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:

Point slope form: (y - y1) = m(x - x1)

Step 1: Find the slope

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

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

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

m = $\frac{-7}{3}$

Step 2: Plug into the point slope form

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

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

(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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liq [111]

Answer:

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Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

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$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

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