Question 222416: i am having trouble understanding how to graph an equation and identify the y intercept for x +2y=10
Answer by rapaljer(4671)   (Show Source):
You can put this solution on YOUR website! To find the y-intercept, let x=0! Always!!! In this case, if x=0, plug it in and get 2y=10, so y=5. This is the y-intercept.
Now, there are two main ways to get the graph. Because this is in STANDARD FORM (that is, the x and y terms are on the same side of the equation!), get the x-intercept by letting y=0. If y=0, then you get x= 10. Graph these two points, connect the dots, and it should look like this:
For additional help on the topic of Graphing Lines, please see my own website. Do a "Bing" search for my last name "Rapalje". Look for "Rapalje Homepage" near the top of the search list. On my Homepage near the top, look for the link "Basic, Intermediate and College Algebra: One Step at a Time." Choose "Basic Algebra", and look in Chapter 4 for the first couple of sections on Graphing and Slope of a Line. In these sections, you will find my own non-traditional explanations, that my own students all said were a LOT easier to understand than traditional textbooks. See also the corresponding "MATH IN LIVING COLOR" pages in which problems are solved IN COLOR! I also have FREE videos on the website of me teaching my classes a few years ago. To access the videos, go back to my Homepage, and look for the link "Rapalje Videos in Living Color." Select "Basic Algebra", and select the video on "Graphing and Slope of a Line."
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Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus
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