What is the equation of the line in slope-intercept form? the line perpendicular to y = x + 2 through (-7, -8)​

Answers

Answer 1

Answer:

[tex]y=-x-15[/tex]

Step-by-step explanation:

Point-slope formula: [tex]y-y_1=m(x-x_1)[/tex], where [tex](x_1, \ y_1)[/tex] are the coordinates of a point on the line, and [tex]m[/tex] is the slope of the line.

You are given a point that the line you are trying to find passes through, and a slope. The slope is less obvious than the point, but you can find the slope using the given information.

The line perpendicular to y = x + 2 will have the opposite reciprocal slope of this line. The slope of y = x + 2 is 1, so the opposite reciprocal of 1 is:

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

Now that you have both a point and the slope of the line you are trying to find, you can substitute these values into the point-slope formula (Notice: the name of this formula contains both "point" and "slope").

Substitute [tex](-7, \ -8)[/tex] for [tex](x_1,\ y_1)[/tex] and [tex]m=-1[/tex] into the point-slope formula.

[tex]y-(-8)=-1(x-(-7))[/tex]

Simplify this equation.

[tex]y+8=-1(x+7)[/tex]

Distribute -1 inside the parentheses.

[tex]y+8=-x-7[/tex]

Subtract 8 from both sides of the equation.

[tex]y=-x-15[/tex]

This line is in slope-intercept form ([tex]y=mx+b[/tex]), so we are done.


Related Questions

12(8 – 5) idk to anwsher plz hefp

Answers

Answer:

36

Step-by-step explanation:

12(8-5)

12 * 3

36

Answer:

36

Step-by-step explanation:

(8-5) =3  then u do

12x3=36

The Gators football team gained 4 yards on its first play, but lost 9 yards on the
second play. Which of the following best represents the result of these two
plays?

Answers

Answer:

-5 yards

Step-by-step explanation:

4 - 9

= -5

in that two plays:

loss 5 yards

Write the equation of a line in point slope form that passes through (-1, 4), and is perpendicular to y = -4x +3

Answers

Answer:

y = 1/4x + 17/4

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Perpendicular lines have the negative reciprocal slope.

m = 1/4

y = 1/4x + b

4 = 1/4(-1) + b

4 = -1/4 + b

17/4 = b

y = 1/4x + 17/4

which ordered pairs are solutions to the inequality y-3x<-4
(5,1)
(4,-2)
(-3,0)
(1,-1)
(0,-3)

Answers

Answer:

(5,1) (4,2)

Step-by-step explanation:

Tanya has 144 chairs that she needs to
arrange in a square. Which expression would tal
Tanya the number of chairs she needs in each
row?

Answers

Answer:

12 by 12

Step-by-step explanation:

12x12=144 which equals a square

brainliest will be awarded if uu give the correct answer:)))

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

Answers

Answer:

[tex]-0.25[/tex]

The decimal 0.5 represents the fraction 5/10. The decimal 0.25 represents the fraction 25/100.

[tex]\frac{25}{100}[/tex]

-BBBM

MATH EXPERTS I NEED YOU! Is it graph A, B, C, or D?

Answers

Answer:

Its the first graph ok kid

Step-by-step explanation:

I think it’s C but I’m not sure

Step 1: Select a two-digit number less than 100.
Step 2: Add 3 to your number.
Step 3: Double the result.
Step 4: Subtract 9.
Step 5: Multiply by 5.
Step 6: Add 15.
Step 7: Divide by 10
Did you get your original number? Use algebra to show why this works. How is
this problem different from the previous problem?

SOMEONE PLEASE HELPP MEEE!!!

Answers

Answer:

I'm unsure if this helps.

Step-by-step explanation:

step 1= 22

step 2= 25

step 3= 50

step 4= 41

step 5= 205

Step 6= 220

Step 7= 22

Which of the following is not equal to the rational number 7/4 ?

Option 1: 14/8
Option 2: 10/7
Option 3: 1.75
Option 4: 1 3/4

YOU COULD PICK MORE THEN ONE OPTION

Answers

Answer:

(2)  [tex] \frac{10}{7} [/tex]

Step-by-step explanation:

Given the rational number, [tex] \frac{7}{4} [/tex], the following can be said to be equal to the rational number:

1. [tex] \frac{14}{8} [/tex]

Simplify the fraction

[tex] \frac{2*7}{2*4} [/tex]

[tex] = \frac{7}{4} [/tex]

Therefore,  [tex] \frac{14}{8} = \frac{7}{4} [/tex]

3.  [tex] \frac{7}{4} = 1.75 [/tex] (using your calculator)

4. [tex] 1\frac{3}{4} [/tex]

Convert from mixed fraction to improper fraction

[tex] 1\frac{3}{4} = \frac{7}{4} [/tex]

[tex] \frac{10}{7} [/tex] ≠  [tex] \frac{7}{4} [/tex]

The answer is (2)  [tex] \frac{10}{7} [/tex]

A1 plumbing service charges $35 per hour plus a $25 travel charge for a service call. Good guys plumbing repair charges $40 per hour for a service call with no travel charge. How long must a service call be for the two companies to charge the same amount?

Answers

Answer: 5 hours

Step-by-step explanation: the equation is

35x + 25 = 40x just solve it to get 5

Use slope formula, m= y2, - y1 over X2-X1 to find the slope of a line that passes through the points (-3, 8) and (4.-6).

m=

use the slope-intercept form, y=mx+b to find the y-intercept (b) of the line

b=

what is the new equation written in slope-intercept form y=mx+b​

Answers

Answer:

m= -2

b= 2

y= -2x + 2

Step-by-step explanation:

Just did it

The slope of a line is m = -2 that passes through the points (-3, 8) and (4.-6), the y-intercept (b) of the line is 2, and the equation is y = -2x + 2.

What is the slope of the line?

The slope of a line is defined as the gradient of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Given that the line that passes through the points (-3, 8) and (4.-6).

Let

x₁ = -3, y₁ = 8

x₂ = 4, y₂ = -6

∵ Slope m = (y₂ - y₁)/(x₂ -x₁  )

Substitute values in the formula

m = (-6 - 8)/(4 -(-3))

m = (-14)/7

m = -2

y - 8 = m(x - (-3))

y - 8 = -2(x + 3)

y = -2x -6 + 8

y = -2x + 2

Since the slope-intercept form, y = mx+b

So the y-intercept (b) of the line,

b = 2

Thus, the slope of a line is m = -2 that passes through the points (-3, 8) and (4.-6), the y-intercept (b) of the line is 2, and the equation is y = -2x + 2.

Learn more about the Slope of the Line here:

brainly.com/question/14511992

#SPJ2

help plz explain how to use discributive property

Answers

1.Identify the fractions. Using the distributive property, you’ll eventually turn them into integers.

2.For all fractions, find the lowest common multiple (LCM) -- the smallest number that both denominators can fit neatly into. This will allow you to add fractions.

3.Multiply every term in the equation by the LCM.

4.Isolate variables adding or subtracting like terms on both sides of the equals sign.

5.Combine like terms.

6.Solve the equation and simplify, if needed.

you would write two numbers adding or subtracting eachother in parentheses then a number on the outside and you take the number on the outside and multiply it by both the numbers in the parentheses then you’ll have two numbers adding or subtracting eachother for example 2(10+8) then you’d get 20+16 witch is also your problem

answer this question JUST FOR POINTS this is not a real question (2+2)​

Answers

Answer:

4 I think I could be wrong hahaha

It’s 4
Thanks for the points :)

Wreh runs laps around a track every day after work. He runs at a constant rate and completes about 12 laps every 18 minutes.

How many minutes does it take Wreh to run 30 laps?
Solve this problem two different ways. Note: cross multiplication will only receive credit as one approach.

Answers

Answer:

It willtake 45 minutes

Step-by-step explanation:

divide 18 by 12= 1.5, so multiply 1.5 by 30

A school principal plans to form teams from 126 third-graders, 180 fourth-graders, and 198 fifth-graders so that there is the same number of students from each grade level on each team. If all students participate, what is the largest possible number of teams and how many students will there be on each team?

Answers

Answer:

There are 9 teams possible each having 14 third-graders, 20 Fourth-graders, 22 Fifth-graders

Step-by-step explanation:

126 third-graders

180 fourth-graders

198 fifth-graders

Find the highest common factor of 126, 180, 198

Factors of 126: 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126.

Factors of 180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Factors of 198: 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198.

The highest common factor of 126, 180, 198 is 9

The largest possible number of teams that can be formed is 9

Each team has

third-graders = 126 / 9

= 14

Fourth-graders = 180 / 9

= 20

Fifth-graders = 198 divided by 9

= 22

There are 9 teams possible each having 14 third-graders, 20 Fourth-graders, 22 Fifth-graders

Rewrite the range of each company’s wireless access devices in feet using scientific notation. (5,280 feet =1 mile)

Answers

Answer: in pics it’s the answer key

Step-by-step explanation:

Solve –8y + 3 > –5.

A. {y | y < –1}
A. {y | y < –1}

B. {y | y > 1}
B. {y | y > 1}

C. {y | y > –1}
C. {y | y > –1}

D. {y | y < 1}

Answers

A bc it’s less then

Answer:

.

Step-by-step explanation:

Is the function even, odd, or neither?

Answers

Answer:

The function is neither even or odd

Step-by-step explanation:

Gender plays an important role in the six components of health.
Please select the best answer from the choices provided.

The ANSWER IS

T


I know because I just took the test

Answers

Answer:

sorry I didn't understand the answer t what is the answer t can u elaborated

Answer:

false

Step-by-step explanation:

its right

What is the scale factor to go from small triangle to the large triangle?

Answers

Divide both numbers in one of the ratios by their highest common factor. This will give you the scale factor of the bigger triangle to the smaller triangle.

التاريخ / /
اليوم
موضوع الدرس
و(
is 82
room )
what is
ده by
و به
the
area
0
the
room?can I translate in English ​

Answers

I cannot read what this is but can you translate

A person going to a party was asked to bring 4 different bags of chips. Going to the store, she finds 13 varieties.

How many different selections can she make?
(this is a probability question)

Answers

Answer:

Step-by-step explanation:

13!/4(13-4)!

13!/4(9)!

Continue simplifying.

The formula for combinations n!/r!(n-r)! pay attention to class next time

"715" are the different selections she can make.

Given:

Number of different begs,

4

Total number of varieties,

13

So,

Total number of different selection = ¹³C₄

= [tex]\frac{13!}{4!\times (13-4)!}[/tex]

= [tex]\frac{13!}{(4!\times 9!)}[/tex]

= [tex]\frac{13\times 12\times 11\times 10}{4\times 3\times 2}[/tex]

= [tex]\frac{17160}{24}[/tex]

= [tex]715[/tex]

Thus the above answer is correct.

Learn more:

https://brainly.com/question/21125879

Martha drove 281.4 miles in 4.2 hours. How fast was she driving?

Answers

Answer:

I think your answer would be 67 mph

Step-by-step explanation:

281.4 / 4.2 = 67

Formula for speed:

d / t = s

Y+5<3 inequality solution

Answers

Answer:

y=2

Step-by-step explanation:

y + 5 < 3

- 5 -5

y = 2

.................................

PLEASE HELP
A cleaning spray contains 1/2 cup of vinegar for every 4 teaspoons of lemon oil

how many cups of vinegar are needed for 2 teaspoons of lemon oil?

Answers

Answer:

1/4 cup of vinegar for 2 tsp of lemon oil

Step-by-step explanation:

got it right on I-ready

and the Rate in cups of vinegar per teaspoons of lemon oil is 1/8

para calcular el tanto por ciento de una cantidad tengo que​

Answers

Answer:

Your answer is: Use the percentage formula: P% * X = Y  

Step-by-step explanation:

Hope this helped : )  

Su respuesta es: Utilice la fórmula de porcentaje: P% * X = Y

Espero que esto haya ayudado :)

Paige mows
1
4
acre in
1
2
hour. How many acres does Paige mow per hour?

Answers

Answer:

1.16

Step-by-step explanation:

you have to divide 14 by 12 since the amount of acres mowed in 12 hours is how much acres she's mowed.

Gus has a lunch food budget of $190 per month. He spends an average of $5 per day on lunch. Which of the following equations represents how much money is left in his lunch budget after x days of buying lunch?
A.
y = 5x - 190
B.
y = 190 - 5x
C.
y = 190x - 5
D.
y = 190 + 5x

Answers

Answer:

The answer is C.

Step-by-step explanation:

Each day (x) he loses 5 dollars from his total of 190. And C shows that because 190 - 5 x. 190 is his total, 5 is dollars lost a day, and x is days

MLN=QPR. What is the measure of <1 and <2?

Answers

Answer:

B. <1 = 90, <2 = 40

Step-by-step explanation:

Given that ∆MLN = ∆QPR, it follows that the measure of their corresponding angles would be of the same measure.

<P = right angle = 90°

<1 corresponds to <P, therefore, <1 = 90°

<R = 40°

<2 corresponds to <R, therefore, <2 = 40°.

The answer would be: B. <1 = 90, <2 = 40

Solve using equivalent ratios.
Leila and Joe are two partners in a business. Leila makes $5 in profits for every $9 that
Jo makes. If Jo makes $36 profit on the first item they sell, how much profit does Leila
make?

Answers

Answer:

$20

Step-by-step explanation:

Leila to Jo: $5/$9

Leila to Jo: x/$36

5/9 = x/36

Cross multiply.

9x = 5 * 36

Divide both sides of the equation by 9.

x = 5 * 4

x = 20

Answer: $20

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