Write the equation of the line that passes through the points (−3,9) and (1,−6).

Answers

Answer 1

Answer:

y=-3.75x-2.25

Step-by-step explanation:

Step 1: Find the slope (m) using the Slope Formula, Y2-Y1/X2-X1

(-6)-(9)/(1)-(-3) = -15/4 = -3.75

Step 2: Find the Y-intercept (b) using the Slope Intercept Formula, y=mx+b

9=-3.75*(-3)+b

9=11.25+b

b=9-11.25

b=-2.25

Step 3: Plug in your slope (m) and Y-intercept (b) values into the Slope Intercept Formula, y=mx+b

y=-3.75x-2.25

Step 4: Plug your X values into the formula, you should get your Y values after solving

y=-3.75(-3)-2.25=11.25-2.25=9 (-3, 9)

y=-3.75(1)-2.25=-3.75-2.25=-6 (1, -6)


Related Questions

A swimming pool holds 600,000 liters of water. The pool has two drainage pipes. When the pool is completely full, the first pipe alone can empty it in 200
minutes, and the second pipe alone can empty it in 120 minutes. When both pipes are draining together, how long does it take them to empty the pool?

Answers

Answer:

1 hour

Step-by-step explanation:

it's the logique
show that for all x >0​

Answers

Answer:

See below

Step-by-step explanation:

We can show that for x = 0, both sides of the inequality get the value of 1.

With x > 0, the left side goes towards - ∞ with the negative slope and the right side is always positive.

I'll give a graphical solution.

Hope this helps.

Isabella and her brother, Santiago, want to make their grandma's famous fruit salad, but they can't remember how to make the honey-lime dressing. They decide to make two versions with different amounts of sweet honey and tangy lime, then compare them. Isabella mixes 4 tablespoons of honey and 2 tablespoons of lime juice. Santiago mixes 5 tablespoons of honey and 4 tablespoons of lime juice. Whose dressing is sweeter?

Answers

Answer:

Isabella

Step-by-step explanation:

4:2, is Isabella's ratio of honey:lime.

5:4, is Santiagio's ratio of honey:lime.

Therefore, Isabella has 6 equal parts over all and 4/6 of those parts are honey.

Santiago, has 9 equal parts, so he has 5/9 parts of honey.

Next is to make the denominators the same:

That would make the denominators 54 and then you just multiply the opposite denominator to the numerator:

5/9=36/54

4/6=30/54.

This means that Isabella's dressing is sweeter.

Name the polynomial by degree and number of terms.

-6b^2- 6b - 4

a) constant monomial

b) quadratic monomial

c) quadratic trinomial

d) cubic trinomial

Answers

Answer:

c

Step-by-step explanation:

the polynomial is formed by 3 monomials and the incognit is quadratic

What is the difference between 4 and -5?

Answers

Answer:

l-5l+l4l=9

l . l means total value from zero.

help what is the answer to this'

Answers

Answer:

Your answer is  x [tex]\geq[/tex] 77

Step-by-step explanation:

[tex]\frac{x}{7} \geq 8+3[/tex]

[tex]\frac{x}{7} \geq 11[/tex]

[tex]\frac{x}{7 } * 7 \geq 11*7[/tex]

[tex]x \geq 77[/tex]

Hope this helps!

Whats This Questions Answer Answer It Cuz I Have math Exam After 3Days

Answers

Answer:

bde=30 degrees

Step-by-step explanation:

angle abc = 50 degrees

50+100=150

180-150=30degrees

Enrollment at a golf academy has grown exponentially since the academy opened. A graph depicting this growth is shown. Determine the percentage rate of growth.An exponential graph has Time in Years on the x-axis and Enrollments on the y axis. A curve that rises from left to right begins at zero comma fifteen and passes through four comma seventy-five.a. 1.5%b. 5%c. 50%d. 0.5%

Answers

Applying the points given, it is found that the growth rate of the exponential function is:

c. 50%

An exponential function has the following format:

[tex]y = a(1 + r)^x[/tex]

In which:

a is the initial value, that is, the value of y when x = 0.r is the growth rate, as a decimal.

In this problem:

The curve begins at (0,15), thus a = 15.It passes through (4, 75), which means that when [tex]x = 4, y = 75[/tex], and this is used to find r.

[tex]y = a(1 + r)^x[/tex]

[tex]75 = 15(1 + r)^4[/tex]

[tex](1 + r)^4 = 5[/tex]

[tex]\sqrt[4]{(1 + r)^4} = \sqrt[4]{5}[/tex]

[tex]1 + r = 1.4953[/tex]

[tex]r = 1.4953 - 1[/tex]

[tex]r = 0.4953[/tex]

Thus, approximately 50%, option c.

A similar problem is given at https://brainly.com/question/23416643

Answer:

50% is the correct answer

Step-by-step explanation:

I took the test.

Show that 0.616 = 37/60

Answers

Answer:

77/125 = 37/60?

If this is a true or false problem it would be marked false.

The function f(x)= 3x + x2 + 2x rises as x grows very small. As x goes to negative
infinity, f(x) goes to infinity.
True
False

Answers

Answer:

.

Step-by-step explanation:

3x + x^2 + 2x

= x^2 + 5x

As x goes to negative infinity,

x^2 is always positive and will be higher than  5x as x  increases so

f(x) goes to infinity

(2,4) is perpendicular to y:2x

Answers

Answer:

is a Step-by-step explanation:

combination

A selection in which order has no importance.A mathematical symbol, or combination of symbols, representing a value, or relation. Example:

2

+

2

=

4

.equation

A mathematical statement that says two expressions have the same value; any number sentence with an

=

.

ordered pair

Set of two numbers in which the order has an agreed-upon meaning, such as the Cartesian coordinates

(

x

,

y

)

, where the first coordinate represents the horizontal position, and the second coordinate represents the vertical position.

solution

1. The value of a variable that makes an equation true.

2. In chemistry, a solution is a homogeneous mixture composed of only one phase.

Pls help me with this question!!!

Answers

Answer: $2/child and $4/adult

Step-by-step explanation:

The total fare is $14 for 2 adults and 3 children

x is the child's fare

y is the adults fare

We can say:

1)  3x + 2y = $14

2)  We are told that x = (1/2)y  [each child's fare is 1/2 each adult's fare]

3) use (2) in (1)

  3x + 2y = $14

  3(1/2)y + 2y = $14

 (3/2)y + 2y = $14

  (7/2)y = $14

  y = ($14)*(2/7)

  y = $4/adult

   x = (1/2)y; x = (1/2)(4)

   x = $2/child

Check:  Does 3x + 2y = $14 when x = $2/child and y = $4/adult?

    3x + 2y = $14

    3($2/child) + 2($4/adult) = $14

      $6   +   $8 = $14   YES

For every 10 tickets to a horror movie that a popular movie theater sells, they sell 9 tickets to a comedy movie. If they sold 5 more horror movie tickets in one night, how many tickets to both movies did they sell altogether?

Answers

They sold 14 tickets all together

You add a number to (–3) and the sum is negative. List four possible numbers you
might have added and four you could not have added.

Answers

Answer:

Four possible numbers

-4

-32

-2

-10

Four numbers that are not possible

100

120

20

10

Step-by-step explanation:

I choose the 4 possible numbers because if you add a negative to a negative, the answer will always be a negative. However if you added a positive like 100 to -3, the answer wouldn't be negative so that's why I chose those numbers.

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

What is the answer to (66*47)+(85*68)=t?
?

Answers

Answer:3102+5780=8882

Step-by-step explanation:

What is the distance between W(3, 1) and X(-2,-5)? Round to the nearest tenth.
10

A. 61.0
B. 3.3
C. 2.2
D. 7.8

Answers

Answer:

D. 7.8

Step-by-step explanation:

Distance formula: [tex]\sqrt{(x_{2} - x_{1})^2 +( y_{2} - y_{1})^2 }[/tex]

Substituting          (-2 - 3)² + (-5 - 1)²

           Distance = [tex]\sqrt{(-5)^2 + (-6)^2}[/tex]

Distance = [tex]\sqrt{25 + 36}[/tex]

Distance = 7.8

Enter your answer and show all the steps that you use to solve this problem in the space provided.

Combine like terms. What is a simpler form of the expression?
−3(−4y+3)+7y
help pls

Answers

Answer:

19y - 9

Step-by-step explanation:

- 3(- 4y + 3) + 7y ← multiply each term in the parenthesis by - 3

= 12y - 9 + 7y ← collect like terms

= 19y - 9

Max is conducting a study on the most used phone applications among a group of 500 students at Fairmont High School. 150 students reported using Snapshot most, while 200 students reported favoring Instapic. The rest of the students reported using Photobooth. What is the ratio of the number of students using Photobooth to those students using Instapic?

Answers

Answer:200:150

Step-by-step explanation:

Answer: 3:4

Step-by-step explanation:

Choice B is the correct answer. The number of students using Photobooth is equal to

500 - (150+200) = 150

people. To find the ratio of students using Photobooth to those using Instapic:

150/200 = 3/4

This fraction can be converted to a ratio, of 3:4

Solve the equation for the y–value and choose whether it is a direct variation or inverse variation

-4x + y = 0

Answers

Answer: Choice C

y = 4x

Direct variation

=====================================================

Explanation:

We add 4x to both sides to isolate y. That leads to y = 4x

This is a direct variation equation because it's in the form y = kx, for some constant k.

1/4÷3/8 i need helpp tyy

Answers

8/12 is your answer hope i could help

What is 500 miles decreased by 20%?

Answers

Answer:

400

Step-by-step explanation:

Percentage decrease = 20% × 500

New value = 500 - Percentage decrease

500 - (20% × 500) =

500 - 20% × 500 =

(1 - 20%) × 500 =

(100% - 20%) × 500 =

80% × 500 =

80 ÷ 100 × 500 =

80 × 500 ÷ 100 =

40,000 ÷ 100 =

400

When would the tail of a comet appear to become longer?(1 point)

as it gets farther from Earth

as it gets closer to Earth

as it gets closer to the sun

as it gets farther from the sun

Answers

Answer:

As it gets closer to the sun

Step-by-step explanation:

just trust me

The tail of comet will appear to become longer : (c) as it gets closer to sun.

The tail of a comet becomes longer and more pronounced as it gets closer to sun. Comets are made up of ice, dust, and volatile gases. As a comet approaches the sun, the sun's heat causes the ices within the comet to vaporize, creating a glowing coma (a cloud of gas and dust) around the nucleus.

The solar wind and radiation pressure then push the gas and dust particles away from the coma, forming the tail that points away from the sun due to the solar wind's influence. This tail becomes more visible and elongated as the comet gets closer to the sun, making it a sight in night sky.

Therefore, the correct option is (c).

Learn more about Comet here

https://brainly.com/question/29913698

#SPJ3

The given question is incomplete, the complete question is

When would the tail of a comet appear to become longer?

(a) as it gets farther from Earth

(b) as it gets closer to Earth

(c) as it gets closer to the sun

(d) as it gets farther from the sun

Please solve.. I will mark you brainliest

Answers

Step-by-step explanation:

6y=3y+6(congruent triangles)

6y-3y=6

3y = 6

y=2

ST =6(2) =12

TU = 3(2) + 6 =12

8. The month of July has 31 days. What is the greatest
possible number of Saturdays that can occur in July?
+

Answers

Answer:

We know that one Saturday comes in a week there are 7 days in a week and there are 4 weeks in a month so in 7×4=28 days four Saturdays will come ,

But since July has 31 days so there is a possibility of 5 Saturdays as in the rest 2 days one can be Saturday. so theres a possibility of 5 Saturdays

What is the integral of 2x?

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Integral of 2x is :

[tex]{x}^{2} + c[/tex]

Answer the question as soon as possible

Answers

Answer:

D. Distributive

Step-by-step explanation:

This is:

a(b + c) = ab + ac  - Distributive property

Correct choice is D

8 T and 733 lbs = ? lb




HELP ME PLEASEEEEE

Answers

Answer:

16,733 lbs

Step-by-step explanation:

1 ton= 2,000 lbs. Hope this helps!

Hi pls help me ILL GIVE BRAINLIEST TO WHO ANSWERS CORRECTLY

Answers

Answer:

Linear pair

Step-by-step explanation:

∠6 and ∠7 are linear pair angles.

Identify the figure that illustrates "a reflection in line k."

Answers

it’s seems to be the first one on the left!

2-h=6-k - solve for k

help please

Answers

Answer:

k=4+h

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