Given y varies directly with x, write the equation of the line when x=3 and y=-12?

Answer 1

#y = -4x#

If y and x are in direct proportion, then they are linked by a constant.

#ypropx" "larr# write the proportion
#y = kx" "larr# make an equation with a constant
#y/x = k#
#-12/3 = k" "larr# use the given values to find k.
#k = -4#

Now we can write an equation:

#y = -4x#
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Answer 2

If ( y ) varies directly with ( x ), the equation of the line is ( y = kx ), where ( k ) is the constant of variation. To find ( k ), use the given point (3, -12):

[ -12 = k \cdot 3 ]

[ k = \frac{-12}{3} ]

[ k = -4 ]

Thus, the equation of the line is ( y = -4x ).

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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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