Write the equation of a line in the given form.
The line through (4,-4) and (0,-5) in SLOPE INTERCEPT form

Answers

Answer 1

Answer:

[tex]y = \frac{1}{4}x - 5[/tex]

Step-by-step explanation:

Slope intercept form: y = mx + b

Find slope:

m = (y₂ - y₁) / (x₂ - x₁)

   = (-5 - (-4)) / (0 - 4)

   = -1 / -4

   = 1/4

Find y intercept using anyone of the given points and slope from above:

y = mx + b

[tex]-5 = \frac{1}{4}(0) + b[/tex]

b = -5

Now use the above slope and y intercept to create equation of a line:

[tex]y = \frac{1}{4}x - 5[/tex]


Related Questions

10.The volume V of a given mass of gas varies inversely as the pressure P. When V =2m3 ,P=500 N/m2 .Find the volume when the pressure is 400N/m2 Find the pressure when the volume is 5 m3

Answers

Answer:

[tex]2.5\; \rm m^3[/tex].

Step-by-step explanation:

Let [tex]V_1[/tex] and [tex]P_1[/tex] denote the volume and pressure of this gas before the change. Let [tex]V_2[/tex] and [tex]P_2[/tex]denote the pressure of this gas after the change.

The ratio between the volume of this gas before and after the change would thus be [tex]\displaystyle \frac{V_1}{V_2}[/tex].

The ratio between the pressure of this gas before and after this change would be [tex]\displaystyle \frac{P_1}{P_2}[/tex].

Because the volume of a given mass of (ideal) gas varies inversely with pressure, these two ratios should be reciprocal of each other. That is:

[tex]\displaystyle \frac{V_1}{V_2} = \frac{1}{\displaystyle \displaystyle \left(\frac{P_1}{P_2}\right)}[/tex].

In other words:

[tex]\displaystyle \frac{V_1}{V_2} = \frac{P_2}{P_1}[/tex].

Rearrange and solve for [tex]V_2[/tex], the volume of this gas after the change:

[tex]\displaystyle V_1 = V_2\cdot \left(\frac{P_2}{P_1}\right)[/tex].

[tex]V_2 = \displaystyle V_1 \cdot \left(\frac{P_1}{P_2}\right)[/tex].

From the question:

Volume of this gas before the change: [tex]V_1 = 2\; \rm m^3[/tex].Pressure of this gas before the change: [tex]P_1 = 500\; \rm N \cdot m^{-2}[/tex].Pressure of this gas after the change: [tex]P_2 = 400\; \rm N \cdot m^{-2}[/tex].

Solve for [tex]V_2[/tex]:

[tex]\begin{aligned} V_2 &= V_1 \cdot \left(\frac{P_1}{P_2}\right) \\ &= 2\; \rm m^3 \times \frac{500\; \rm N \cdot m^{-2}}{400\; \rm N \cdot m^{-2}} = 2.5\; \rm m^3\end{aligned}[/tex].

A gym was advertised to cost $23 a month with a one-time fee of $74. If the total
bill was $373, how many months was paid for? *
Your answer

Answers

Answer:

Step-by-step explanation:

$373 - $74 = $299

299 divided by 23 = 13

13 months (?)

A fruit company includes 1.655 ounces of pineapple juice in a 6.75 ounce bottle of a mixed fruit juice. How much of the bottle of mixed fruit juice is NOT pineapple juice?

Answers

5.095 ounces or, if you're looking for a percentage, then 75.48% (I don't know where you need it rounded to). To get the ounces, subtract the ounces of pineapple juice from the total ounces of fruit juice. To get the percentage, divide 5.095 by 6.75, then multiply by 100.

The Parker family went to the carnival. When everyone was ready for lunch, Dad bought 4 drinks for $3.25 and 4 hot dog plates with chips for $8.00. He also used a coupon for $2.00 off the price of lunch. How much did Dad pay for lunch altogether?

Answers

The answer is $43.00.

Explanation: Dad bought 4 drinks that cost 3.25 = 13.
Dad bought 4 hot dogs with chips for $8.00 = $32.00
Plus 32.00 + 13.00 = $45.00 - $2.00= $43.00

*How far can a train travel in 45 minutes if it is traveling at 80 miles per hour.

Answers

Answer:

60 miles

Step-by-step explanation:

distance = speed x time

45 minutes = 0.75 hours

0.75 x 80 = 60

What is equivalent to 64^(1/2)
Exponential Functions Algebra 1

Answers

[tex]64^{\frac{1}{2}}=\sqrt{64}=\sqrt{8^2}=8[/tex].

Hope this helps.

Answer:8

Step-by-step explanation: first you have to see what the base number is in this case the base number is 64 so you see that it 64 and then you you divide 1 by 2 then you divide        or you can just put it into the calculator


A climber started at 2,580 feet above sea level. He climbed up 348 feet, down a valley 452 feet, and up 108 feet. What is his new elevation?

Answers

Answer:

2,584

Step-by-step explanation:

You just add or subtract the numbers if hes going up or down.

PLEASE HELP WILL GIVE BRAINLIEST 15 POINTS!!!!
I AM ACTUALLY IN MIDDLE SCHOOL I NEEDS HELP!!

Frances has $24.06 in her checking account. She writes a check for $32.16. The ban imposes a $15 penalty because she has overdrawn her account. How much money is in her account now? Write and simplify a numerical expression.

Answers

Answer:  -$23.10 dollars in Frances bank account.

Step-by-step explanation:

Answer:

--$23.10

This is the answer, I double checked.

Is (4, 3) a solution to x + y = 7

Answers

Answer:

Yes

Step-by-step explanation:

(x, y)

(4, 3)

x = 4

y = 3

Therefore

4 + 3 = 7

karinne hit 4 more home runs than 1/2 the number of home runs Lu hit. Together they hit 10 home runs. Let X represent the number of home runs Lu hit. Write an equation to represent the situation ​

Answers

It is given that Lu hit x numbers of home run.

So, number of home run hit by Karinne is  more home runs than 1/2 the number of home runs Lu hit.

So, number of home run Karinne hit is :

[tex]y = 4 + 0.5x[/tex]

Also,

[tex]x + y = 10[/tex]

Solving above two equation, we get :

x + ( 4 + 0.5x ) = 10

1.5x + 4 = 10

1.5x = 6

x = 4

Therefore, number of home run hit by Lu is 4.

Hence, this is the required solution.

Creating a mathematical expression using the scenario described, the expression which represents the total number of home runs is 1.5x + 4 = 10

Total Number of home runs :

(1/2)x + 4 + x = 10

1.5x + 4 = 10

1.5x = 10 - 4

1.5x = 6

x = 6/1.5

x = 4

Therefore, the equation which represents the situation is 1.5x + 4 = 10

Learn more : https://brainly.com/question/18796573

1/3 + 5 3/4 pls I rlly need help

Answers

Answer:

6 1/12

Step-by-step explanation:

Make 1/3 and 3/4 have the same denominator.

1/3 times 4/4 is 4/12

3/4 times 3/3 is 9/12

4/12 + 9/12 = 13/12 = 1 1/12

1 1/12 +5 = 6 1/12

6.08333333333333333333333333333333333333333333

5x = 45
O Commutative Property
O Associative Property
O
Distributive Property
Subtraction Property of Equality
O
Division Property of Equality

Answers

Division Property of Equality

Anybody know the answer to this?

Answers

Answer:

[tex]12a^2-3a+\frac{33}{4}[/tex]

Step-by-step explanation:

feel free to put brainist

What is the solution for the equation 6x − 8 = 4x? x = . (Input whole number only). (5 points) Blank 1:

Answers

Answer:

4

Step-by-step explanation:

Step 1:

6x - 8 = 4x        Equation

Step 2:

6x = 4x + 8        Add 8 on both sides

Step 3:

2x = 8     Subtract 4x on both sides

Step 4:

x = 8 ÷ 2      Divide

Answer:

x = 4

Hope This Helps :)

Please help been stuck on this for a hour

Answers

Answer:

1 mile every 57 seconds I belive

Step-by-step explanation:

What is the image point of (-2, -3) after a translation right 2 units and up 4 units?

Answers

Answer:

The Answer is (0, 1)

Step-by-step explanation:

add 2 and 4 to the x and y

Answer:

(0, 1)

Step-by-step explanation:

2 units right -> -2 + 2 = 0

4 units up -> -3 + 4 = 1

an ablum recieve an award when it sells 10,000,000 copies. An ablum has sold 7,680,000 copies. How many more copies does it need to sell to recieve the award

Answers

Answer:

2,320,000

Step-by-step explanation:

10,000,000

                   -

7,680,000

__________

2,320,000

Answer:

2,320,000

Step-by-step explanation:

You have to subtract the 10,000,000 by the amount that has already been sold in order to find out the difference on how many copies are left in order to receive an award.  

10,000,000 - 7,680,000 = 2,320,000

Find the common ratio of the geometric sequence 18,-90,450,...

Answers

Answer:

try looking it up on socratic

Answer:

-5

Step-by-step explanation:

The common ratio is what you have to multiply one term by to get the next term.

so:

[tex]18 \times r = -90\\-90 \times r = 450[/tex]

where r is the common ratio

We can solve these equations:

-90 / 18 = -5

450/-90 = -5

therefore the common ratio is -5

the cost of the t shirts in dollars is given by the equation c=9.5t, where c is the total cost of the t-shirts and t is the number of t-shirts . If sanjay bought 14 t shirts , how much did he pay?

Answers

9514 1404 393

Answer:

  $133

Step-by-step explanation:

Put 14 where t is in the formula and do the arithmetic.

  c = -9.5×14

  c = 133 . . . . cost in dollars

Sanjay paid $133 for the 14 t-shirts he bought.

Find two numbers if their ratio is 9:11 and their difference is 6

Answers

Answer:

27 , 33

Step-by-step explanation:

Let the numbers be 9x & 11x

so

11x-9x=6

2x=6

x=3

First number is =9x=9*3=27

Second number is =11x=11*3=33

plz mark as brainliest if it helps

Answer:

27 and 33

Step-by-step explanation:

Here I would set up a system of equations:

1. I make the proportion 9/11=x/y and this cross-multiplies into 9y=11x

2. I use the other part of the problem to make my second equation, and since y is greater than x (assumed by looking at first step) this second equation is y-x=6

3. now, I will use substitution, if y-x=6, then y=x+6, so 9(x+6)=11x

4. simplify, 9x+54=11x

5. solve, 2x=54, x=27, y=x+6=33

According to a certain country’s department of education, 40.0% of 3-year-olds are enrolled in day care.

What is the probability that a randomly selected 3-year-old is enrolled in day care?

Answers

Given parameters:

Percentage of enrollment of 3-year-olds = 40%

Unknown:

Probability that a randomly selected 3-year-old is enrolled in a day care = ?

Probability is the likelihood of an event to occur.

   Probability  = [tex]\frac{Possible outcome}{Total out come}[/tex]

In this problem, 40% of the total number of 3-year-olds are enrolled in a day care.

  We can say, out of every 100 3-year-olds, 40 of them will enroll in day care.

The possible enrollment is 40 and the total is 100;

Input the parameters and solve;

      Probability  = [tex]\frac{40}{100}[/tex]   = [tex]\frac{2}{5}[/tex]

The probability that any randomly selected 3 year old is enrolled in day care is [tex]\frac{2}{5}[/tex]

please help me asap (picture is included) (:

Answers

Answer:

d

Step-by-step explanation:

C) -17
11+x= -2 x 3
11+x=-6
x=-6-11
x=-17

NOBODYS HELPING ME ANSWER THIS AND I NEED AN ANSWER ASAP :((( IVE ASKED 2 TIMES ANYWAYS ILL GIVE BRAINLIEST AND 15+

ITS 2 QUESTIONS SEPERATE PLEASE PUT IT AS THIS

QUESTION 1-
______________
QUESTION 2-
______________ m

Answers

Answer:

1) 2/3

2) y= 2x+4

Step-by-step explanation:

For number one, use the formula [tex]\frac{(y_{2}-y_{1} ) }{(x_{2}-x_{1} ) }[/tex].

Insert the given coordinates into the formula.

7-1/10-1= 6/9

Simplify 6/9.

6/9÷3= 2/3

For the second one, I used desmos calculator.

Hope this helps! :)

Which lists all the multiples of 8 that are less than 50?

A. 2, 4, 8
B. 4, 8, 12, 16, 24, 32, 40, 48
C. 8, 16, 24, 32, 40, 48
D. 8, 16, 24, 32, 40, 48, 56

Answers

Answer:

Its the third one 8, 16, 24, 32, 40, 48

Step-by-step explanation:

They all are multiples of 8 and are not more than 50

plz help i mark as brainlest!

Answers

Answer:

d

Step-by-step explanation:

Helpp me PlzzzzzZZzz

Answers

Answer: B. Distributive Property

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Distributive Property  

what is the slope of the line

Answers

Answer:

The slope is -1/1 or just -1.

(When you need to plot the slope, you use -1/1 to use the strategy Rise/Run or Rise over Run.

If you look at the point (-3,1) From that point, you go down -1 and you run to the side for a positive 1.

Once you do that you'll land at (-2,0) and you can keep on repeating this and you'll see that it lands on the points on the line.

Hope this helps! Please feel free to ask any questions if needed! :)

WILL GIVE BRAINLIEST!! What is the y-intercept of a line that has a slope of 3 and passes through point (4, 8)?

Answers

Answer:

-4

Step-by-step explanation:

If we set up the equation with the known info, we get y=3x+b

We can then use the ordered pair to plug in, so 8=12+b

Now, simply solve for B, and you get -4

If
3y + 1
2
= 5,
4x
3
= 8
and
z
3
+
z
4
= 2


A. y > x B. x = y C. y > z D. x > z

Answers

Step-by-step explanation:

hey, write the question properly...

If the equation are 3y + 12= 5,4x - 3= 8 and z³ + z⁴ = 2, then x = y

Let's start by solving each equation one by one to find the values of the variables.

Equation 1: 3y + 12 = 5

Subtracting 12 from both sides:

3y = 5 - 12

3y = -7

Dividing both sides by 3:

y = -7/3

Equation 2: 4x - 3 = 8

Adding 3 to both sides:

4x = 8 + 3

4x = 11

Dividing both sides by 4:

x = 11/4

Equation 3: z³ + z⁴

This equation is a bit more complex, and it seems challenging to find the exact values of z. However, we can deduce some information about the relationship between z³  and z⁴ by examining the equation. Since both terms are positive, the sum of z³  and z⁴ can never be negative. Therefore, the only possible solution is when both z³  and z⁴  are less than 2.

Now, let's compare the values of y, x, and z:

y = -7/3 ≈ -2.33

x = 11/4 ≈ 2.75

z³ + z⁴ < 2 (as explained above)

Based on these values, we can determine the relationship between the variables:

A. y > x

B. x = y

C. y > z

D. x > z

The correct answer is: B. x = y

To know more about equation here

https://brainly.com/question/21835898

#SPJ2


i do not understand ): please help

Answers

Answer: its 5 and -1  so D

Step-by-step explanation: In mathematics, a coefficient is a multiplicative factor in some term of a polynomial, a series, or any expression; it is usually a number, but may be any expression. In the latter case, the variables appearing in the coefficients are often called parameters, and must be clearly distinguished from the other variables

The answer to this question is d 5,-1
Other Questions
ball is thrown 40 meters above ground. the height of the ball from the ground level after t seconds is defined by using the function h(t)=40t-5t^2. how long will the ball take to hit the ground Find the measure of each numbered angle. NEED HELP NOWm wich fabric designs for you are merely the same in terms of making and technique? why? Match each sentence with the correct profession ________ ayuda a las madres y a los bebs en el hospital.La jefa________ es inteligente con las palabras. La comadrona________ habla de las leyes en el gobierno local de mi comunidad.El poltico________ paga a los ingenieros despus de elaborar los planos.El abogado 49.The rise of Napoleon Bonaparte, the spread of revolutionary ideals, and the growth of nationalism are considered three of the __________ of the French Revolution.A.contributing factorsB.immediate causesC.immediate effectsD.long-term effects Ill mark brainleist please helppp The motto trust thyself is based on which transcendentalist belief Compared to its parent function the transformation of the following : y= -3x - 3 + 4a) reflected respect to x-axis, stretched vertically, moved 3 to the left and 4 upb) stretched horizontally, moved 3 to the right and 4 upc) reflected with respect to x-axis, stretched vertically, moved 3 to the right and 4 upd) stretched horizontally, moved 3 to the left and 4 down What angle would it be? A manufacturer who is considering the implementation of a one-week training program for all new employees decides to test the program with the next 100 employees hired, and then compare their productivity rate to the productivity rate of new employees based on past recordsa rate that is normally distributed with a mean of 60 and a standard deviation of 8. The new program needs to produce a minimum improvement of 4 to be considered worthwhile. What is the comparison distribution's standard deviation? Find three consecutive odd integers such that the sum of the smallest number and middle number is 27 less than 3 times the largest number Can someone help me out with this problem mention any two steps which have been taken by the goverment to alleviate poverty At a charity fund raiser , adult tickets were sold for 8$ children each and childrens tickets were sold at 2$ each. write an algebraic expression for the total amount raised from the sale of tickets. How much money was raised if the fundraiser sold 238 adult tickets and 375 childrens tickets? - Summarize Tell what happens when Mr. Hall comes to visit. Unscramble the sentences Why did the Governor of Cuba send troops to get Corts?HELP!!!! What is the GCF of 18x^2, 6x pls help me im not good at this its 6th grade spanish write 23.4571 correct to ,a,4 significant figureb,the nearest 10