Find the equation of the line between the points (10, – 5) and ( - 2,0).

Answers

Answer 1

Answer (assuming it can be in slope-intercept form):

[tex]y = -\frac{5}{12} x-\frac{5}{6}[/tex]  

Step-by-step explanation:

1) First, find the slope of the line between the two points by using the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of the given points into the formula and solve:

[tex]m = \frac{(0)-(-5)}{(-2)-(10)} \\m = \frac{0+5}{-2-10} \\m=\frac{5}{-12}[/tex]

Thus, the slope of the line is [tex]-\frac{5}{12}[/tex].

2) Next, use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to write the equation of the line in point-slope form. Substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] in the formula.

Since [tex]m[/tex] represents the slope, substitute [tex]-\frac{5}{12}[/tex] in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line intersects, choose any of the given points (it doesn't matter which one, it will equal the same thing) and substitute its x and y values into the formula as well. (I chose (-2,0), as seen below.) Then, isolate y and expand the right side in the resulting equation to find the equation of the line in slope-intercept form:

[tex]y-(0)=-\frac{5}{12} (x-(-2))\\y-0 = -\frac{5}{12} (x+2)\\y = -\frac{5}{12} x-\frac{5}{6}[/tex]


Related Questions

HELP PLEASE!!
Which of the following equations is true to find the length BC?

Answers

Answer:

BC/sin 23 = 10/sin 47

Step-by-step explanation:

Here, we want to select the true equation to find the length BC

From the question, we have the angle facing side BC; also, we have the angle and the side facing it for another side

In this situation, the best way to solve for BC is by the use of the sine rule

The sine rule states that the ratio of the length of a side and the sine of the angle facing the side is constant for a given triangle

Thus, we have it that;

BC/sin 23 = 10/sin 47

1/4 equals Z /20 what does z equal

Answers

Answer:

5

Step-by-step explanation:

(2) Mai walked 1/8 of a 30-mile walking trail. How many miles did Mai walk? Explain or show your reasoning. *​

Answers

Answer: 3.75 miles

Step-by-step explanation:

Divide 30 by 8. 30/8= 3.75. If she walked 1/8 then she walked 3.75 miles

A. g(x) = 4x2
B.
g(x)=2x2
(4)
D. g(x)=2x2
C. g(x)=
O

Answers

Answer:

It should be D on the photo

A train travels 1 kilometre in 1 minute 20 seconds. Picture of steam train Question prompt At this rate, how many kilometres will the train travel in 1 hour?

Answers

Answer:

45km

Step-by-step explanation:

Distance covered in 1min 20sec (80sec) = 1km

Distance covered in 1 min (60sec) = 1km/80sec

Distance covered in 1Hr (3600sec) = (1/80)*3600 = 45km.

Tavon has a gift card for $80 that loses $3.50 for each 30-day period it is not used. He has another gift card for $70 that loses $3 for each 30 day period it is not
used
aWrite and solve an equation for the number of 30-day periods until the value of the gift cards will be equal
b. What will the value of each card be when they have equal value?
a. If x is the number of 30-day periods, then the equation can be used to find the number of 30 day periods until the values of the gift cards will be equal.
(Type an equation. Use integers or decimals for any numbers in the equation.)

Answers

Answer:

(a). 20 ; (b). $10.00 ;

Step-by-step explanation:

(a). 70 - 3x = 80 - 3.50x

- 3x + 3.50x = 80 - 70

0.5x = 10

x = 10 ÷ 0.5

x = 20 ( 30-day periods )

(b). $70.00 - $3.00(20) = $10.00

The number of days will be 20 days. Then the values of the gift cards will be equal and will be $10.

What is the solution to the equation?

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Tavon has a gift card for $80 that loses $3.50 for each 30-day period it is not used. He has another gift card for $70 that loses $3 for each 30 days period it is not used.

Let y be the amount left of gift cards after x days and x be the number of days. Then the equation will be

y = 80 - 3.5x          ...1

y = 70 - 3x             ...2

From equations 1 and 2, we have

80 - 3.5x = 70 - 3x

0.5x = 10

x = 10 / 0.5

x = 20 days

The values of the gift cards will be equal and will be

y = 80 - 3.5(20)

y = 80 - 70

y = $10

The values of the gift cards will be equal and will be $10.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

Please help there is no word problem.
5 − a + 4a =

Answers

collect like terms
5-a+4a
=5+3a


[tex] \frac{?}{32} = \frac{25}{100} [/tex]
fill in the blank​

Answers

32x25 = 800/100 = 8.
8 is your answer.

60 in
63 in
What is the length of the hypotenuse?
inches
Submit

Answers

Answer:

assuming 60 and 63 are the side lengths

87 in is the hypotenuse

Step-by-step explanation:

60^2 + 63^2 = x^2

Help!
Evaluate the logarithmic function for the given value.
f(x) = log3 x for f(243)
f(243) =
M

Answers

Answer:

5

Hope it helps

Please mark me as the brainliest

Thank you

solvex

(3 x - 9)(3x - 1) = 0

Answers

Answer:

(3x-9)(3x-1)=0

3x-9=0

3x= 9

x=9/3

x= 3

OR

3x-1=0

3x=1

x=1/3

. Graham bought 45 bags of potatoes. Each bag weighed exactly 4pounds.How many pounds of potatoes did he buy?

Answers

multiply 45 by 4
=180 pounds of potatoes

URGENT !!!!!!!!! Please answer correctly !!!!! Will be marking Brianliest !!!!!!!!!!!!!!!!

Answers

6 of the squares/tiles

I HAVE 3 MINUTES LEFT!!!! URGENT PLSSSSSSSSSSSS HELPPPPPPPPPPPPPPPPPPPPP
Macy described four triangles as shown below:

Triangle A: All angles measure 60°.

Triangle B: All sides have length 6 cm.

Triangle C: Two sides have length 6 cm, and the included angle measures 60°.

Triangle D: Base has length 6 cm, and base angles measure 50°.

Which triangle is not a unique triangle? (1 point)

Answers

Step-by-step explanation:

triangle c two sides measure length 6cm

What is the probability of rolling a 3 on a 6-sided number cube and then NOT rolling a 3 on a 6-sided number cube?
36

Answers

Do determine the probability of two events occurring in sequence, multiply the probability of each event against the other.

There's a 1 in 6 chance of rolling a 3 on a 6-sided number cube; there's a 5 in 6 chance of rolling not-a-3 on a 6-sided number cube; thus, the chance of rolling a 3 that is immediately followed by a not-3 is:

(1/6) times (5/6) = (5/36)

Much saved $6 on a $40 pair of pants

Answers

Is there supposed to be a question or ru just talkin abt ur day?

Answer:

SHEEESH? MIND IF U SHARE?

Step-by-step explanation:

Shrings dining room table is round and has a radius of 4.5 feet. What is the tabletops area? Plz

Answers

Answer:

The answer should be 63.63! you might need to round it to 63.6 or 64

Step-by-step explanation:

Write a function, (), which has a maximum and a y-intercept of −3.
PLEASE HELP WILL GIVE BRAINLIEST

Answers

Answer:

Step-by-step explanation:

The graph of a quadratic function is a U-shaped curve called a parabola. One important feature of the graph is that it has an extreme point, called the vertex. If the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function. If the parabola opens down, the vertex represents the highest point on the graph, or the maximum value. In either case, the vertex is a turning point on the graph. The graph is also symmetric with a vertical line drawn through the vertex, called the axis of symmetry. These features are illustrated in (Figure).

Graph of a parabola showing where the x and y intercepts, vertex, and axis of symmetry are.  

The y-intercept is the point at which the parabola crosses the y-axis. The x-intercepts are the points at which the parabola crosses the x-axis. If they exist, the x-intercepts represent the zeros, or roots, of the quadratic function, the values of x

at which

y = 0  

Use the graph below to solve the equation. (Find the solutions or the roots)

Answers

Answer: I see a dot so -2,-2?

Step-by-step explanation:

The ratio of marbles to stones in a large pot is 6 to 7. If there are 42 marbles, then how many stones are there?

Answers

Answer:

49 stones

Step-by-step explanation:

Write the following proportion based on the given ratio of marbles (m) to stones (s), and naming the unknown number of stones to find, with the letter "X":

6 m / 7 s = 42 m / X s

cross multiply to get the unknown in the numerator:

6 * X = 42 * 7

divide both sides by 6 to isolate X entirely on the left of the equal sign

X = ( 42 * 7 ) / 6

X = 49

Therefore, there are 49 stones

aques saw socks that cost 3.70 with a sales tax of 8%. What is the total cost of the socks? Justify

Answers

Answer:

3.996

Step-by-step explanation:

Sponsoring a donkey costs £2 a month. Which calculation will help Beth work out how many years she can sponsor a donkey for with £80. A) 80-2 X 12 B) 80/2 X 12 C) 80/12 ÷ 2. D) 12 X 2 ÷ 80​

Answers

Answer:

B

80/2×12 becouse one year it costs 12×2 since its 12 months .

Help if you see a troll report them

Answers

Answer:

I've seen multiples of trolling going on in brainly, and i could barely report them all.

Step-by-step explanation:

Which of the following is a skill?
A. Hearing
B. Reading
O
C. Talking
O D. Sitting

Answers

Answer:

B. Reading

The rest of the options are not skills

Answer:

B

Step-by-step explanation:

B: Reading is a skill

Are born with the ability to hear talk and sit, but all of us can't read when your born. you have to learn the skill. And if you are born with the ability to read, uhhh your weird, lol

Hope that helps :)

Evaluate f(a+2)for f(x)=x^2-9

Answers

Answer:

a^2 + 4a -5

Step-by-step explanation:

(a+2)^2-9

((a+2)^2) - (9)

a^2+4a+4-9

a^2 + 4a -5

how many solutions does the system have ?
( y=3x + 2
( y=3x + 6

Answers

Answer:

52 when we evaluate it understand

write the equation in slope intercept form from the information given
slope=2/7 y-intercept=0

Answers

Answer:

y = 2/7x  

Step-by-step explanation:

If you spent 58 minutes doing English homework and 47 minutes doing math homework how much more time did you need to spend doing English homework?

Answers

Answer:

58 minutes

Step-by-step explanation:

Please brainliest me

There are 11 minutes more time to spend doing English homework.

What is mean by Subtraction?

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

If you spent 58 minutes doing English homework and 47 minutes doing math homework.

Now,

Since, The time for doing English homework = 58 minutes

And, The time for doing Math homework = 47 minutes

So, The time more to spend doing English homework = 58 - 47

                                                                                   = 11 minutes

Thus, There are 11 minutes more time to spend doing English homework.

Learn more about the subtraction visit:

https://brainly.com/question/28467694

#SPJ5

1. Find the next three in the sequence. 2,7,12,17

2. find the formula for the nth term.​

Please show the working

Answers

Answer:

the next three terms are 2,7,12,17,22,27,32

have a nice day

Answer:

n + 5

Step-by-step explanation:

n+5

2,7,12,17,22,27,32

A store wants to display 45 boxes of plates. Each shelf can fit 6 boxes of plates. The store will display as many boxes on each shelf as possible.

How many shelves does the store need to display all the boxes?

Answers

OKAY I THINK ITS 9 I THINK BC 45 DIVIDED BY 6 ????

Answer: 7

Step-by-step explanation: because 45 divided by 6 is 7.5

Other Questions
What would happen if teachers and studentsswitched places? A rocket sled accelerates forward from 10 m/s to 50 m/s in 2 seconds. What is the acceleration of the sled? What is the relationship between the Age of Discovery and Christianity?A. Christianity was the hrat to lead the way in protesting the slavetrade created by England,B. The Age of Discovery allowed people to be exposed to otherreligions, thus decreasing the power of Christianity,C. The Age of Discovery saw an increase in ocean travel, whichallowed churches to send representatives to distant lands tospread ChristianityD. Christianity saw an increase in the number of people attendingchurches due to their fear of foreign peoples what is law of cosines PLEASE HURRY I WILL GIVE BRAINLIST AND 200 POINTS You and your family were on a ship when you were hit by a storm. Fortunately, you wereable to return to the coast unhurt. Write an email to your cousin, describing what happened.In your email youshould:explain what you were doing when the storm blew updescribe how people reactedexplain how you felt afterwards.Write 150-200 words. HELP I WILL GIVE YOU BRAINLIST!!!Pick one substance (ex: water and table salt) and compare two of the atoms connected to each other (ex: H and O, Na and Cl) and answer the following questions for each pair:1)Are they close or far away from each other on the periodic table?Do they have similar atomic radii?2)Do they have a large or small difference in ionization energy? What about for electron affinity? Which diagram most accurately explains changes in media over time? WILL GIVE BRANLYEST PLS HELP(IF CORRECT )Which sentence contains a conjunction?Rachels sister begged their parents to let them have pet ferrets.Rachel convinced her sister to beg for a parakeet instead.Rachel liked watching ferrets, but she didnt like how they smelled.Rachels parents decided to welcome a pet into their family. In Chapter 16, a tornado directly hits Brians shelter and Brian is left with nothing but the hatchet. How does Brian respond to this setback?(HATCHET) Determine the volume of the entire Charter School.11 points Round : 9198.10666667to the nearest hundredth Distinctions between environmental possibilism, environmental determinism and environmental probabilism The structure labeled A in figure 10-3 is called the? also can someone help with 16 PLEASE !! HELP WHAT PERCENT IS THE SALES TAX???? SOS PLEASE HELP write the equation for this line OMG PLEASEEEE HELPPPPPPPPPPP!!!!!!!!!!! A new store is handing out small gifts to the customers who come in. Elizabeth is handing out pens of various colors. She has determined that the chance of a customer receiving a blue pen is 0.008. Ricardo is handing out tote bags of various colors He has determined that the chance of a customer receiving a blue tote bag is 0.04. What statement describes the likelihood of a customer getting a blue tote bag or blue pen? What is a VERTEX? *Where the parabola crosses the X-axisWhere the parabola crosses the Y-axisWhere the parabola changes directionThe invisible line that cuts the parabola in half Which of the following BEST describes what DNA looks like? 5. What is characteristic of an opaque object.