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
olga nikolaevna [1]
2 years ago
14

Which of the following is an equation of the line through (2,3) and (-1,-12)

Mathematics
1 answer:
ahrayia [7]2 years ago
6 0

Answer:

y = 5x - 7

Step-by-step explanation:

Using the equation of a line with two points

y_2 - y_1 / x_2 - x_1 = y - y_1 / x - x_1

Giving two points

( -4 , 10)(16 , -2)

x_1 = -4

y_1 = 10

x_2 = 16

y_2 = -2

Using the above formula

y_2 - y_1 / x_2 - x_1 = y - y_1 / x - x_1

-12 - 3 / -1 - 2 = y - 3 / x - 2

-15/-3 = y - 3 /x - 2

Cross multiply

-15(x - 2) = -3(y - 3)

-15x + 30 = -3y + 9

-15x + 30 + 3y - 9 = 0

-15x +30 - 9 + 3y = 0

-15x + 21 + 3y = 0

3y = 15x - 21 ( following y = mx + C

Dividing through by 3 to find y

3y/3 = 15x -21 / 3

y = 15x - 21 / 3

We can still separate

y = 15x / 3 - 21/3

y = 5x - 7

Therefore, the equation of the line is

y = 5x - 7

You might be interested in
Marco gana 1200 mensualmente . La mitad de su dinero es entregado a su mama de lo que le queda gasta en la tercera parte en ropa
statuscvo [17]

Answer:

A Marco le sobra 400.

Step-by-step explanation:

Marco gana 1200 mensualmente. La mitad de su dinero es entregado a su mamá.

La mitad de un número se calcula dividiendo el número por 2. Por lo que la mitad de lo ganado por Marco se calcula:

1200 ÷2= 600

Por lo que Marco entrega a su mamá 600 mensualmente, y quedan 600, obtenido de la resta entre lo ganado mensualmente y lo entregado a su madre.

De lo que le queda gasta en la tercera parte en ropa. La tercera parte de un número se calcula dividiendo el número por 3. Entonces:

600 ÷3= 200

Entonces Marco gasta 200 en ropa. Por lo que resta es 400, obtenido por la diferencia entre los 600 que poseía luego de entregar dinero a su madre y lo gastado en ropa.

Entonces, <u><em>a Marco le sobra 400.</em></u>

3 0
2 years ago
What is 76 rounded to the nearest hundred
Citrus2011 [14]
100. When rounding to the hundreds place, you must consider the value of the digit in the tens place. If the digit in the tens place is 5 or greater, the digit in the hundreds place increases by 1. If the digit in the tens place is 4 or less the digit in the hundreds place remains the same. In this case, the number in the hundreds place was originally zero.
3 0
3 years ago
Pls help me guys! You guys pls help me guys!
NNADVOKAT [17]
You just add the values for volunteers that worked 16-20 hours and 21-25 hours which would be 50 + 10 = 60. So the total number of volunteers that workers more than 15 hours is 60.
5 0
3 years ago
Read 2 more answers
Function 1 is defined by the equation y =
emmainna [20.7K]

Answer:

play a game it will help

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
If r and s represent two numbers, write the following:
Tanzania [10]

Answer:

hope it helps. good day .in case of any question please ask.

4 0
1 year ago
Other questions:
  • 9t-6=3(3t-2) solve the equation
    14·1 answer
  • How does place value help me subtract decimals
    5·1 answer
  • PLEASE HELP. What are some facts about the number 99 that would make you like it as your favorite number? Thank you in advance.
    10·1 answer
  • Which function corresponds to the table of inputs and outputs?
    6·1 answer
  • What is 3.75 as a fraction
    13·2 answers
  • Brainers, please help me
    11·1 answer
  • What is the lowest and highest grade average in the class respectively?
    14·1 answer
  • I need help asap ple​
    9·1 answer
  • How to write proofs in geometry
    15·1 answer
  • Please help <br>__________________​
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!