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Dennis_Churaev [7]
4 years ago
10

Write the equation in slope-intercept form that contains the following two points.

Mathematics
1 answer:
viva [34]4 years ago
6 0

Answer:

y = -3/2 x +5

Step-by-step explanation:

slope = (y2-y1)/(x2-x1)

m= (8--1)/(-2-4)

m= (8+1)/(-2-4)

m= (9/-6)

m=-3/2


point slope form

y-y1=m(x-x1)

y--1 = -3/2(x-4)

distribute

y+1 = -3/2x +3/2 *4

y+1 = -3/2x + 6

subtract 1 from each side

y = -3/2 x +6-1

y = -3/2 x +5

this is in slope intercept form (y=mx+b)

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The new mean and standard deviation is 26 and 15, when each score in data set is multiplied by 5 and then 7 is added.

According to the question,

Original mean is 10 and original standard deviation is 5 . In order to find to new mean and standard deviation when each score in data set is multiplied by 5 and then 7 is added.

First "change of scale" when every score in a data set is multiplied by a constant, its mean and standard deviation is multiplied by a same constant.

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Secondly "change of origin" when every score in a data set by a constant, its mean get  added or subtracted by the same constant and standard deviation remains constant.

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[Graph]

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