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]
3 years ago
14

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

Mathematics
1 answer:
ahrayia [7]3 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
-8(8v + 1) - 2 = -394
Bess [88]

Answer:

v = 6

Step-by-step explanation:

Solve for v:

-8 (8 v + 1) - 2 = -394

-8 (8 v + 1) = -64 v - 8:

-64 v - 8 - 2 = -394

Grouping like terms, -64 v - 8 - 2 = -64 v + (-8 - 2):

-64 v + (-8 - 2) = -394

-8 - 2 = -10:

-10 - 64 v = -394

Add 10 to both sides:

(10 - 10) - 64 v = 10 - 394

10 - 10 = 0:

-64 v = 10 - 394

10 - 394 = -384:

-64 v = -384

Divide both sides of -64 v = -384 by -64:

(-64 v)/(-64) = (-384)/(-64)

(-64)/(-64) = 1:

v = (-384)/(-64)

The gcd of -384 and -64 is -64, so (-384)/(-64) = (-64×6)/(-64×1) = (-64)/(-64)×6 = 6:

Answer:  v = 6

3 0
3 years ago
Read 2 more answers
Decompose the number 419 in 10 models
Papessa [141]
100
100
100
100
3
2
5
3
3
3

I think this is what you're asking.. If not.. I'm sorry.

5 0
3 years ago
A taxi charges a pick-up fee p!us a charge per mile. Maria paid $15.00 for a 7 mile rode. To my paid $19.50 for a 10 mile ride.
lukranit [14]

Answer:

The y-intercept in coordinate form is (0, 4.5) and represents the taxi pick-up fee.  The equation is y=1.5x + 4.5.

Step-by-step explanation:

This question is asking for the slope and y-intercept of a linear equation.  A linear equation makes a straight line based on a constant rate of change.  For this problem, the cost per mile is the slope, while the independent variable 'x' is the number of miles and the dependent variable 'y' is the total cost.  In order to first find slope, you need to use the two points given (7, 15) and (10, 19.5) to set up a change in y / change in x, or (19.5-15)/(10-7) or 4.5/3 which is 1.5.  So the slope, or cost per mile is $1.50.  To find the y-intercept (b), or the cost of the pick-up fee, simply fill in your equation y=1.5x + b with your other variables and solve for 'b'.  So, 15 = (1.5 x7) + b.  or 15 = 10.5 +b, subtract 10.5 from both sides of the equation to get b=4.5.  

5 0
4 years ago
A pottery shop uses 493 pounds of clay each week. About
Flura [38]

a pottery shop uses 493 pounds of clay each week. about

how many pounds of clay will the shop use in 36 weeks?

493*36= 17,748 pounds of clay

6 0
3 years ago
Answer the question<br> 10 points
lubasha [3.4K]
The slope is 9 and the y intercept is 4.
7 0
3 years ago
Other questions:
  • Which of the following is a prime number 6765 63 + 60
    11·1 answer
  • A 3-mi cab ride costs $7.30. A 8-mi cab ride costs $15.30. Find a linear equation that models a relationship between cost c and
    10·1 answer
  • The world record in the long jump is 29 feet and 4 1/2 inches. how many inches short of 10 yards is the record long jump?
    15·1 answer
  • Fill in the blank. A​ _____________ is used to test the hypothesis that an observed frequency distribution fits​ (or conforms​ t
    14·1 answer
  • 1. Solve the equation for x.<br> 6 = -8<br> X =<br> (Use the value of x in the sum )
    10·2 answers
  • An architectural drawing lists the scale as 1/4" = 1'. If a bedroom measures 312" by 514" on the drawing, how large is the bedro
    12·1 answer
  • What is the volume of this rectangular prism?
    10·1 answer
  • Blake has 864 square inches of material with which to create a hollow three-dimensional container. He decides to make either a c
    7·1 answer
  • What is the end behavior of h(x)=-5x^4+13x/x^3
    7·1 answer
  • Which statement is logically equivalent to the following conditional statement?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!