SOLUTION: Graph 3x+2y+6

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Question 777736: Graph 3x+2y+6
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Assuming the equation is 3x+2y = 6



x-intercept


To find the x-intercept, plug in y=0 and solve for x


3x%2B2y=6 Start with the given equation.


3x%2B2%280%29=6 Plug in y=0.


3x%2B0=6 Multiply 2 and 0 to get 0.


3x=6 Simplify.


x=%286%29%2F%283%29 Divide both sides by 3 to isolate x.


x=2 Reduce.


So the x-intercept is .


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y-intercept


To find the y-intercept, plug in x=0 and solve for y


3x%2B2y=6 Start with the given equation.


3%280%29%2B2y=6 Plug in x=0.


0%2B2y=6 Multiply 3 and 0 to get 0.


2y=6 Simplify.


y=%286%29%2F%282%29 Divide both sides by 2 to isolate y.


y=3 Reduce.


So the y-intercept is .


Now let's plot the points and which are the x and y intercepts respectively.





Now draw a straight line through the plotted points to graph 3x%2B2y=6.


Graph of 3x%2B2y=6