Find the slope of the line joining the points (3,4) and (6,-1)

Step-by-step explanation:

(3,4) ; (6,-1)

slope = y₂ - y₁ / x₂-x₁

         = -1 - 4 / 6-3

         = -5/3

The slope of the line joining the points (3,4) and (6,-1) is

Solution:

Given two points are (3, 4) and (6, -1)

We need to find the slope of the line

The slope of line when two points are given:

where and are the x and y points of given two lines

Here in this problem,

Substituting the values we get,

Hence slope of given line is

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step-by-step explanation:

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;