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Question 248599: graph the equation.include all intercepts
3x-6y=12
Answer by College Student(505)   (Show Source):
You can put this solution on YOUR website! To graph the equation:
1. we should solve for "y"
2. then draw a table of two columns, one labeled "x", the other "y"
3. assign a value to "x", then calculate for "y" (this yields our first point)
4. assign anothe value to "x", solve for "y" (this would yield our second point) Now you're ready to trace a line.
5. You may assign more "x" values to find more "y" values. They would just reinforce your line has been drawn correctly.
To include all intercepts:
1. we set "x" to zero and solve for "y"
2. we set "y" to zero and solve for "x"
Problem:
Let's solve for 3 "y" values and include zero to find the "y" intercept.
 <--- when x=-2, y=-3 ...so we get point (-2,-3)
 <--- when x=0, y=-2 ...so we get point (0,-2)
 <--- when x=2, y=-1 ...so we get point (2,-1)
Let's now solve for 3 "x" values and include zero to find the "x" intercept.
<--- original equation
 <--- solving for x equation
 <--- when y=2, x=8 ...so we get point (8,2)
 <--- when y=0, x=4 ...so we get point (4,0)
 <--- when y=-2, x=0 ...so we get point (0,-2)
The graph of is shown below.
If you look closely, all the points we came up with are represented in this graph.
Points: (-2,-3); (0,-2); (2,-1); (8,2); and (4,0).
Notice our intercepts: (0,-2) and (4,0)
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