How do you find the direct variation equation of the graph through the points (0, 0) and (1, -2)?

Answer 1

#x*y = -2#

If the graph of a linear relation passes through the origin and is neither horizontal nor vertical, then it is a direct variation equation of the form: #color(white)("XXX")x*y = m# where #m# is the slope of the line: #(Delta y)/(Delta x)# In this case: #m=(-2-0)/(1-0)= -2#
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Answer 2

To find the direct variation equation, use the formula ( y = kx ), where ( k ) is the constant of variation. First, find the value of ( k ) using the given points. Then, substitute ( k ) into the equation.

  1. Find ( k ) using the points (0, 0) and (1, -2): [ k = \frac{y_2 - y_1}{x_2 - x_1} ] [ k = \frac{-2 - 0}{1 - 0} = -2 ]

  2. Substitute ( k = -2 ) into the equation: [ y = -2x ]

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Answer 3

To find the direct variation equation of the graph through the points (0, 0) and (1, -2), we use the formula for direct variation, which is (y = kx), where (k) is the constant of variation.

First, we calculate the constant of variation ((k)) using one of the given points. Let's use the point (1, -2):

[-2 = k(1)]

Solving for (k):

[k = -2]

Now that we have the constant of variation, we can write the direct variation equation:

[y = -2x]

So, the direct variation equation of the graph through the points (0, 0) and (1, -2) is (y = -2x).

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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.

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.

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.

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.

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