How to put an equation in slope intercept form?

1 answer:

3 0

Hi there!

Keep in mind it depends on the equation.

I will give you an example, though.

Say that we have to put this equation into slope intercept form:

2x - y = -3

All you need to do is flip some of the variables to different sides.

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

2x + 3 = y

y = 2x + 3

This means that the line intercepts 3 on the y-axis and has a positive slope of 2.

But due to lack of context, I do not know what equation you are trying to convert.

I am sorry.

Maybe if you can give me an example of what you are trying to put into slope-intercept form?

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The summer monsoon rains bring 80 % of India's rainfall and are essential for the country's agriculture. Records going back more

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Answer:

95% of monsoon rainfall lies between 688 mm and 1016 mm.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 852 mm

Standard Deviation, σ = 82 mm

We are given that the distribution of monsoon rainfall is a bell shaped distribution that is a normal distribution.

68 ‑ 95 ‑ 99.7 rule

Also known as Empirical rule.
It states that all data lies within the three standard deviation of the mean for a normal distribution.
About 68% of data lies within one standard deviation of mean
About 95% of data lies within two standard deviation of mean.
About 99.7% of data lies within three standard deviation of mean.

We have to find the monsoon rains fall in the middle 95 % of all years.

By the rule 95% of data lies within two standard deviation of mean.Thus,

$\mu + 2\sigma = 852 + 2(82) = 1016\\\mu - 2\sigma = 852 - 2(82) = 688$

Thus, 95% of monsoon rainfall lies between 688 mm and 1016 mm.

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