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2 years ago

identify the coordinates of four points on the line with each given slope and y-intercept. slope=-1 and that y-intercept=8

Mathematics

1 answer:

VladimirAG [237]2 years ago

5 0

Answer:

[-1, 9], [-2, 10], [-3, 11], [1, 7]

Step-by-step explanation:

Starting from the y-intercept of [0, 8], I did rise\run by moving one block north over one block west for the first three coordinates, but retracing back to the y-intercept, I moved one block south over one block east for the last coordinate. It does not matter where you go, as long as you follow the pattern within this rate of change [slope].

I am joyous to assist you anytime.

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2 years ago

Find Horizontal and Vertical asymptotes for y=(x^2 -9)/(4x^2 +1)

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Answer: Horizontal asymptote is $\dfrac{1}{4}$ and vertical asymptotes are $\pm \dfrac{1}{2i}$

Step-by-step explanation:

Since we have given that

$y=\dfrac{x^2-9}{4x^2+1}$

We need to find the horizontal and vertical asymptotes.

Since vertical asymptotes will occur where the denominator becomes zero.

So, here denominator is $4x^2+1$

Now,

$4x^2+1=0\\\\4x^2=-1\\\\x^2=\dfrac{-1}{4}\\\\x=\pm \dfrac{1}{2i}$

And the horizontal asympototes will occur when the coefficient of higher degree of numerator is divided by coefficient of higher degree of denominator.

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