SOLUTION: graph using a table of values 3x-2y=6

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Question 143137: graph using a table of values
3x-2y=6
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
3x-2y=6 Start with the given equation


-2y=6-3x Subtract 3+x from both sides


-2y=-3x%2B6 Rearrange the equation


y=%28-3x%2B6%29%2F%28-2%29 Divide both sides by -2


y=%28-3%2F-2%29x%2B%286%29%2F%28-2%29 Break up the fraction


y=%283%2F2%29x-3 Reduce




In order to graph this equation, we only need two points to create a straight line




--------------------------------Let's find the first point--------------------------------

y=%283%2F2%29x-3 Start with the given equation




y=%283%2F2%29%280%29-3 Plug in x=0 (you can start with any number, but zero is the easiest number to work with since anything multiplied by zero is zero)




y=0-3 Multiply 3%2F2 and 0 to get 0




y=-3 Subtract



So when x=0, we have the value y=-3. This means we have the first point




--------------------------------Let's find the second point--------------------------------

y=%283%2F2%29x-3 Start with the given equation




y=%283%2F2%29%282%29-3 Plug in x=2




y=6%2F2-3 Multiply 3%2F2 and 2 to get 6%2F2




y=3-3 Reduce 6%2F2 to get 3




y=0 Subtract



So when x=2, we have the value y=0. This means we have the second point




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So we have the two points: and


Now plot these two points on a coordinate system





Now draw a straight line through the two points. This line is the graph of y=%283%2F2%29x-3

Graph of y=%283%2F2%29x-3 through the two points and