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3 years ago

Find the slope of the line that passes through the points (1, 7) and (3, 3).

Mathematics

2 answers:

Alenkasestr [34]3 years ago

7 0

Answer:

Slope of the line that passes through the points (1, 7) and (3, 3) = -2

Step-by-step explanation:

Given in the question two co-ordinates,

(1, 7)

(3, 3)

here x1 = 1

x2 = 3

y1 = 7

y2 = 3

Formula to use

m = $\frac{y2 - y1}{x2 - x1}$

= $\frac{3-7}{3-1}$

= -4/2

= -2

Eddi Din [679]3 years ago

6 0

Answer:

The slope of given line is -2

Step-by-step explanation:

<u>Points to remember</u>

Let (x₁, y₁) and (x₂, y₂) be the two points in a line, then the slope of the line is given by,

slope, m = (y₂ - y₁)/(x₂ - x₁)

<u>To find the slope of given line</u>

Here (x₁, y₁) = (1, 7) and (x₂, y₂) = (3,3)

Slope m = (y₂ - y₁)/(x₂ - x₁) = (3 - 7)/(3 - 1)

= -4/2 = -2

Therefore the slope of given line is -2

You might be interested in

What is an equation of the line that passes through the points (4, 4) and (8, 1)?

geniusboy [140]

Answer: y = -3/4x + 7

Step-by-step explanation:

first find slope:

y2-y1 / x2 - x1

1-4 / 8-4

-3/4

now just plug the slope (m) into the equation of a line using one of the points to find the y intercept

ill use (8,1)

1 = (-3/4)(8) + b

now solve :)

1 = -6 + b

7 = b

so now plug in the slope and the y intercept into the slope intercept form to find the equation of the line

y = -3/4x + 7

3 0

3 years ago

Anyone can y’all help me. What’s the mistake in this? And what’s N actually equal to?

PSYCHO15rus [73]

Answer:

n = -1

Step-by-step explanation:

you've accidently substracted 6n from 12n when you were supposed to be adding them. (-6n becomes +6n when brought to the otherside of the equal sign)

4 0

3 years ago

Health insurance benefits vary by the size of the company (the Henry J. Kaiser Family Foundation website, June 23, 2016). The sa

xxMikexx [17]

Answer:

$\chi^2 = \frac{(32-42)^2}{42}+\frac{(18-8)^2}{8}+\frac{(68-63)^2}{63}+\frac{(7-12)^2}{12}+\frac{(89-84)^2}{84}+\frac{(11-16)^2}{16}=19.221$

Now we can calculate the degrees of freedom for the statistic given by:

$df=(rows-1)(cols-1)=(3-1)(2-1)=2$

And we can calculate the p value given by:

$p_v = P(\chi^2_{2} >19.221)=0.000067$

And we can find the p value using the following excel code:

"=1-CHISQ.DIST(19.221,2,TRUE)"

Since the p values is higher than a significance level for example $\alpha=0.05$ , we can reject the null hypothesis at 5% of significance, and we can conclude that the two variables are dependent at 5% of significance.

Step-by-step explanation:

Previous concepts

A chi-square goodness of fit test "determines if a sample data matches a population".

A chi-square test for independence "compares two variables in a contingency table to see if they are related. In a more general sense, it tests to see whether distributions of categorical variables differ from each another".

Solution to the problem

Assume the following dataset:

Size Company/ Heal. Ins. Yes No Total

Small 32 18 50

Medium 68 7 75

Large 89 11 100

_____________________________________

Total 189 36 225

We need to conduct a chi square test in order to check the following hypothesis:

H0: independence between heath insurance coverage and size of the company

H1: NO independence between heath insurance coverage and size of the company

The statistic to check the hypothesis is given by:

$\sum_{i=1}^n \frac{(O_i -E_i)^2}{E_i}$

The table given represent the observed values, we just need to calculate the expected values with the following formula $E_i = \frac{total col * total row}{grand total}$