What is the equation of the line that passes through the point (-5, -3) and has a
slope of -1

Answers

Answer 1

Answer:

The equation of the line is y = - x - 8

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

m is the slope of the lineb is the y-intercept

Let us solve the question

∵ The slope of the line is -1

m = -1

→ Substitute it in the form of the equation above

∴ y = -1(x) + b

∴ y = - x + b

→ To find b substitute x and y in the equation by the coordinates of

   a point lies on the line

∵ The line passes through point (-5, -3)

∴ x = -5 and y = -3

∵ -3 = - (-5) + b

→ Remember (-)(-) = (+) and (-)(+) = (-)

∴ -3 = 5 + b

→ Subtract 5 from both sides

∴ -3 - 5 = 5 - 5 + b

-8 = b

→ Substitute it in the equation

∴ y = - x + (-8)

∴ y = - x - 8

The equation of the line is y = - x - 8


Related Questions

SO GOD HELP ME I HATE MATH

Answers

Answer:

-4/5

Step-by-step explanation:

Answer:

-5/4

Step-by-step explanation:

Rise over run (It rises up 5 and to the left 4 between intersecting lines)

Simplify the expression |1/12 - 5/6| - (2/5 + 1/10)

Answers

Answer:

Step-by-step explanation:

=|-3/4|-(2/5+1/10)

=0.75-(2/5+1/10)

=0.75-(2/5+1/10)

=0.75-1/2

=0.25

Answer:

1/4

Step-by-step explanation:

i did this question on time4learning 2022

Melissa was recording the heights of 4 flowers in her garden. The rose bush grew 12 inches in 1 month, the daisies grew 5 inches in 2 weeks, the tulips grew 8 inches in 3 weeks, and the daffodils grew 3 inches in 1 week. Which flower grew at the slowest rate?

Answers

Answer:

Daisies flower grows the slowest

Step-by-step explanation:

We are given;

Rate of growth of rose bush; 12 inches in 1 month.

1 month = 4 weeks.

Thus, we have; 12 inches in 4 weeks.

In 1 week, it grows; 12/4 = 3 inches per week

Rate of growth of daisies; 5 inches in 2 weeks. Thus, in 1 week, it grows by; 5/2 = 2.5 inches per week.

Rate of growth of tulips; 8 inches in 3 weeks. In one week, it grows by; 8/3 = 2.67 inches per week

Rate of growth of daffodils; 3 inches in 1 week = 3 inches per week

Looking at all the rates above, the slowest is 2.5 inches per week. This is for daisies.

Carl and Cameron are at a pool carl dives in and touches the bottom of the pool 15 feet below the surface of the water Cameron standing on a diving platform 2 feet above the surface waiting for his turn what is the vertical distance between Carl's hand and Cameron feet

Answers

Answer:

21

Step-by-step explanation:

Answer:

17ft

Step-by-step explanation:

If Carl touches the bottom with his hand which is 15ft below the surface, and Cameron is standing 2 feet above the surface, all you have to do is add the two together. Cameron's feet are 2 feet above the surface, Carl's hand is 15ft below. 15 + 2 is 17.

A principal evenly distributes 6 reams of copy paper to 8 fifth-grade teachers How many reams of paper does each fifth-grade teacher receive? b. If there were twice as many reams of paper and half as many teachers, how would the amount each teacher receives change?

Answers

Answer:

a. 0.75 reams

b. The amount of reams received by each teacher would increase by 2.25 reams.

Step-by-step explanation:

Total reams of copy paper = 6

Number of fifth-grade teachers = 8

a. Number of reams collected by each teacher = [tex]\frac{number of reams}{number of teachers}[/tex]

                                                    = [tex]\frac{6}{8}[/tex]

                                                    = [tex]\frac{3}{4}[/tex]

                                                    = 0.75 reams

b. Twice as many reams of paper = 2 x 6

                                                        = 12

Half as many teachers = [tex]\frac{1}{2}[/tex] x 8

                                      = 4

Number of reams collected by each teacher = [tex]\frac{12}{4}[/tex]

                                       = 3 reams

The amount of reams received by each teacher would increase by;

                                     3 - [tex]\frac{3}{4}[/tex]

                                       = [tex]\frac{12 - 3}{4}[/tex]

                                       = [tex]\frac{9}{4}[/tex]

                                      = 2.25 reams

The amount of reams received by each teacher would increase by 2.25 reams.

John's library has 3 hardcover books for every 8 paperbacks. If he has 121 books in his library, how many of them are paperbacks. Will mark brainliest if correct. Pls show work.

Answers

Answer: 88

Step-by-step explanation:

1. Add 3 and 8 together

3 + 8 = 11

2. Divide 121 by 11

121/ 11 = 11

3. Multiply the amount of paperbacks in the stack of 11 books (8) by 11

11 x 8 = 88

88 Is your answer.

Help ASAP..............

Answers

Answer:

3

Step-by-step explanation:

its not a perfect square

When playing many games, players must roll a pair of dice and find the sum of the two numbers rolled. With two dice, there are 11 possible sums ranging from 2 through 12. What is the probability that a player will roll a sum of 11 on his first roll of two dice? Express your answer as a common fraction.

Answers

Answer:

[tex]Probability = \frac{1}{18}[/tex]

Step-by-step explanation:

Given

[tex]Dice = 2[/tex]

Required

Probability of getting sum of 11

First, we need to list out the sample space;

Represent the first dice with S1 and the second with S2

[tex]S_1 = \{1,2,3,4,5,6\}[/tex]

[tex]S_2 = \{1,2,3,4,5,6\}[/tex]

Represent the Sum of the outcome with S

So, the new sample space is the sum of outcome of S1 and S2

So, S is as follows:

[tex]S = \{2,3,4,5,6,7,3,4,5,6,7,8,4,5,6,7,8,9,5,6,7,8,9,10,6,7,8,9,10,11,7,8,9,10,11,12\}[/tex]

Represent the number of sample space with n(S)

[tex]n(S) = 36[/tex]

To determine the probability of outcome of 11, we need to list out the number of outcomes of 11.

Represent this with n(11)

From the sample space above,

[tex]n(11) = 2[/tex]

The required probability is then calculated as thus:

[tex]Probability = \frac{n(11)}{n(S)}[/tex]

[tex]Probability = \frac{2}{36}[/tex]

Simplify to the least term

[tex]Probability = \frac{1}{18}[/tex]

3r - 5 = 2r
How many solutions?

Answers

Answer:

one solution

Step-by-step explanation:

3r - 5 = 2r

=> 3r - 2r = 5

<=> r = 5

Answer:

One solution

Step-by-step explanation:

3r - 5 = 2r

-5 = 2r - 3r

-5 = -r

5 = r

Over a period of 3 hours 180 acorns fell from a tree. How many acorns fell in one hour?

Answers

Answer:

That is very easy it is 60

Step-by-step explanation:

Answer:

Step-by-step explanation:

3h=180

/3 /3

h=60hours

what is 9 plus 9 divided by 1

Answers

Answer:

18

Step-by-step explanation:

9+9=18 x 1= would just be 18

Answer:

18

Step-by-step explanation:

Do you know the answer?

Answers

Answer:

D: x=-3/k

Step-by-step explanation:

kx+7=4 (Subtract 7 from both sides)

kx=-3 (Divide both sides by k)

x=-3/k

The Rodriguez family went out to dinner and the bill came to $35.85. They wanted to leave a 20% tip. What is the tip? What is the total amount the Rodriguez family spent at the restaurant?

Answers

Answer:

The tip is $7.17

Total amount spent is $43.02

Step-by-step explanation:

The bill is $35.85

The tip is 20%

You want to find 20% of $35.85 so multiply 35.85 by .2 (20% to decimal is .2)

35.85 multiplied by .2 gives you $7.17

So the tip is going to be $7.17

The total amount the family pays is the sum of the tip and the bill so

tip + bill = $7.17+$35.85 = $43.02

hope this helps

Answer:

total = $43.02

Step-by-step explanation:

for tip,

X = 20% of bill

X = 20/ 100  X $35.85

X = $ 7.17

For total amount,

total = bill + tip

        = $35.85 + $7.17

        = $43.02

The graph shows a proportional relationship between the distance a car travels and the fuel it consumes.


Based on the graph, the car requires gallons of fuel to travel 100 miles.
PLZ HELP

Answers

Answer:

2.5 gallons

Step-by-step explanation:

You can just check the graph by searching for the y-axis for 100miles ^^

Answer:

2.5 gallons

Step-by-step explanation:

PLEASE HELP ME!!
Consider a 7 digit number in the form ABC-XXXX where A is 2-9 and X, B, and C can be
any digit 0-9. Additionally B and C cannot both equal 1 since these values are designated for other purposes such as services like 911. Lastly 555-0100 through 555-0199 are reserved for fictional uses such as in television shows or movies.
According to these conditions, how many 7-digit numbers are possible in a single area
code?

Answers

Answer:

dude just what's your fortnite username

The population growth (in thousands) for Decatur can be represented by the expression 3x + 5 3 x + 261, where x represents the number of years since 2016. The population growth (in thousands) for neighboring Lithonia can be represented by the expression 4x - 5 2 x + 212, where x represents the numberof years since 2016. The governor of Georgia would like to know when the populations of the two towns will be equal.

Answers

Answer:

1967 or 2069

Step-by-step explanation:

To do this, you need to equal the expressions:

3x^2+53x+261=4x^2-52x+212

now, solve for y, when x=0:

-1(0)^2+53(0)+261=4(0)^2-52(0)+212

0+0+261=0-0+212

261=212

the difference is 49, so 49 years before or after 2016.

i think i did this right, if not im sorry bc im tired

4x – 6x combining like terms

Answers

Answer: -2x

Step-by-step explanation: Very easy maths. Just add 4x + -6x, which is -2x. There's your answer.

since both of the X is to the power of one. You can act as if they’re imaginary. do 4 - 6 which equals -2. then your answer would be -2x.

-3 1/3 times -2 7/10

Answers

Answer: how do I say this.....

Step-by-step explanation:

-9

Step-by-step explanation:

[tex]( - 3 \frac{1}{3} ) \times (- 2 \frac{7}{10} ) \\ \\ - \frac{10}{3} \times ( - \frac{27}{10} ) \\ \\ \frac{270}{30 } = 9[/tex]

I tried to do this may I pls get a little help

Answers

Answer:

-115

Step-by-step explanation:

well first look at your picture -115 is in the integers circle not the whole numbers one also a whole number can't be a negative number

Can someone PLEASE HELP ME

Answers

Answer:

Sorry cant HELP BECAUSE YOU PUTTED IN THE MATHEMATICS ONE

Step-by-step explanation:

sorry cant help I thought it was math.._..

( PLEASE ANSWER I WILL AWARD BRAINLIEST) A train is traveling at a constant speed and goes 7.5 kilometers in 6 minutes. At that rate:

How far does the train go in 1 minute?



How far does the train go in 100 minutes?

Answers

Answer:

#1-1.25

#2-125

Step-by-step explanation:

s=d/t

s=7.5/6

s=1.25

d=s*t

d=1.25*1

d=1.25

d=s*t

d=1.25*100

d=125

To even check my answer if you do 1.25*6 you get the distance 7.5 that was mentioned in the question.

Hope this helps! :) Plz mark as brainliest

if 12 cows produce 70 gallons of milk how many gallons of milk would 42 cows produce

Answers

Answer:

245

Step-by-step explanation:

4242/12=3.5

70×3.5=245

Find the value of x in the triangle shown below.

x = ?

(this is another question)

Answers

Step-by-step explanation:

in a triangle = 180°

56 + 37 + x = 180

93 + x = 180

x = 180 - 93

x = 87

Home improvement charges $360 plus $12 per hour.Ace hardware charges $279 plus $15 per hour.Write and solve an equation for which the two cost would be the same

Answers

Answer:

360+12x=279+15x

The two costs would be the same when both companies charge 27 hours.

Step-by-step explanation:

From the information given, you need to find the number of hours where both companies charge the same and to do that, you can write an equation where Home Improvement cost is equal to Ace Hardware cost:

360+12x=279+15x, where x is the number of hours

Now, you can solve for x:

360-279=15x-12x

81=3x

x=81/3

x=27

According to this, the answer is that the two costs would be the same when both companies charge 27 hours.

In a term, the coefficient is written before the variable.
True Or False

Answers

Answer:

True, in the term 4x the coefficient would b 4 and the variable would be x

Answer:

True

Step-by-step explanation:

It is true not false. Very True

Write the expression:

"ten divided by three times a number

Answers

Answer:

10÷3x just put that down,I hope that's what you were looking for

Answer:

10/(3n)

Step-by-step explanation:

So it would be 10 divided by 3n since the n is right next to the 3 that meanns it will be multiplied.

If 8/2x-3 = 4, what is the value of x?

Answers

Yooo the answer is 1 pls mark brainliest

Answer:

extract-7/4

decimal-1.75

mixed number-1 3/4

Step-by-step explanation:

A particular plant root grows 1.5 inches per month. How many centimeters is the plant root growing per month? (1 inch = 2.54 centimeters). 0.59 centimeters 1.69 centimeters 3.81 centimeters 4.04 centimeters

Answers

Answer:

The plant root grows 3.81 centimeters per month.

Step-by-step explanation:

From Physics, we remember that an inch equals 2.54 centimeters. Given that a particular plant root grows 1.5 inches per month, we proceed to make a quick conversion to calculate its value in centimeters per month:

[tex]x = 1.5\,\frac{in}{mo}\times \frac{2.54\,cm}{1\,in}[/tex]

[tex]x = 3.81\,\frac{cm}{mo}[/tex]

The plant root grows 3.81 centimeters per month.

x^3 = -27 whats the answer

Answers

Answer:

-3

Step-by-step explanation:

The answer is -3 because -3 *-3 * -3 would equal -27

Hope this helps:)

PLEASE HELP!!!!!!! I have until 12:00 est time.!

Answers

Answer:

Step-by-step explanation:

5(4+2)+2=32

20-(8*(6-6))=20

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