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How to find the x and y-intercept given #2x + y = 6#?

Answer 1

Eva Adamson

To find x-intercept, make y = 0 -> 2x = 6 -> x = 3

To find y-intercept, make x = 0 -> y = 6.

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Answer 2

Avery Alexander

To find the x-intercept, set ( y ) to 0 and solve for ( x ). To find the y-intercept, set ( x ) to 0 and solve for ( y ).

For the x-intercept: [ 2x + y = 6 ] [ 2x + 0 = 6 ] [ 2x = 6 ] [ x = \frac{6}{2} ] [ x = 3 ]

For the y-intercept: [ 2(0) + y = 6 ] [ y = 6 ]

So, the x-intercept is 3 and the y-intercept is 6.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.