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What are the intercepts of 2x+6y=36?
x-intercept:
y-intercept

1 Answer

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Final answer:

The x-intercept is (18, 0) and the y-intercept is (0, 6).


Step-by-step explanation:

To find the x-intercept, we set y = 0 and solve for x. Plugging in y = 0 into the equation, we get 2x + 6(0) = 36. Simplifying this equation gives us 2x = 36. Dividing both sides by 2, we find that x = 18. Therefore, the x-intercept is (18, 0).

To find the y-intercept, we set x = 0 and solve for y. Plugging in x = 0 into the equation, we get 2(0) + 6y = 36. Simplifying this equation gives us 6y = 36. Dividing both sides by 6, we find that y = 6. Therefore, the y-intercept is (0, 6).


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