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Ghella [55]
3 years ago
8

Write the equation of the line that passes through (3, 4) and (2, −1) in slope-intercept form

Mathematics
2 answers:
myrzilka [38]3 years ago
7 0

Answer:

y = 5x - 11

Step-by-step explanation:

1) Find slope

2) Substitute 1 point back into formula to find y-intercept, aka c

tresset_1 [31]3 years ago
7 0

ANSWER

y = 5x  - 11

EXPLANATION

The given line passes through:

(3,4) and (2,-1).

The slope is given by:

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

m =  \frac{ - 5}{ - 1}  =  5

The equation can be found using

y-y_1=m(x-x_1)

We plug in the point and slope to get:

y - 4 = 5(x - 3)

y - 4 = 5x  - 15

y = 5x  - 15 + 4

y = 5x  - 11

This is the slope-intercept form

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3 years ago
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Answer:

Step-by-step explanation:

Hello!

For me, the first step to any statistics exercise is to determine what is the variable of interest and it's distribution.

In this example the variable is:

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The option you have is to apply the Central Limit Theorem.

The central limit theorem states that if you have a population with probability function f(X;μ,δ²) from which a random sample of size n is selected. Then the distribution of the sample mean tends to the normal distribution with mean μ and variance δ²/n when the sample size tends to infinity.

As a rule, a sample of size greater than or equal to 30 is considered sufficient to apply the theorem and use the approximation.

The sample size in this exercise is n=50 so we can apply the theorem and approximate the distribution of the sample mean to normal:

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Thanks to this approximation you can use an approximation of the standard normal to calculate the confidence interval:

98% CI

1 - α: 0.98

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Since Tom’s speed is more than the allowed speed so he is speeding.

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3 years ago
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