by graphing the y-intercept by going down 1 units on the y-axis and put a point. From this point go DOWN 3 units, then go 1 unit to the right, and put another point. Connect the points, and that's your graph, which should look like this:
Now because the problem is , with a >, this means to shade ABOVE the line, but do NOT INCLUDE THE LINE, so draw the line DOTTED. AS in the previous problem I can't draw the dotted line and I can't shade the graph in algebra.com, so you will have to do that for yourself.
R^2 at SCC
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