Find an equation of the line satisfying the given conditions


Asked by wiki @ in Mathematics viewed by 49 People


find an equation of the line satisfying the given conditions. write the equation using function notation. Through (-20,5) and (-36, 9) And can you show me the steps?

Answered by wiki @



Answer:

The equation of the line using function notation is

y=f(x)=-\frac{1}{4}x

Step-by-step explanation:

Given points are (-20,5) and (-36, 9)

Now to find the equation of the line passes through these points

Let (x_{1},y_{1}) and  (x_{2},y_{2}) be the two given points  (-20,5) and (-36, 9) respectively.

To find slope

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

m=\frac{9-5}{-36-(-20)}

m=\frac{4}{-36+20}

m=\frac{4}{-16}

m=-\frac{1}{4}

Therefore  m=-\frac{1}{4}

The equation of the line is of thr form y=mx+c

The point (-20,5) passes through the above line and  m=-\frac{1}{4}

5=-\frac{1}{4}(-20)+c

5=5+c

c=0

y=-\frac{1}{4}x+0

Therefore  y=-\frac{1}{4}x

Therefore the equation of the line using function notation is

y=f(x)=-\frac{1}{4}x


Do you know the better answer?

Similar Questions

Area of triangle formed by a line with coordinate axes

Asked by wiki @ in Mathematics viewed by 111 persons

The area of triangle formed by points of intersection of parabola y=a(x−1)(x−4) with the coordinate axes is 3. Find a if it is known that parabola opens downward.

The day language came into my life helen keller summary

Asked by wiki @ in English viewed by 248 persons

15 points I REALLY NEED HELP WITH THIS ASAP!!!!! Use the information from the passages to write three to five sentences summarizing Helen Keller’s life. Include cited information in your …

A time of rebirth of interest in art and learning

Asked by wiki @ in Social Studies viewed by 89 persons

A time of Rebirth of interest in art and learning​

How to find the point estimate of a population mean

Asked by wiki @ in Mathematics viewed by 139 persons

g Determine the point estimate of the population mean and margin of error for the confidence interval. Lower bound is 21​, upper bound is 25. The point estimate of the …

Which of the following best describes the invisible hand concept

Asked by wiki @ in Business viewed by 193 persons

Which of the following best describes the "invisible hand" concept? Group of answer choices Ample regulation of business by the government will maximize the public's best interests. The market system …

Coal is formed in which of the following depositional environments

Asked by wiki @ in Biology viewed by 136 persons

Coal is formed in which of the following depositional environments

How does acid rain affect plant growth and seed germination

Asked by wiki @ in Biology viewed by 94 persons

What influence does acid rain have on seed germination?

Where do the largest 5 de mayo celebrations take place

Asked by wiki @ in Social Studies viewed by 109 persons

Where do the largest cinco de mayo celebrations take place?

Por qué son las islas galápagos un verdadero tesoro ecológico

Asked by wiki @ in Spanish viewed by 170 persons

1. ¿Cuál es la capital de Ecuador? La capital de Ecuador es Quito. 2. ¿Cómo se llama la moneda de Ecuador? 3. ¿Qué idiomas hablan los ecuatorianos? 4. ¿Por qué …

Which structures are involved in cell movement

Asked by wiki @ in Biology viewed by 153 persons

Which structures are involved in cell movement? a. cytoplasm and ribosomes, b. nucleolus and nucleus, c. microtubules and microfilaments or d. chromosomes.

Breathing techniques should be used

Asked by wiki @ in Health viewed by 142 persons

Breathing techniques should be used A. everyday to feel more energized and relaxed. B. after you eat a heavy meal. C. only in times of extreme stress. D. only under …

Which statement describes the expansion of islam under the umayyads

Asked by wiki @ in History viewed by 133 persons

Which statement describes the expansion of Islam under the umayyads a)Islam expanded north and east into Eastern Europe and Central Asia. B) Islam expanded south through Egypt into sub-Saharan Africa …

Sesshu painted in a style that was called haboku meaning

Asked by wiki @ in Arts viewed by 237 persons

Sesshu toyo painted in a style that was called haboku, meaning

What is the reciprocal of 2 9 in a fraction

Asked by wiki @ in Mathematics viewed by 47 persons

What is the reciprocal of 8/9

What is the molar mass of aucl3

Asked by wiki @ in Chemistry viewed by 127 persons

What is the molar mass of AuCl3

Our deepest fear is not that we are inadequate meaning

Asked by wiki @ in Geography viewed by 75 persons

VvOur Deepest Fear By Marianne Williamson Our deepest fear is not that we are inadequate. Our deepest fear is that we are powerful beyond measure. It is our light, not …

How does long term memory differ from short term memory

Asked by wiki @ in Health viewed by 157 persons

How does long-term memory differ from short-term memory? Long-term memory has a smaller capacity. Long-term memory has a longer duration. Short-term memory has a larger capacity. Short-term memory does not …

A description of a society without any rules or laws

Asked by wiki @ in History viewed by 112 persons

What would a society without laws be like ?

How many times bigger is the earth than the moon

Asked by wiki @ in Physics viewed by 158 persons

How many times bigger is the earth than the moon?

Is a cone a polyhedron

Asked by wiki @ in Mathematics viewed by 26 persons

A cone is a polyhedron with a circular base. true or false?

Which was ventor's contribution to science

Asked by wiki @ in Biology viewed by 101 persons

Which was Ventor’s contribution to science? discovered the existence of single-celled A)organisms B)invented the light microscope C)discovered the structure of DNA D)invented a synthetic cell

What was the significance of the battle of antietam creek

Asked by wiki @ in History viewed by 198 persons

What was the significance of the battle of antietam creek

What is the average airspeed velocity of an unladen swallow

Asked by wiki @ in Biology viewed by 140 persons

What is the airspeed velocity of an unladen swallow

The preamble to the constitution does not specify providing for

Asked by wiki @ in Social Studies viewed by 236 persons

The Preamble to the Constitution does not specify providing for a. domestic tranquility. b. common defense. c. justice. d. economic equity.

Edward titchener is to structuralism as william james is to

Asked by wiki @ in Social Studies viewed by 25 persons

Structuralism is a school of psychology introduced by Group of answer choices Edward Titchener. William James. Charles Darwin. Sigmund Freud.

Sophisticated modeling software is helping international researchers

Asked by wiki @ in Computers and Technology viewed by 182 persons

Sophisticated modeling software is helping international researchers (1 point) create more intricate screenplays and movie scripts. increase the pace of research in finding and producing vaccines. market new types of …

A coil of wire with a current is called a

Asked by wiki @ in Physics viewed by 119 persons

A coil of wire with a current is called a(n)

Difference between the functions of the left and right ventricles

Asked by wiki @ in Biology viewed by 148 persons

Explain the difference in function between the left ventricle and the right ventricle of the heart. How is each one adapted for its particular function?

Taking an iron supplement can prevent blindness true or false

Asked by wiki @ in Health viewed by 121 persons

Taking an iron supplement during childhood can prevent blindness. True or False

What does the conch symbolize in lord of the flies

Asked by wiki @ in English viewed by 119 persons

What does the conch symbolize in lord of the flies?

Most viewed questions in Mathematics


Gina wilson all things algebra 2015 answer key unit 11

Asked by wiki @ in Mathematics viewed by 4846 persons


Unit 11 volume and surface area homework 3 answer key

Asked by wiki @ in Mathematics viewed by 4275 persons


3.2 puzzle time what is roz savage famous for answers

Asked by wiki @ in Mathematics viewed by 3324 persons



An artist sells a painting for 20.50 but uses 5.75

Asked by wiki @ in Mathematics viewed by 2946 persons


Gina wilson all things algebra 2016 answer key unit 11

Asked by wiki @ in Mathematics viewed by 2705 persons


Geometry unit 11 volume and surface area quiz 11 1

Asked by wiki @ in Mathematics viewed by 2679 persons



Unit 4 congruent triangles homework 1 classifying triangles gina wilson

Asked by wiki @ in Mathematics viewed by 2475 persons


Cryptic quiz what is the opposite of a professional eater

Asked by wiki @ in Mathematics viewed by 2308 persons


Algebra 1 8.2 worksheet characteristics of quadratic functions answer key

Asked by wiki @ in Mathematics viewed by 2058 persons



The price of salmon at a fish market is 5.40

Asked by wiki @ in Mathematics viewed by 1916 persons


Unit 1 test study guide geometry basics answer key

Asked by wiki @ in Mathematics viewed by 1898 persons


What did captain hook say in the bakery worksheet answers

Asked by wiki @ in Mathematics viewed by 1791 persons



Gina wilson all things algebra 2015 unit 11 answer key

Asked by wiki @ in Mathematics viewed by 1705 persons


Trigonometry maze answer key

Asked by wiki @ in Mathematics viewed by 1669 persons


Why did the picture go to jail puzzle time answers

Asked by wiki @ in Mathematics viewed by 1657 persons