SOLUTION: Determine the intercepts of 6x+9y=18 please show work thanks

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Question 178409: Determine the intercepts of 6x+9y=18
please show work thanks
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

x-intercept


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


6x%2B9y=18 Start with the given equation.


6x%2B9%280%29=18 Plug in y=0.


6x%2B0=18 Multiply 9 and 0 to get 0.


6x=18 Simplify.


x=%2818%29%2F%286%29 Divide both sides by 6 to isolate x.


x=3 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


6x%2B9y=18 Start with the given equation.


6%280%29%2B9y=18 Plug in x=0.


0%2B9y=18 Multiply 6 and 0 to get 0.


9y=18 Simplify.


y=%2818%29%2F%289%29 Divide both sides by 9 to isolate y.


y=2 Reduce.


So the y-intercept is .