Find the equation of the line with slope −7 which goes through the point (−5,5).
Give your answer in slope-intercept form y=mx+b.

Answers

Answer 1

Answer:

[tex]\boxed {\boxed {\sf y= -7x -30}}[/tex]

Step-by-step explanation:

We are asked to find the equation of a line,  given a point and a slope.

We can use the point-slope formula:

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

In this formula, (x₁, y₁) is the point and m is the slope. This line has a slope of -7 and passes through the point (-5,5). Therefore:

x₁ = -5 y₁= 5 m= -7

Substitute the values into the formula.

[tex]y-5= -7 (x- -5)[/tex]

[tex]y-5= -7(x+5)[/tex]

We want to give the answer in slope-intercept form, or y=mx+b. We must isolate the variable y.

First, distribute the -7 on the right side of the equation. Multiply each term inside the parentheses by -7.

[tex]y-5= (-7*x) + (-7*5)\\y-5 = (-7x) + (-35) \\y-5= -7x -35[/tex]

5 is being subtracted from y. The inverse operation of subtraction is addition. Add 5 to both sides of the equation.

[tex]y-5+5 =-7x -35 +5 \\y= -7x -35 +5 \\y= -7x +30[/tex]

The equation of the line is y= -7x+30.


Related Questions

Does anybody know the slope for these graphs?

Answers

5. 4/3 6. Undefined 7. -1

-7(8) What is it please help me I need help help help help

Answers

The Answer should be 10

A.CED.A Garnetta owned 2400 shares of Metropolitan Corporation at a price of $45.50. The stock split 4-for-3. How was Garnetta financially affected by the split

Answers

Garnetta will have 3,200 shares worth $ 34,125 each.

Given that Garnetta owned 2400 shares of Metropolitan Corporation at a price of $ 45.50, and the stock split 4-for-3, to determine how Garnetta was financially affected by the split the following calculation must be performed:

3 = 2400 4 = X 4 x 2400/3 = X 9600/3 = X 3200 = X  (2400 x 45.50) / 3200 = X 109200/3200 = X 34.125 = X

Therefore, Garnetta will have 3,200 shares worth $ 34,125 each.

Learn more in https://brainly.com/question/13981349

PLEASE HELP WITH THIS PROBLEM

Answers

Answer:

x=4

Step-by-step explanation:

Solve the equation 3/4-4x+7/2=-9x+5/6 show work

Answers

Answer: For this equation, the value of x is - 2/3.

Step-by-step explanation:

1. Resolving the equation 2/3-4x+7/2=-9x+5/6

-4x + 9x = 5/6 - 2/3 - 7/2 (Putting the all the x values on the left)

5x = (5/6 - 4/6 -21/6)

5x = -20/6

x = - 20/6 /5 (Dividing by 5 at both sides)

x = -20/6 * 1/5

x = -4/6 = - 2/3 (Simplifying)

2. Proof of replacing x by -2/3

2/3 - 4 (-2/3) + 7/2 = -9 (-2/3) + 5/6

2/3 + 8/3 + 7/2 = 18/3 + 5/6

10/3 + 7/2 = 6 + 5/6

20 + 21 = 36 + 5 (Multiplying by 6 at both sides)

41 = 41

It means the value of -2/3 for x is correct

Answer:

[tex]x=-\frac{41}{60}[/tex]

Step-by-step explanation:

[tex]Grou. similar.terms:\\\frac{3}{4} -4x+\frac{7}{2} = -9x+\frac{5}{6} \\Find LCM (Lest Common Multiplier) and adjsut:\\[/tex]

[tex]-4x+\frac{3+14}{4} =-9x+\frac{5}{6} \\\\Subtract\\-4x+\frac{17}{4} - \frac{17}{4} =-9x+\frac{5}{6} - \frac{17}{4}\\After simplifying add\\-4x + 9x =-9x- \frac{41}{12} + 9x\\Simplify\\5x = - \frac{41}{12}\\Divide\\\frac{5x}{5} = \frac{-\frac{41}{12}}{5} \\Simplify.one.last.time\\x=-\frac{41}{60}[/tex]

Don't forget the - in front of the answer

4 CHALLENGE 35 toes—how
many
feet?
Hint Draw a picture to help.
How many in all?

Answers

there are 7 feet because there are 5 on each foot do 35 divided by 5 is 7

A car rental agency charges $150 per week plus $0.20 per mile to rent a car. How many miles can
you
travel in one week for $290?
A) 208
B) 1450 miles
C) 700 miles
D) 675 miles

Answers

C). 700 miles
290-150=140
140 divided by .20 is 700 miles

Original price of shorts $53.95 Discount 30% Tax 4.5?
Please help what’s the correct answer ???

Answers

Answer:

72.8325

Step-by-step explanation:

I think it is that

Kendrick had 2 / 3 of an ice cream cake left. Each piece on the ice cream cake is 1 / 12 of the entire cake. How many pieces are left?

Answers

Answer:

8 pieces

Step-by-step explanation:

2/3 = 1/12c

cross-multiply to get:

3c = 24

c = 8

Use a table to find the solution to the situation.
Larry's small business has $30,000 in its bank account and makes automatic monthly payments that total
$10,000. If he stops making deposits to that account, when would the automatic payments make the
value of the account zero?
The value of the account would be zero in months.

Answers

Answer:

Step-by-step explanation:

30,000 /10,000= 3 months

2x+3-3=-6



solve right please

Answers

Finding the value of x,

→ 2x + 3 - 3 = - 6

→ x + (3 - 3) = - 6/2

→ [ x = -3 ]

Thus, the value of x is -3.

The total cost for tuition plus room and board at State University is $2737. Tuition costs $787 more than room and board. What is the tuition fee?
What is the cost of tuition?

Answers

Answer 1,950 because you must subtract, just look at the key words like “ more than “


What is the slope of the line y = -4?

Answers

The slope should be m= 0

What is the principal amount if the interest rate is 3.5% a year and the amount of interest is 183.75 for 21 months?

Answers

The principal amount if the interest rate is 3.5% a year is equal to $3000.

Given the following data:

Interest rate = 3.5%Simple interest = $183.75Time = 21 months

Conversion:

12 months = 1 year

21 months = 1.75 year

To calculate the principal amount if the interest rate is 3.5% a year:

Mathematically, simple interest is given by the formula:

[tex]S.I = \frac{PRT}{100}[/tex]

Where:

S.I is the simple interest.P is the principal amount.R is the interest rate.T is the time measured in years.

Making P the subject of formula, we have:

[tex]P = \frac{100S.I}{RT}[/tex]

Substituting the given parameters into the formula, we have;

[tex]P = \frac{100 \times 183.75}{3.5 \times 1.75}\\\\P = \frac{18375}{6.125}[/tex]

Principal amount, P = $3000

Read more: https://brainly.com/question/22621039

what is 9x7write the answer down ​

Answers

Answer:

63

Step-by-step explanation:

which is the correct answer??
geometry

Answers

Answer:

SAS || Side - Angle - Side

Step-by-step explanation:

You have 2 sets of congruent sides, and one set of congruent angles between them. (SAS)

That angle is congruent because ∠QRP and ∠TRS are vertical angles, and vertical angles have the same measurement.

Sophia uses 3 cups of peanut butter to make 51 peanut butter cookies. At this rate, how many cups of peanut butter does she need to make 153 peanut butter cookies?​

Answers

You need 9 cause 9 x 51
You need 9 cups of peanut butter

Which number line and expression show how to find the distance from -4 to -1

Answers

Answer:

C

Step-by-step explanation:

because i said

The cost of producing higlighter​s with the company logo printed on them consists of a onetime setup fee of $160.00 plus $0.65 for each higlighter produced. This cost can be calculated using the formula C=160.00+0.65p, where p represents the number of higlighters produced and C is the cost. Use the formula to calculate the cost of producing 2400 higlighters. (Do not inlcude a comma in your answer)

Answers

Answer:

7839 ...........

Name x1, x2, y1, and y2. Then, find the distance between the points.

Answers

Answer:

wwwwwwwwwwwwwwwwwwwwwwhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaatttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt what

Complete the equation to show how many tenths are equivalent to 1/2

Answers

Answer:

5/10

Step-by-step explanation:

Write the quadratic function in f(x)=a(x−h)2+k form whose graph is shown below.



The graph shows a downward facing parabola with vertex (negative 3, 4) and y-intercept (0, negative 5).

Answers

[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{o pens~\cap}\qquad \stackrel{"a"~is~positive}{o pens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex](\stackrel{h}{-3}~~,~~\stackrel{k}{4})\qquad \implies f(x) = a[x-(-3)]^2+4\implies f(x) = a(x+3)^2+4 \\\\\\ \textit{we know that} \begin{cases} x=0\\ f(x) = -5 \end{cases}\implies -5=a(0+3)^2+4\implies -5=9a+4 \\\\\\ -9=9a\implies \cfrac{-9}{9}=a\implies \boxed{-1=a}~\hfill \blacktriangleright f(x)=-(x+3)^2+4 \blacktriangleleft[/tex]

Two trains leave the station at the same time, one heading west and the other east. The westbound train travels at 95 miles per hour. The eastbound train travels at 85 miles per hour. How long will it take for the two trains to be 468 miles apart?

Answers

Step-by-step explanation:

x = traveled hours

when multiplying miles/hour by hours, this gives

hours × miles / hours

so, the dimension hours is eliminated on top and bottom of that fraction (or ratio) leaving only miles.

therefore,

468 = 95x + 85x = 180x

x = 468/180 = 2.6 hours or 2 6/10 hours = 2 hours and 6×6 minutes = 2 hours and 36 minutes

remember,

1 hour = 60 minutes

1/10 hour = 60/10 = 6 minutes

Answer:

Step-by-step explanation:

2.6 h

pls helpppppp i begggg​

Answers

Answer

x Is less than 4

Step-by-step explanation:

It will be an open circle and the arrow is going the left direction on the number 4

Alice uses a table to record the number of black cars, b, that passed by her house in h hours.
b is directly proportional to h.

Answers

Answer:

1/2

Step-by-step explanation:

b is directly proportional to h.

b = kh

take any (h, b) point

using (28, 14)

14 = k(28)

Divide both sides by 28

1/2 = k

1/2

write the standard form of the equation of the circle with the given characteristics end point of diameter (-4,-1) , (4,1)​

Answers

Answer:

x² + y² = 17

Step-by-step explanation:

The standard  equation of a circle is :

(x -h)² + ( y -k) ²= r², where (h, k) are the a coordinate of the center of the circle and r is the radius of the circle

If the end point of diameter has the coordinates (-4,-1) and  (4,1)​ then the center is at the origin so we have (h= 0, k= 0)

The radius is half of the diameter so is the distance form (0,0) to (4, 1).

We can use Pythagorean Theorem to find r²

r ² = 4²+1² =  17

(x -h)² + ( y -k) ²= r², substitute what we found out

(x -0)² + ( y -0) ²= 17

x² + y² = 17

This is the equation of the circle given characteristics end point of diameter (-4,-1) , (4,1)​

The weight of an adult standard poodle was found to follow a normal distribution with a mean of 50 pounds and a standard deviation of 15 pounds. If represents the mean weight of a random sample of 7 adult standard poodles, what is (round off to second decimal place)

Answers

Using the Central Limit Theorem, it is found that the distribution of the sample means of the weights of the 7 adult standard poodles is normal, with mean of 50 pounds and standard deviation of 5.67 pounds.

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

In this problem, for the population, [tex]\mu = 50, \sigma = 15[/tex].

Sample of 7, hence [tex]n = 7, s = \frac{15}{\sqrt{7}} = 5.67[/tex]

The distribution of the sample means of the weights of the 7 adult standard poodles is normal, with mean of 50 pounds and standard deviation of 5.67 pounds.

A similar problem is given at https://brainly.com/question/25606713

the total whole numbers less than 1539 divisible by 12​

Answers

Answer:

the ancwer is 1536

Step-by-step explanation:

i used a coculater

Please take a look at the picture.

Answers

Answer:

I think it is total cost

solve this equation:

1.25x+5.00 greater than or equal to 20.00

Answers

x is greater than it equal to 12
Other Questions
brainlyest if u give the right answer why there is no way of water in nepal Axons insulated by a(n) _____ are able to conduct impulses faster that those not so insulated. 5. Simplify:2x^2(-3x^2)^3 which is not a run on sentence Something happened to the battery and the car wouldn't start.a.Something happened to the battery; and the car wouldn't start.b.Something happened to the battery and the car wouldn't start.c.Something happened to the battery, and the car wouldn't start.d.Something happened to the battery, and, the car wouldn't start. PART B: Which of the phrases from the text best support the answer to Part A?A. "When the Indians sat down to the 'First Thanksgiving with the Pilgrims, it wasreally the fifth thanksgiving of the year for them!" (Paragraph 11)B. "It is important to understand all of the story and not just the happy part."(Paragraph 15)C. "When the Pilgrims arrived, we, the Wampanoags, welcomed them with openarms." (Paragraph 16)D. Although our way of life is almost gone, we the Wampanoags, still walk thelands of Massachusetts." (Paragraph 17) Find the unit rate for each problem Where is United Arab Emirates located A 2-lb block of cheese us cut into 8 pieces of equal mass. What is the mass of each piece? (In oz) What is the probability that a point chosen at random in the rectangle is also in the blue triangle?A triangle inside of a rectangle. The triangle is shaded and has a base of 5 inches and height of 4 inches. The rectangle is not shaded and has a height of 4 inches and length of 5 inches.One-halfFour-fifths12Simplify: If Damien works for 10 hours each week and he made $123.60for the week, how much was he making per hour? y = -7x - 21What is the slope of this equation and what is the Y intercept. This Constitutional right forbids Congress from sending a person to prison__ Explain what this Constitutional right is:___ A student graphed the position of a cart during a 7-second time interval.Which statement best describes the cart? A. The cart was stationary except for a short burst of acceleration of 0.5 m/s. B. The cart accelerated at a constant rate of approximately 0.8 m/s. C. The cart was stationary with a velocity of 0 m/s for the entire 7 seconds. D. The cart moved at a constant velocity of 0.5 m/s for the entire 7 seconds. b. Discuss Akber's conquest of Gujrat and Bengal. 8.5x-y= 16O -y= 5x + 16O x=5y-16O y= 5x +16O y= 5x- 16 Only answer this if you know the answer.Find The nth Term of this number sequence18, 16, 14, 12 In 2020, Puerto Rican rapper Bad Bunny claimed the top spot of most streamed artist globally on SPOTIFY, with more than 8.3 billion streams (8,300,000,000) this year from fans around the globe. His album YHLQMDLGreleased in late February 2020, featuring collaborations with Sech, Anuel AA, and Daddy Yankeeis the number one streamed album as well. Calculate the profit earned using these numbers. (Hint: Use the slope intercept format to build this equation. Also, remember one unit = one thousand streams). Solve for x and thank you 1. Examine your selected object and the construction you made from 1.08. What transformations (translations, reflections, or rotations) can you find in the construction? (10 points)