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How do you find the slope and intercept of #9y - 2x = 0#?

Answer 1

Julia Adams

see below

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Answer 2

Avery Alexander

To find the slope and intercept of the equation (9y - 2x = 0), first, solve for (y) in terms of (x).

Starting with (9y - 2x = 0), add (2x) to both sides to get:

[9y = 2x]

Then, divide both sides by (9) to solve for (y):

[y = \frac{2x}{9}]

This equation is now in the slope-intercept form, which is (y = mx + b), where (m) is the slope and (b) is the y-intercept.

From the equation (y = \frac{2}{9}x), the slope ((m)) is (\frac{2}{9}), and since there is no constant added to (\frac{2x}{9}), the y-intercept ((b)) is (0).

So, the slope is (\frac{2}{9}) and the intercept (y-intercept) is (0).

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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.