Find the equation of the linear function which passes through the points (-1, 3) and (4, -2). give your answer in y = mx + b form.

Hello : let  A(-1,3)    B(4,-2)
the slope is :   (YB - YA)/(XB -XA)
(-2-3)/(4+1)  = -1
an equation is : y=ax+b     a is a slope

y = -x +b

the line through point  B(4,-2) :  -2 = -1(4)+b
b = 2 
the equation is : y =-x+2

x=6 and x=3

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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;