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Arada [10]
3 years ago
15

Which of the following point-slope form equations could be produced with the points (-1, 4) and (2, -3)?

Mathematics
1 answer:
Nikolay [14]3 years ago
3 0

Answer:

Option B, y + 3 = -7/3(x - 2)

Step-by-step explanation:

<u>Point slope form:  (y - y1) = m(x - x1)</u>

<u />

<u>Step 1:  Find the slope</u>

m = \frac{y2 - y1}{x2 - x1}

m = \frac{-3 - 4}{2 - (-1)}

m = \frac{-7}{2 + 1}

m = \frac{-7}{3}

<u>Step 2:  Plug into the point slope form</u>

(y - 4) = -7/3(x - (-1))

(y - 4) = -7/3(x + 1)

OR

(y - (-3)) = -7/3(x - 2)

y + 3 = -7/3(x - 2)

Answer:  Option B, y + 3 = -7/3(x - 2)

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f^-1(x) = sq.rt 5(x - 10)/5, sq.rt 5(x - 10)/5 is the inverse of y = 5x^2 +10

Step-by-step explanation:

interchanging the variables

x = 5y^2 + 10

5y^2 +10 = x

5y^2 = x - 10

dividing by 5

5y^2/5 = x/5 + -10/5

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g(5x^2 + 10) = 5x/5

g(5x^2 + 10) = x

f^-1(x) = sq.rt 5(x - 10)/5, sq.rt 5(x - 10)/5 is the inverse of y = 5x^2 +10

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