Find the point-slope equation for the line that passes through the points (5, 35) and (-6, -31). Use the first point in your equation..​

Answers

Answer 1
Given ↓2 points that a line passes through

To Find ↓The point-slope equation for the line

Calculations ↓

First of all, we need to find the slope. In order to find the slope, we'll use the following formula :

[tex]\boxed{\\\begin{minipage}{2cm}slope \\ $\displaystyle\frac{y2-y1}{x2-x1}$\end{minipage}}[/tex]

[tex]\boxed{\\\begin{minipage}{2cm}$\displaystyle\frac{-31-35}{-6-5}$ \\ \end{minipage}}[/tex]

[tex]\boxed{\\\begin{minipage}{2cm}$\displaystyle\frac{-77}{-11} \\ \end{minipage}}[/tex]

Which simplifies to :

[tex]\text{Slope = 7 }[/tex]

Now that we know the slope, finding the point-slope equation is a piece of cake.

Remember Point-Slope :

[tex]\text{y - y1 = m(x-x1)}[/tex]

We're told to use the first point (5, 35) in our equation, so we'll do just that.

[tex]\LARGE\text{y - 35=7(x-5)}[/tex]

[tex]\mathsf{equation\:above}[/tex]

hope helpful ~


Related Questions

which number has a 9 with a value ten times greater than the 9 in 4 903

Answers

Answer:

49030

Step-by-step explanation:

we multiply it by ten so

4903×10=49030

Please help!! Can somebody give me a step by step answer for 3m = 531. I’ve been wanting to know how to do the questions but I don’t know how to solve them.

Answers

[tex]3m = 531 \\ divide \: both \: sides \: by \: 3 \\ \frac{3m}{3} = \frac{531}{3} \\ m = 177[/tex]

solve:
-0.4k-6=1.2

If you answer this you're a God

Answers

Answer:

The answer is k = -18

Step-by-step explanation:

This is so easy... so first you do -2k/5 - 6 = 1.2

                                                     -2k + 5(-6)/5 = 1.2

                                                      and then all that divided by 5

please help me!! i've been stuck on this question for the past few days.

Answers

Answer:

It transforms down 6.

Hi can someone please help me

Answers

Answer:

Last and second lastv

Step-by-step explanation:

According to the rational factorization.

Find two positive numbers whose difference is 27 and whose product is 874.​

Answers

46 and 19. 46 x 19 = 874 and 46 - 19 = 27

The label on the car's antifreeze container claims to protect the car between −40°C and 125°C. To covert Celsius temperature to Fahrenheit temperature, the formula is C equals five ninths times the quantity F minus thirty two.. Write a compound inequality to determine the Fahrenheit temperature range at which the antifreeze protects the car.

Answers

Answer:

see below

Step-by-step explanation:

The label on the car's antifreeze container claims to protect the car between -40°C and 125°C.

So inequality which models this situation will be -40°C < T < 125°C

Now we have to show this inequality in Fahrenheit temperature with the help of [tex]C=\frac{5}{9} (F-32)[/tex]

So the compound inequality in Fahrenheit temperature will be

[tex]-40 < \frac{5}{9} (F-32) < 125[/tex]

Which of the following options have the same value as 10 % , percent of 33?

Answers

Answer:

3.3

Step-by-step explanation:

33 x .10 = 3.3

Pablo's father is 4 years older than his mother and Pablo is a third his mother's age.
If their combined age is 74 years

Answers

Answer: 11

Explanation:

richard has two circular sprinklers to water his rectangular backyard as shown.

Answers

Answer:

109.88 ft² (nearest hundredth)

Step-by-step explanation:

Formulae

Area of a rectangle = width × lengthArea of a circle = πr²

To find the area of the lawn that is not watered, subtract the area of the 2 circles from the area of the rectangle.

From inspection of the diagram

width of rectangle = 2rlength of rectangle = 4rarea = 512 ft²

Substituting the values into the area of a rectangle formula, and solving for r:

⇒ 512 = 2r × 4r

⇒ 512 = 8r²

⇒ r² = 64

⇒ r = ±8

As distance is positive, r = 8 ft

Area of one circle = π8² = 64π  ft²

Therefore,

Area not watered = area of rectangle - 2 × area of circle

                             = 512 - 2(64π)

                             = 109.88 ft² (nearest hundredth)

Bilquis owns a small business selling used books. She knows that in the last week 49 customers paid cash, 42 customers used a debit card, and 32 customers used a credit card.
Based on these results, express the probability that the next customer will pay with a credit card as a decimal to the nearest hundredth.

Answers

The probability that the next customer will pay with a credit card will be  0.26 or 26%.

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

Bilquis owns a small business selling used books. She knows that in the last week 49 customers paid cash, 42 customers used a debit card, and 32 customers used a credit card.

Then the probability that the next customer will pay with a credit card will be

[tex]\rm P = \dfrac{32}{123}\\\\ P = 0.26[/tex]

More about the probability link is given below.

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Answer:

The answer is .26

Step-by-step explanation:

32/123

0.260162...


5. Change the following mixed numbers to improper
fractions.
a. 3 5/6
b. 2 7/8
C. 5 1/5
D. 7 1/9

Answers

a.23/6
b.23/8
c.26/5
d.64/9

The point A(5.
7) is reflected over the
What are the coordinates of point B?
point (6,
6) and its
image is point B.

Answers

The point (6, 6) is the mid-point of A and B. Then the coordinate of the point B is (7, 5).

What is coordinate geometry?

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

Point A (5, 7) is reflected over the point (6, 6) and its image is point B. Then the point (6, 6) is the mid-point of the A and B. Then the coordinate of the point B will be

[tex]\rm (x_2 , y_2) = (2x -x _1, 2y - y_1)\\\\(x_2 , y_2) = (2 \times 6 - 5, 2 \times 6- 7)\\\\(x_2 , y_2) = (12-5,12-7)\\\\(x_2 , y_2) = (7, 5)[/tex]

More about the coordinate geometry link is given below.

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Hey can somebody help me on this?

Answers

Answer: 7

Step-by-step explanation: g = 8 ( given ) g/2+3 plugging the value of g 8/2+3

8+3x2

   2

  8+6

    2

   14

    7

   = 2

Maggie takes three electives: art, Spanish, and creative writing. She calculated the mean absolute deviation of the points she earned throughout the year in each class. art: mean absolute deviation of 2.1
Spanish: mean absolute deviation of 0.8
creative writing: mean absolute deviation of 2.7
In which elective were her scores the most spread out?

Answers

Answer:

0.8 seconds sorry if im wrong

Step-by-step explanation:

13.
Hamza made 6 calls in
one day. Each call cost the
same amount of
money. The next day he made a
call that cost $4. Which expression
represents the total cost of the calls Hamza made during the two
days?

Answers

Answer:

6x +4 where x is amount for standard call

Step-by-step explanation:

Answer:

4c+6

Step-by-step explanation:

Right on my test

help me please…………..

Answers

hope this helps
answer: b
explained below
The answer is B!

Since both terms are perfect squares, factor using the difference of squares formula

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer:

[tex]\sf \sin A=\boxed{\dfrac{5}{13}}\quad\cos A=\boxed{\dfrac{12}{13}}\quad\tan A=\boxed{\dfrac{5}{12}}[/tex]

Step-by-step explanation:

Trigonometric ratios

[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]

where:

[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleH is the hypotenuse

Given:

[tex]\theta[/tex] = AO = BC = 5A = AC = 12H = AB = 13

[tex]\implies \sf \sin A=\dfrac{5}{13}\quad\cos A=\dfrac{12}{13}\quad\tan A=\dfrac{5}{12}[/tex]

Ryan invested $257 in an account paying an interest rate of 3.9% compounded weekly.
What is the equation?

Answers

Answer:

The equation is 257/x = x/3.9

Step-by-step explanation:

Find the minimum value of X²+6X-5​

Answers

Answer:

x = -3, y = -14

Step-by-step explanation:

Graph it

X=-3, Y= -14
Graph it

15 POINTS TO ANYBODY THAT SOLVE THIS EQUATION

Answers

Answer:

This is how i had my answer

Hope it helped

Answer:

r=6

Step-by-step explanation:

Find an equation of the line passing through the pair of points (3,5) and (6,11). Write the equation in the form Ax+By=C

Answers

Answer: (4,8)

Step-by-step explanation:

pls help i need an A my mom is going to get mad at me pls help i will give 62 points

Answers

Answer:

I would say the second one

Step-by-step explanation: Good luck! :)

Mill rate is the tax rate that is applied to the assessed value of a real estate property by a municipality. Your tax is calculated by multiplying the mill rate by the assessed value of a property and dividing by 1,000. If your town's mill rate is 8 and your assessed home value is $188,000, how much will your town tax bill be?

Answers

If your town's mill rate is 8 and your assessed home value is $188,000, your town tax bill will be $1504.

What will be your town tax rate?

Tax is a complusory amount levied by the government or an agency of the government on the sales of goods and services. It is a fomr of transfer of wealth to the government.

Town tax = (8 x $188,000) / 1000 = $1504

To learn more about taxes, please check: https://brainly.com/question/25311567

Please help. I need the answer

Answers

Answer:

B

Step-by-step explanation:

[tex]m-5\neq 5-m[/tex]

The others follow the rules of the commutative property of multiplication/addition.

Answer:

B

m - 5

Step-by-step explanation:

1) division

2) m - 5 . Since subtraction is not commutative

A factory makes aquariums. Each aquarium is in the shape of a triangular prism, as shown below. If the factory makes 288 aquariums, how much water will be needed to fill all of them (in cubic feet)?

Answers

Answer:

384

Step-by-step explanation:

Question 14 of 25 The image shows the location of ladders around a circular pool. 10 C 8 2 0 2 B (6y-2 85 -12 -10 0 2 Cody walks clockwise around the pool from point D to point E. How many degrees of arc does he walk? If your answer is a decimal, express your answer to the nearest hundredth. ​

Answers

The degrees of arc which Cody he walks clockwise around the pool from point D to point E is 105 degrees.

What is inscribed polygon in circle?

The inscribed polygon in a circle is the polygon of which each corner point is on the circle.

The image shows the location of ladders around a circular pool. Cody walks clockwise around the pool from point D to point E. In the given image the value of x i,

[tex]2x+8=86\\2x=86-8\\x=\dfrac{78}{2}\\x=39^o[/tex]

Thus, the angle C and angle B are the supplementary angle. Thus,

[tex]m\angle C=m\angle D\\7y-4=360-(3y-6)\\7y+3y=360+6+4\\10y=370\\y=37[/tex]

3y-6 is the inscribed angle which intercept the arc DE. Thus,

[tex]\text {arc } DE= 3y-6\\\text {arc } DE= 3(37)-6\\\text {arc } DE= 105[/tex]

Thus, the degrees of arc which Cody he walks clockwise around the pool from point D to point E is 105 degrees.

Learn more about the inscribed polygon in circle here;

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Find the equation of the tangent to the curve y = 4x³- 5x² + x - 3 at the point where it crosses the y axis.​

Answers

Answer:

y = x-3

Step-by-step explanation:

When the graph of this equation crosses the y - axis , the value of x is = 0.

 sub in zero to find this y value = -3

    so the point is (0, -3)

Now find the drivative of this equation....the derivative tells you the slope of the original graph at any given point

 derivative = 12x^2-10x+1        this , when x = 0 shows slope  = 1

    the equation then becomes   y = (1) x -3     or just  y = x-3

 See image below

Answer:

-3

Step-by-step explanation:

put x= 0

Solve and show your work for each question.
Note: Remember per the rule of 9s if you have a repeating and non-repeating component you need to handle them separately.
What is 0.47 expressed as a fraction in simplest form?
What is 0.4¯7 expressed as a fraction in simplest form?
What is 0.¯47 expressed as a fraction in simplest form?
Answer:
show work on how you did it

Answers

The computation of the figure illustrates that 0.47 expressed as a fraction in simplest form is 43/90.

How to compute the fraction?

From the information given, let a = 0.47. Now 10a = 4.777 .... equation i

100a = 47.77 ..... equation ii

Subtract equation i from ii

100a - 10a = 47 - 4

90a = 43

Divide both side by 90

90a/90 = 43/90

a = 43/90

Learn more about fractions on:

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Choose the graph that represents the equation y=x-2

Answers

Step-by-step explanation:

The choices are not given but the graph looks like the above picture.

Answer:

just use Desmos graphing calculator, it works great.

Step-by-step explanation:

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