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What are the intercepts of #9y+2x=3#?

Answer 1

Abigail Allen

#color(red)("x-intercept " = a = 3/2, " y-intercept " = b = 1/3#

#9y + 2x = 3#

#(2/3) x + (9/3) y = 1#

#x/(3/2) + y / (1/3) = 1#

It's in the standard intercept form of #x / a + y / b = 1#

#:. color(red)("x-intercept " = a = 3/2, " y-intercept " = b = 1/3#

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Answer 2

Kennedy Adams

To find the intercepts of the equation 9y + 2x = 3, we set each variable to zero one at a time and solve for the other variable:

To find the x-intercept, set y = 0: 9(0) + 2x = 3 2x = 3 x = 3/2
To find the y-intercept, set x = 0: 9y + 2(0) = 3 9y = 3 y = 1/3

So, the x-intercept is (3/2, 0) and the y-intercept is (0, 1/3).

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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.