What is the equation of the line that passes through the point (-7, -7) and
has a slope of 1?

Answers

Answer 1

Answer:

[tex]y=x[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axisy and x stay as they are while m and b are replaced with numerical values

1) Determine the slope (m)

[tex]y=mx+b[/tex]

We're given that the slope of the line is 1. Plug this into the above equation

[tex]y=1x+b\\y=x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=x+b[/tex]

Plug in the given point (-7,-7)

[tex]-7=-7+b[/tex]

Add 7 to both sides to isolate b

[tex]-7+7=-7+b+7\\0=b[/tex]

Therefore, the y-intercept is 0. Plug this back into [tex]y=x+b[/tex]

[tex]y=x+0\\y=x[/tex]

I hope this helps!


Related Questions

A video uploaded had 54 upvotes if the ratio of up votes to down votes was 9:8 how many down votes did the video get

Answers

Answer:

48

Step-by-step explanation:

Given data

Ratio= 9:8

Combined ratio= 9+8= 17

Upvotes= 54

Let us apply the part to all approach to find the total votes

let the total votes be x

9/17= 54/x

cross multiply

9x= 54*17

9x= 918

divide both sides by 9

x= 918/9

x=102

Hence the number of downvotes is

=102-54

=48

Find x and y. (geometry)

Answers

Answer:

D

[tex]x = \frac{11}{ \tan(30 \degree) } \\ x = 11 \sqrt{3} [/tex]

[tex]y = \frac{11}{ \sin(30 \degree) } \\ y = 22[/tex]

Factorise x^2+4x+3
Write your steps as well please

Answers

Step-by-step explanation:

x²+4+3x²+x+3x+3x(x+1)+3(x+1)(x+1)(x+3)

hope it helps.

stay safe healthy and happy...

PLEASE HELP WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

The answer is the 3rd choice

The table shows the number of cars sold per day at a dealership during a promotional sale.

What is the equation of the least-squares regression line, where Y hat is the predicted number of cars sold and x is the day? Round each coefficient or constant to the nearest tenth.

Answers

Answer:

We need the table

Step-by-step explanation:

Answer:

.1 ; 1.8x

y=1.8x + .1

==============

The next question, where it asks for "The table shows the number of kilograms a newborn pig weighs during its first week.

" is y=.18x + .96

[this is the next question and so fourth]

and for the one after this question with three options, it is:

21.12; 0.14; 35

then for the one after that one, it is:

64.6; -20.2; 28

then for the one after that one, it is:

(A) 5.2 + 2.2x scoring 1 point

then the one after that one, it is:

(D) 14.92 - 0.02x scoring 0 point

then the one after that one, it is:

r = .50

and last but least,

As budgets increased, the gross revenue increased; r = 0.62. (C)

==============

ED2021

here to fix statistics for you :)

The probability of saving a penalty kick from the opposing team is .617 for a soccer goalie. If 7 penalty kicks are shot at the goal, what is the probability

Answers

Answer:

0.2754

Step-by-step explanation:

Probability of saving a penalty kick = 0.617

p = 0.617 ; q = 1 - p = 1 - 0.617 = 0.383

number of trials, n = 7

Number of saves, x = 5

Using the binomial probability relation :

P(x = x) = nCx * p^x * q^(n-x)

P(x = 5) = 7C5 * 0.617^5 * 0.383^2

P(x = 5) = 21 * 0.0894181 * 0.146689

P(x = 5) = 0.2754

Divide 240 in the ratio 1 : 5

Answers

Answer:

40 : 200

Step-by-step explanation:

1/6 x 240 = 40

5/6 x 240 = 200

a)
Complete this prime factor tree:
36
b)
Write 36 as a product of its prime factors.
Write the factors in order, from smallest to largest.

Answers

here u go!! hoped this helped

HELP ME PLEASE I WILL GIVE BRAINLIEST!

Answers

Answer:

the correct answer is option C

HELPPP ME PLEASE IT’S A VERY IMPORTANT TESTTTTT

Answers

Answer:

B also have a great day today

Answer:

D, Between 5.4 and 6.5

Step-by-step explanation:

anything less than .5 gets rounded down and anything higher gets rounded up so it'll end up with 6

Solve for x . Enter the solutions from least to greatest. x^2 + 3x - 4 = 0

Answers

Answer:

x^2+(4-1)x-4=0

x^2+4x-x-4=0

x(x+4)-1(x+4)=0

(x-1)(x+4)=0

either (x-1)=0                                   Or,(x+4)=0

x-1=0

x=0+1

x=1

x+4=0

x=0-4

x=-4

therefore x=-4,1

Step-by-step explanation:

The required solutions for x are x₁= 1 and x₁= -4, and we can write them from least to greatest as -4, 1.

What are the factors?

A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.

To solve for x in the quadratic equation x² + 3x - 4 = 0, we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

where a, b, and c are the coefficients of the quadratic equation (ax² + bx + c = 0).

In this case, a = 1, b = 3, and c = -4, so we have:

x = (-3 ± √(3² - 4(1)(-4))) / 2(1)

x = (-3 ± √(25)) / 2

x = (-3 ± 5) / 2

x₁ = (-3 + 5) / 2 = 1

x₂ = (-3 - 5) / 2 = -4

Therefore, the solutions for x are x₁= 1 and x₁= -4, and we can write them from least to greatest as -4, 1.

Learn more about Factors here:

https://brainly.com/question/24182713

#SPJ2

Megan recently invested $2,000 dollars in a fast-growing company. Her financial advisor expects that Megan's investment will grow in value by approximately 6% every month.
a) Write a function rule I(m) that models the value of Megan's investment after m months.
b) How much will her investment be worth in two years? Round to the nearest cent.

Answers

Answer:

2090

Step-by-step explanation:

0.06 × 2000 =120 therefore 120 × 24 =2088. and round off to the cent

Round your answer to the nearest hundredth find side BC

Answers

Answer:

take 70 degree as reference angle

using cos rule

let adjacent be x

cos70=adjacent/hypotenuse

0.34=x/5

0.34*5=x

1.7=x

Step-by-step explanation:

I need help y’all please

Answers

Answer:

12,214.51 meters cubed.

Step-by-step explanation:

5+5+5x500 x24000000000000

Answers

Answer:

6e+16

but that equals

32.3096909708

Answer:

6 x 10^ 17

Step-by-step explanation:

5+5+5 = 15

15 x 500 x 240000000000000

HELPPPP PLEASE QUICK !!!!
What is the domain and range of the function y=2* ?
Use the graph to help!
4
-2

Answers

Answer:

what graph

Step-by-step explanation:

Which polar coordinates represent the same point as the rectangular coordinates (-4,5)?

Answers

Answer:

2nd option

Step-by-step explanation:

To convert from (x, y ) → (r, θ )

where

r = [tex]\sqrt{x^2+y^2}[/tex]

θ = [tex]tan^{-1}[/tex] ([tex]\frac{y}{x}[/tex] )

Here (x, y ) = (- 4, 5 ), a point in the 2nd quadrant

r = [tex]\sqrt{(-4)^2+5^2}[/tex] = [tex]\sqrt{16+25}[/tex] = [tex]\sqrt{41}[/tex]

θ = [tex]tan^{-1}[/tex] ([tex]\frac{5}{4}[/tex] ) ≈ 51.3° ← related acute angle , then

θ = 180° - 51.3° = 128.7°

Thus

(- 4, 5 ) → ([tex]\sqrt{41}[/tex], 128.7° ) in polar form

El número de rebanadas de pizza que se comió cada persona en la fiesta de cumpleaños Elian son: 3,4,5,2,1,4,5,3,2,1,0,2,3,4,6. Media: Moda: Mediana:

Answers

Respuesta:

Modo = 2, 3, 4

Mediana = 3

Media = 3

Explicación paso a paso:

Dados los datos:

3,4,5,2,1,4,5,3,2,1,0,2,3,4,6

Datos pedidos: 0, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 6

La media = ΣX / n = 45/15 = 3

Donde n = tamaño de la muestra = 15

Mediana = 1/2 * (n + 1) th término

Mediana = 1/2 (16) término

Mediana = octavo término

Mediana = 3

Modo = 2, 3, 4 (el más alto ocurre con una frecuencia de 3 cada uno)

Please help solve
[tex]\left \{ {{y=-2x+6} \atop {y= x-3}} \right.[/tex]
[tex]\left \{ {{y=5x-4} \atop {y=4x+12}} \right.[/tex]
[tex]\left \{ {{y=\frac{2}{3}x-4 } \atop {y=-\frac{4}{3}+9 }} \right.[/tex]
[tex]\left \{ {{4y+7x=6} \atop {4y+7x =-5}} \right.[/tex]
[tex]\left \{ {{y=0.24x} \atop {y=20.18x+0.9} \right.[/tex]
[tex]\left \{ {{y=4.5x+15} \atop {y=5x+1.25}} \right.[/tex]
[tex]\left \{ {{y=3x} \atop {x+y=52} \right.[/tex]

Answers

The answers to the first two systems of equations

Lauren is given a 12% pay rise.Her new salary is £24,080. What was Lauren's salary before the pay rise?

Answers

Answer:

The base salary was £21,500.

Step-by-step explanation:

Giving the following information:

Increase rate (g)= 12%

New salary= £24,080

To calculate the base salary, we need to use the following formula:

Base salary= new salary / (1 + increase rate)

Base salary= 24,080 / (1.12)

Base salary= £21,500

The base salary was £21,500.

Im really questioning my answer to this
(-5) × 7​

Answers

Answer:

-35

Step-by-step explanation:

-5 times 7 = -35

hope that helped :)

Answer:

- 35

Step-by-step explanation:

The product of a negative and a positive is negative, so

- 5 × 7 = - 35

???????? HELLPLPPP ??????????

Answers

Answer:

I believe your equation is [tex]y=\frac{4}{5} x-2[/tex]

Step-by-step explanation:

Using the rise over run formula, you get the slope as 4/5. Then, you look for the y-intercept, which turned out to be -2.

A rug like a rectangle has a width of 3 m . The length of the rug is 2 m greater than its widith . What is the perimeter of the rug in meters

Answers

Answer:

16m

Step-by-step explanation:

Given data

Width = 3m

Lenght = 2+3= 5m

We know that the expression for perimeter is

P= 2L+2W

Substitute

P= 2*5+ 2*3

P= 10+6

P= 16 m

Hence the perimeter is 16m

After going on vacation, Mandy came home with $5. She spent $6 on a pair of sunglasses, $10 on snacks, $4 on a book, and $5 on arcade games. How much money did Mandy start with?​

Answers

Answer:

$30

Step-by-step explanation:

Adding up all the expenditures and the remaining amount

starting amount = expenses + remainder

starting amount = ($5 + $6 + $10 + $4) + ($5)

starting amount = $30

Find the length of the missing side.

Answers

Answer: Should be 14

Step-by-step explanation:

Using Pythagorean theorem, a^2 + b^2 = c2, so 8^2+12^2=c^2, 8^2=64 & 12^2=144, so 64+144=208 then you square root 208 to get 14.22 or 4√13

To solve the problem "56 is what percent of 70?", Noah uses the double number line below. On the double number line, write the correct numbers at each unlabeled tick mark. Then solve the problem. Explain your answer

Answers

Answer:

80%

Step-by-step explanation:

I have filled out and attached the double number line below. From the picture, we can see that the number 56 is 80% of 70. In the image, this is represented by the second number line where 80% is on the same tick as 56 is on the first number line. Mathematically this can be calculated by dividing 56 by 70 and then multiplying that decimal value by 100 to get the percentage like so...

56 / 70 = 0.8

0.8 * 100 = 80%

The sum of two numbers is 58. The smaller number is 20 less than the larger number. What are the numbers?

Answers

38 I hope that helps

Answer:

x=38 Larger number

y=20 Smaller number

Step-by-step explanation:

38+20=58

8. Expo markers cost $4.99 per pack. There is a 20%
discount if 4 or more packs are purchased at Office
Depot. Sales tax is 7%. If Nicole bought 8 packs of
expos, about how much did she pay?

Answers

Answer:

34.17

Step-by-step explanation:

8 packs x 4.99/pack=39.92

39.92x.8(100-20% discount)=31.94

31.94 x 1.07% (includes 7% sales tax)=34.17

Can someone please help me

Answers

Answer:

if I am correct the answer should be 2

Sara buys 4 candles for $12.25 each.
If she has a coupon for 15% off, and
tax is 8.5%, what is her final bill?

Answers

Answer:

$44.98

Step-by-step explanation:

12.25 x 4 = 49

if her coupon is 15% off then she pays 85% of 49, which is 41.65

8% tax added to 41.65 is, 41.65 × .08 = 3.33

total cost is 41.65 + 3.33 = 44.98

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