1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
balu736 [363]
3 years ago
8

Choose the equation that represents a line that passes through points (-1, 2) and (3, 1).

Mathematics
1 answer:
oksian1 [2.3K]3 years ago
8 0

Answer:

<h2>B. x + 4y = 7</h2>

Step-by-step explanation:

\text{The point-slope form of an equation of a line:}\\\\y-y_1=m(x-x_1)\\\\m-slope\\\\\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\==============================

\text{We have the points (-1, 2) and (3, 1). Substitute:}\\\\m=\dfrac{1-2}{3-(-1)}=\dfrac{-1}{4}=-\dfrac{1}{4}\\\\\text{Put the value of a slope and the coordinates of the point (3, 1) }\\\text{to the equation of a line:}\\\\y-1=-\dfrac{1}{4}(x-3)\\\\\text{Convert to the standard form}\ Ax+By=C:\\\\y-1=-\dfrac{1}{4}(x-3)\qquad\text{multiply both sides by 4}\\\\4y-4=-(x-3)\\\\4y-4=-x-(-3)\qquad\text{add x to both sides}\\\\x+4y-4=3\qquad\text{add 4 to both sides}\\\\x+4y=7

You might be interested in
Please help me with this I will give u 100 points
ValentinkaMS [17]

Answer:

see below

Step-by-step explanation:

Video Game

20% off means you pay 80%

80 dollars * 80% =

80 * .80 = 64

Movie ticket

14 original price

Sale price = 11.40

14* p% = 11.40

Divide each side by 14

p% = 11.40/14

p% =81.4285714

You paid 81 3/7%

The discount is 100 -81 3/7%

18 4/7 % discount

Laptop

1000 original price

Sale price = 750

1000 * p% = 750

p% = 750/1000

p% =75%

You paid 75%

The discount is 100 -75%

25 % discount

5 0
3 years ago
Read 2 more answers
Read the following excerpts from the New York Times (December 17, 1996) article Chance of Heart Attack Increases for Those Who S
nataly862011 [7]

Answer:

1. B

2. A

3. A

4. A

Step-by-step explanation:

Hello!

The study claimed that subjects who suffer depression are more likely to have a heart attack than those who are not depressed.

1551 persons were interviewed as part of the experiment and classified according to their answers in two groups "suffered depression" and "didn't suffer depression"

Afterward, the researchers looked up the medical history of all 1551 subjects and recorded how many of them had heard issues.

1.

An observational study is one where the researcher only determines the variables he wants to study without controlling or influencing any factor of the population of interest. Because there is no interference from the researchers, there is a high risk that confounding factors may affect the conclusions of it. These studies are usually precursors to experimental tests, it allows the researcher to have an idea of the association between the two variables but you cannot establish causal relationships from them.

This is an example of an observational study, the researcher merely recorded the variables of interest without interfering with any aspects that may influence them. (For example diet or exercise habits of the subjects)

2. and 3.

The objective of the study is to determine if "depression" causes "disposition to heart attacks"

The explanatory variable is "depression status of the subject" since it is what is suspected to influence over the heart condition of said subject and "heart attack status" is the response variable.

4.

Of the 1551 subjects originally studied, 444 were classified as depressed, of these 27 had heard attacks. You can calculate the "proportion of subjects that suffered depression and had heart attacks" as:

p': 27/444= 0.06 ⇒ 6%

Since this value was obtained from the sample, it is an estimation of the population parameter, also called statistic.

I hope it helps!

4 0
3 years ago
Find the rate of change of the function h(x) = 2 x on the interval 2 ≤ x ≤ 4. The rate of change is a0.'
IceJOKER [234]

Answer:

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Please help with this. it wants to find M M
Lorico [155]

Answer:

im so rorry i dont really understand it tho i could guess but i dont want you to get it wrong

Step-by-step explanation:

3 0
3 years ago
Bananas are curved because they grow towards the sun ☀️
VLD [36.1K]
Hope you have a good day
5 0
3 years ago
Read 2 more answers
Other questions:
  • Jo is on the phone with a gardener who asks about the square feet of Jo's backyard. Jo counts 20 steps long and 40 steps wide (w
    9·1 answer
  • Solve for k f= g-h+k:2
    11·1 answer
  • 3/x+1 -1/2 = 1/3x+3 please help solve
    7·1 answer
  • when a business company increased its profit from 20%to25% the amount of profit increased to rs2604000.if the company decided to
    7·1 answer
  • What’s the exponential form of 64
    9·1 answer
  • 3x - y = 2
    13·2 answers
  • A group of students at a school takes a history test. The distribution is normal with a mean of 25, and a standard deviation of
    6·1 answer
  • The product of ten and a number is greater than the difference of four times the number and two
    6·1 answer
  • Is it more, or the same as one whole? 7-tenths of a pie
    13·2 answers
  • Please help me work this out, it's not multiple choice. I'll mark you brainliest.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!