Write an equation in point-slope form of the line that passes through (4,1),(-2,7)

Mathematics

1 answer:

pentagon [3]3 years ago

8 0

Answer:

(y - 1) = -1 (x - 4)

Step-by-step explanation:

Step 1: Find the m (slope) using slope formula

(y2 - y1)/(x2 - x1) aka (7 - 1)/(-2 - 4) = 6/-6 thus, m (slope) is -1

Step 2: Use point of your choice (I used [4,1]) and plug the slope and point into equation. Note: equation is (y - y1) = m (x - x1)

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<h3>Answer: 0.061</h3>

===============================================

Explanation:

Add up the values to get

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---------------------

Now make a spreadsheet as shown below

We have the first column as the x values, which are the original numbers your teacher provided. The second column is of the form (x-M)^2, where M is the mean we computed earlier. We subtract off the mean and square the result.

After we compute that column of (x-M)^2 values, we add them up to get what is shown in the highlighted yellow cell at the bottom of the column.

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That is the sample variance. Apply the square root to this to get the sample standard deviation. This is the point estimate of the population standard deviation. As the name implies, it works for samples that estimate population parameters.

sqrt(0.00366923077) = 0.06057417576822

This rounds to 0.061 which is the final answer.