I plotted on my 3D grapher and the line I got intercepted the y-axis at not . The line they plotted in Photobucket is the equation . I would say that it is incorrect. Your y-intercept is clearly .
I'm just going to link a picture to the question in my book since I have no idea how I would even attempt to draw a graph on here manually.
Basically, I don't understand why in the equation "y = -2/3x - 3" when they go to plot it on the graph, they're making the -3 a positive 3 instead, and there are other parts in the book that have a similar equation where both the slope and the y intercept are negatives, but they use both as positives when turning it into the graph portion, and I really don't understand why.
Any help would be much appreciated in understanding why that is.
mathproblem_zpsa6456c35.png Photo by Azuraiiii | Photobucket
there should be no confusion as far as slope intercept form is concerned. for the equation y = -2/3 x - 3, the y intercept is -3 and the coordinates of the point will be ( 0, -3 ). The slope is - 2/3 this one mas consider 9 -2 ) / 3 OR 2 / ( -3 ) and locate the next point and then draw the line. Anything otherwise would be wrong.
Strange, but Wolfram Alpha agrees with your book. http://www.wolframalpha.com/input/?t=crmtb01&f=ob&i=plot%20-(2%2F3)%20x%20-3