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
kirill115 [55]
2 years ago
14

What is an equation of the line that passes through the points (4, -2) and (6, 1)?

Mathematics
1 answer:
tresset_1 [31]2 years ago
6 0

Answer:

y=\frac{3}{2}x - 8

Step-by-step explanation:

We are given that a line contains the points (4, -2) and (6, 1)

We want to write the equation of the line that contains these points

There are a couple of ways to write the equation of the line, but the most common way is slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y-intercept

First, we need to find the slope of the line

The slope (m) can be calculated using the formula \frac{y_2- y_1}{x_2-x_1}, where (x_1, y_1) and (x_2, y_2) are points

Let's first label the values of the points to avoid any confusion and mistakes before calculating:

x_1 =4\\y_1=-2\\x_2=6\\y_2=1

Now substitute into the formula

m=\frac{y_2- y_1}{x_2-x_1}

m=\frac{1--2}{6-4}

m=\frac{1+2}{6-4}

Simplify

m=\frac{3}{2}

The slope is 3/2

We can substitute this as m in our line.
Here is our line so far:

y = 3/2x + b

Now we need to solve for b

As the line passes through both (4, -2) and (6, 1), we can use either one of them to help solve for b.

Taking (4, -2) for example:

-2 = 3/2(4) + b

Multiply

-2 = 6 + b

Subtract 6 from both sides

-8 = b

Substitute into the equation

y = 3/2x - 8

Topic: finding the equation of the line

See more: brainly.com/question/27726732

You might be interested in
If you work for an hourly wage, your gross pay is a function of the number of hours that you work. Your hourly wage is $8 per ho
elixir [45]
I belive your answer is 320
Happy to assist you!
7 0
3 years ago
A 54-kg jogger is running at a rate of 3 m/s. What is the kinetic energy of the jogger? A. 18 J B. 81 J C. 162 J D. 243 J
Wewaii [24]

   

\displaystyle\bf\\\text{\bf kinetic energy}=\frac{mv^2}{2}=\frac{54\times3^2}{2}=27\times9=\boxed{\bf243~J} \\\\\text{\bf Correct answer: D.}



4 0
3 years ago
Read 2 more answers
QUESTION ON PIC BRAINLIEST THANK YOU!
andriy [413]

Answer:

1, 3, 9, 27

Step-by-step explanation:

1 times 27 = 27

3 times 9 = 27

9 times 3 = 27

27 times 1 = 27

hope this helps!!!

5 0
2 years ago
Read 2 more answers
Carlo is buying gas for his car. The gas costs $2.75 per gallon, and Carlo buys 9.8 gallons. How much did Carlo spend on gas?
Virty [35]

Answer:

26.95

Step-by-step explanation:

you have to multiplies 9.8 ×2.75

8 0
2 years ago
Shawn owns The Muffin mobile food truck. He goes home after he sells more than 200 muffins. He began the day with a big 36 muffi
lys-0071 [83]

Answer:

Step-by-step explanation:

he sold 36 so lets subtract  that from the 200 so he has to sell 164 more.

Now we have to figure out what times 24 is 164

It is about 7 because 24 x 7 = 28 and if he needs to sell mORE THAN it can't be 6 so it is 7 hours.

6 0
3 years ago
Other questions:
  • Sinx/1+cosx = cscx-cotx prove ls=rs
    15·1 answer
  • What is the probability of rolling a 1 with a number cube that has the numbers 1, 2, 3, 4, 5, and 6 and tossing heads with a coi
    13·2 answers
  • What is 3/4 x = 6 what is the value of x
    12·1 answer
  • Which two consecutive whole numbers is the value of √21 between?
    14·2 answers
  • How long will it take a $1000 investment to triple in value at a .12% rate of return, compounded quarterly?
    6·1 answer
  • Please help, I need the answer by tomorrow!
    7·1 answer
  • 144 in the ratio 3:4​
    5·1 answer
  • The table shows the amounts of onions and tomatoes in different-sized batches of a salsa recipe.
    5·1 answer
  • A human hair is approximately 40 microns (um) wide. If 1 um is equal to 10
    10·1 answer
  • The area of a triangle with base b and height h is bh. Larry painted a mural of different
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!