Find the equation (in terms of x) of the line through the points ( − 1 , − 1 ) and( 4 , − 4 )

Answers

Answer 1

Answer:

[tex]y = -\frac{3}{5}x -\frac{8}{5}[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (-1,-1)[/tex]

[tex](x_2,y_2) = (4,-4)[/tex]

Required

Determine the line equation

First, calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{-4 - (-1)}{4 - (-1)}[/tex]

[tex]m = \frac{-4 +1}{4 +1}[/tex]

[tex]m = \frac{-3}{5}[/tex]

[tex]m = -\frac{3}{5}[/tex]

The equation is then calculated using:

[tex]y - y_1 = m(x - x_1)[/tex]

This gives:

[tex]y - (-1) = -\frac{3}{5}(x - (-1))[/tex]

[tex]y + 1 = -\frac{3}{5}(x +1))[/tex]

Open bracket

[tex]y + 1 = -\frac{3}{5}x -\frac{3}{5}[/tex]

Make y the subject

[tex]y = -\frac{3}{5}x -\frac{3}{5}-1[/tex]

[tex]y = -\frac{3}{5}x +\frac{-3-5}{5}[/tex]

[tex]y = -\frac{3}{5}x +\frac{-8}{5}[/tex]

[tex]y = -\frac{3}{5}x -\frac{8}{5}[/tex]


Related Questions

If x = 0.75 and y = 0.6, find y when x = 5

Answers

Answer:

y = 4

Step-by-step explanation:

create a proportion, then cross-multiply

0.6 / 0.75 = y / 5

5(.6) = .75y

3 = .75y

y = 3/0.75

y = 4

move the dot -(-E) on the number line. E=3.5

Answers

the correct answer is n the un

Which ratio is equivalent to the ratio 10:9? A 40 to 27 B 30:36 C 36 to 30 40:36​

Answers

The answer that you are looking for is A. 40 to 27

(2x −6) +4 (x −3)
find the sum

Answers

Answer:

6 x (x - 3)

Step-by-step explanation:

Answer:

6x - 18

Step-by-step explanation:

Distribute the 4

2x - 6 + 4x -12

Combine like terms

2x + 4x = 6x

-6 - 12 = -18

4. Find the value of x. 140° 150° 130° to Da) 110 b) 90 O c) 130 O d) 120​

Answers

Answer:

D

Step-by-step explanation:

The sum of angles of an hexagon is [tex]4\cdot 180[/tex]°.

What is 10/3 divided by 2/6

Answers

Answer:

its 10

Step-by-step explanation:

10/3 divided by 2/6 is 10 because you would reciprical the 2/6

then it would be 10/3 times 6/2

10 times 6 is 60

3 times 2 is 6

60/6 is 10

BOOM MATH

Which graph represents the solution set of this inequality?
119 +5 < 49
Choose 1 answer:
Please hurry

Answers

Answer:

to graph an inequality you need a variable. please rewrite your question.

Find the Area of this Figure

Answers

Answer:

Area = 60 ft ^2

Step-by-step explanation:

first you would have to split the spape given by making a triangle at the top and a rectangle under it, then you find the area of the triangle and rectangle and add those together to find the area.

Triangle:

6 * 4 = 24 / 2 = 12

Rectangle:

12 * 4 = 48

Area:

48 + 12 = 60

round 576.071 to the nearest tenths​

Answers

the answer is 576.1 !

For which of the following equations is (-2,-3) not a solution?
A) y=x-1
B) -3x=4y-6
C) 2y-3x=0
D) 5x+2y=-16

Answers

Answer:

B) -3x=4y-6

Step-by-step explanation:

(-2,-3); x= -2 and y= -3

B) -3x=4y-6

-3x= 4(-3) - 6= -12-6= -18

x= -18/-3=6... wrong

Shaun's earnings at $12 per hour were less than $150. Write an inequality

Answers

Answer:

I think that the answer is 12x<150

Answer:

12x<150

Step-by-step explanation:

Mrs. Baker found 25 shells on the beach. She brought 2/5 of the shells to her
classroom. The rest of the shells she set on a bookshelf at her house. How many
shells did she bring to schoof? How many shells are at her house? (Show your work
on another sheet of paper if necessary.)

Answers

Answer:

A. 10 B. 15

Step-by-step explanation:

A. 25/1 * 2/5= 50/5

reduced it is 10

B. 25-10=15

Answer:

she brought 10 shells to her classroom and 15 shells to her house. Hope that helps!

Is (3,5) a solution to the system - x +y = 1 and 2x + 4y = 2?

Answers

Answer:

No, it is not.

Step-by-step explanation:

Answer: The answer is no.

Step-by-step explanation: Plug in the values of -x + y = 1. -3 + 5 [tex]\neq[/tex] 1, and even if the other equation works out, the system of equations would not be valid.

What is the value of the expression 7x (5-3) + (100 ÷ 5)

Answers

Answer:

Step-by-step explanation:

Pulling a red card from a deck of cards, replacing it, and pulling another red card.

Answers

Answer:

Uh queen or hearts or diamonds?

Step-by-step explanation:

i’m confused but mark me brainlest thanks

The area of a sqaure is given by x², where x is the length of one side. Marys original garden was in the shape of a sqaure. She has decided to double the area of her garden. Enter an expression that represents the area of Marys new garden. An expression that represents the area is ?​

Answers

Answer:

2x^2

Step-by-step explanation:

X^2*2= 2x^2

Big brain strat :)

i agree with the person who was first

Answers

Answer:

me tooooo!

Step-by-step explanation:

Find the measure of the missing angle.

Answers

Answer:

80

Step-by-step explanation:

because T to R is 80 too

Answer: 105

Explanation:
80 + 25 = 105
180 - 105 = 75

180 - 75= 105

Please solve and explain how you got your answer! I will give BRAINIEST to the right answer and explained best.
(Picture)

Answers

Answer:

6.28

Step-by-step explanation:

C=2πr=2·π·1≈6.28319

Hope this helps ;)

What is -5-3(-5x-3)-3x

Answers

Answer:

12x+4

Step-by-step explanation:

when simplified you would get 12x + 4

−5−3(−5x−3)−3x

- 5 - ( - 15x - 9 ) - 3x

-5 + 15x + 9 - 3x

(-5 + 9) + (15x - 3x)

4 + 12x

Bob ate 24 pizzas in 1 1/3 hours. How many pizzas per hour did he eat?

Answers

Bob now has diabetes
You would unsimplify 1 1/3, and it would be 4/3 which means there are four thirds of an hour, so you would divide 24 by 4 and than multiply the answer of that by 3 to find the pizzas he ate in one hour which is 18

Please help me please guys please guy

Answers

Answer:

[tex]y = 2 {(x - 3)}^{2} + 1[/tex]

Answer:

D) 2(x - 3)² + 1

Step-by-step explanation:

First off:

the equations are in y = a(x-h)²+k format.

So, that means that since the vtx is (3, 1), the answers could only be c or d

The difference between the two is one parabola is reflected (negative) and the other is facing up. Since (1, 9) is above the vtx, only D is the one that passes through (1, 9) because it is the only one facing upward to touch that point.

Reduce the ratio to its lowest form. 72:8​

Answers

Answer:

9:1

Step-by-step explanation:

Try to reduce the ratio further with the greatest common factor (GCF).  

The GCF of 72 and 8 is 8  

Divide both terms by the GCF, 8:

72 ÷ 8 = 9

8 ÷ 8 = 1  

The ratio 72 : 8 can be reduced to lowest terms by dividing both terms by the GCF = 8 :  

72 : 8 = 9 : 1  

Therefore:

72 : 8 = 9 : 1

In the slope 3/7, the 7 indicates to

A. Fall 7 units
B. Rise 7 units
C. run 7 units

Answers

Answer:

the answer is A

Step-by-step explanation:

The answer for this is A hope this helps :)


Farmland A farmer has a rectangular plot of land shaped like the figure in the
graph. There is another identical plot of land 100 yards east and 80 yards north
of the original plot. Graph both plots of land. Then find the combined area of the
two plots of land.

Answers

4,800 that’s the answer for your equation

Her father in law is two times as old her husband plus 4 more years. Their ages add up to 88. How old is Mrs. Williams’s husband?

Answers

Answer:

44

Step-by-step explanation:

Person A buys 12 cupcakes and 3 packs of chips for $16.50. Person B buys 6 cupcakes and 5 packs of chips for $13.50. Find the cost of each item.

Answers

Answer:

A cupcake costs $1 and a pack of chip costs $1.50


Put together, Edward and Jamie have 56 total rocks. Jamie's collection has 3 times as many rocks in it as Edward's collection. How many rocks are in Jamie's collection?
How many rocks does Edward have?
Select the person with more rocks: Jamie

Answers

Answer:

How many rocks does Edward have? 14

Select the person with more rocks: Jamie

(Edward: 14, Jamie: 42)

A Data Scientist of a Fortune 500 banking firm is looking at the relationships between various age groups of adults and types of investments portfolios. He is looking at a Chi Square distribution in his statistical software. What is the probability that x is larger than 12 when df = 19?

Answers

Answer:

The probability that x is larger than 12 when df = 19 = 0.100

Step-by-step explanation:

We are supposed to find the probability value at x>12 at degree of freedom equals to 19.

P(x>12)

By looking at the chi square table we can see, at df = 19 and x>12, P(x>12) is equal to 0.100

because at df = 19, the least x values is 27.2036 for which (Px=27.2036) or (Px>12) = 0.100


2) Pedro foi ao banco, retirou um extrato de sua conta e notou que estava com um saldo negativo de R$ 356,00. Sabendo que serão debitados em sua conta dois cheques, sendo um de R$ 53,50 e outro de R$85,00, quanto Pedro precisa depositar para deixar a conta com um saldo positivo de R$ 30,00? *​

Answers

Answer:

no entiendo ni madred

Step-by-step explanation:

Soy chino

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