Find an equation of a line with slop -4 snd containing the point (-2,-1)

y = -4x - 9

Step-by-step explanation:

The formula to calculate the slope of a line is

m = (y - y1) / (x - x1)

And the gradient form of the equation of a line is given as

y = mx + c

y and x represent coordinates. Points are represented as (x, y)

In this question, we are given the value of m to be

m = -4

y1 = -1

x1 = -2

Now we have

m = [y - (-1)] / [x - (-2)]

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

We then cross multiply to get

y + 1 = -4(x + 2)

y + 1 = -4x + (-8)

y + 1 = -4x - 8

y = -4x - 8 - 1

y = -4x - 9

Therefore the equation of the equation of a line with slope -4 and containing the point (-2,-1) is

y = -4x - 9

correct answer is option b.

step-by-step explanation:

the true statement about geometric figure is option b that is one line can be drawn through all three points.

if three points are on the same plane, they can be connected by a line.

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;