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agasfer [191]
3 years ago
6

Find the equation of the line that passes through (-2, -5) and (1, 7).

Mathematics
1 answer:
Delvig [45]3 years ago
7 0

Answer:

\displaystyle 4x - y = -3, -4x + y = 3\:OR\:y = 4x - 3

Step-by-step explanation:

First, find the <em>rate of change</em> [<em>slope</em>]:

\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{5 + 7}{2 + 1} = \frac{12}{3} = 4

Now plug these coordinates into the Slope-Intercept Formula instead of the <em>Point-Slope Formula</em>, since it is much swifter that way. It does not matter which ordered pair you choose:

7 = 4 + b

\displaystyle 3 = b \\ \\ y = 4x + 3

If you want it in <em>Standard Form</em>:

y = 4x + 3

- 4x - 4x

_________

\displaystyle -4x + y = 3\:OR\:4x - y = -3

_______________________________________________

−5 = 4[−2] + b

−8

\displaystyle 3 = b \\ \\ y = 4x + 3

If you want it in <em>Standard Form</em>:

y = 4x + 3

- 4x - 4x

_________

\displaystyle -4x + y = 3\:OR\:4x - y = -3

** You see? I told you that it did not matter which ordered pair you choose [as long your <em>rate of change</em> is correct] because you will ALWAYS get the exact same result.

I am joyous to assist you anytime.

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Sara sold hotdogs and drinks at the soccer game.
Anarel [89]

Answer:

$11

Step-by-step explanation:

Set up the system of equations

18x + 9y = 45

20x + 12y = 52

Let's try to get y on one side for the first equation.

9y=45-18x

y=5-2x

Now substitute it into the second equation.

20x + 12(5-2x) = 52

20x + 60 - 24x = 52

-4x = -8

x = 2

Now solve for y using the first equation.

18(2) + 9y = 45

36 + 9y = 45

9y = 9

y = 1

Now that we know x and y we can solve for the price of 4 hot dogs and 3 drinks.

4(2) + 3(1) = z

8 + 3 = z

11 = z

That means that the price is 11 dollars.

7 0
3 years ago
An aquarium at a pet store has 18 Black Neon Tetra fish in it . A customer buys 12 Black neon Tetra Fish at the same time the st
dangina [55]

18-12+7

 6 + 7

13

Write an equation.

Subtract first- the customer buys 12 black neon tetra fish which means subtraction

addition- the store clerk puts in 7 more black neon tetra fish which means your gonna add 7




8 0
3 years ago
Read 2 more answers
Plsssssssssss Help!!!!!
klio [65]

Answer: A : no

              B : no

              C : yes

              D : yes

              E : yes

              F : yes

PLEASE GIVE BRAINLIEST

6 0
3 years ago
Simplify the following expression.<br><br> 99 - 3[15 - (2 + 1)]
Vikki [24]

Answer:

63

Step-by-step explanation:

2+1= 3

15-3= 12

12 x 3 = 36

99 - 36

= 63

6 0
3 years ago
Read 2 more answers
Select ALL the correct answers.
jolli1 [7]

Answer:

(4x+5)(-3x-1) = -12x²-19x-5

Option A:

   (-16x² + 10x - 3) + (4x² - 29x - 2) = -12x²-19x-5

   Option A is correct.

Option B:

   3(x - 5) - 2(6x² + 9x + 5) = -12x²-15x-25

   Option B is wrong.

Option C:

   2(x - 1) - 3(4x² + 7x + 1) = -12x²-19x-5

   Option C is correct.

Option D:

   (2x² - 11x - 9) - (14x² + 8x - 4) = -12x²-19x-5

   Option D is correct.

4 0
2 years ago
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