What is the equation of the line that has a slope of 4 and passes through the point (-1, 4)?
O y = 4x + 8
O y = 4x - 1
O y = 4x + 4

Answers

Answer 1

Answer:

y = 4x + 8

Step-by-step explanation:

Plug x = -1 into each of the equations, and see which one results in y = 4.

The first equation will be the only correct answer.

y = 4x + 8

y = -4 + 8

y = 4

Answer 2

Answer:

[tex]y=4x+8[/tex]

Step-by-step explanation:

Linear equations are typically organized in slope-intercept form:

[tex]y=mx+b[/tex]

Here's what the variables mean:

[tex]y[/tex] = the y-coordinate

[tex]m[/tex] = the slope of the line

[tex]x[/tex] = the x-coordinate

[tex]b[/tex] = the y-intercept (the value of y where the line crosses the y-axis)

Because the slope of the line is 4, we can plug that into our equation as [tex]m[/tex]:

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

Now, all we have to do is solve for [tex]b[/tex], the y-intercept. We can do this by plugging the point (-1, 4) into the equation as [tex]x[/tex] and [tex]y[/tex].

[tex]4=4(-1)+b[/tex]

Solve the equation

[tex]4=4(-1)+b\\4=-4+b[/tex]

Add 4 to both sides to isolate [tex]b[/tex]

[tex]4+4=-4+b+4\\8=b[/tex]

Therefore, [tex]b[/tex], or the y-intercept, is equal to 8.

Now, when we plug the y-intercept into our equation, we get:

[tex]y=4x+8[/tex]

I hope this helps!


Related Questions

Jenny bought a pair of shoes for $49.76 with a 30% off coupon. How much will she pay in total after 7% sales tax?



Answers

Answer: the final price is $37.26

Step-by-step explanation:

Always when we have an increase in a percentage X%, with an initial amount A, the new amount will be:

A + A*(X%/100%)

And for a decrease, the equation is_

A - A*(X%/100%)

Then if the initial price is $49.76, and there is a decrease of the 30%, the new price will be

$49.75 - (30%/100%)*$49.75 = $34.83

Now we have an increase of the 7% because of the IVA, then the final price is:

$34.83 + (7%/100%)*$34.83 = $37.26


What is the area of the triangle below?

Answers

Answer:

9

Step-by-step explanation:

base = 6

height = 3

1/2 b * h = 9

If the slope is -2 and the y-intercept is -5, then the linear equation is y = -2x - 5.
True
False

Answers

Answer:

True

Step-by-step explanation:

y = mx + b,

where m = slope and b = y-intercept.

You have m = -2 and b = -5, so you get

y = -2x - 5

Answer: True

what is the answer to r - 4.5 < 11

Answers

r - 4.5 < 11

r would be 15.5
[ r = 15.5 ]

Could someone help me on this question? Will mark brainliest.

Answers

Answer:

x = 9

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

6x+17+74+35=180

(6x)+(17+74+35)=180(Combine Like Terms)

6x+126=180

6x+126=180

Step 2: Subtract 126 from both sides.

6x+126−126=180−126

6x=54

Step 3: Divide both sides by 6.

6x /6 = 54 /6

x = 9


3(-4x + 8) =
PLEASE help! i don’t know these questions

Answers

Answer:

3(-4x+8)= now distribute it -12 x+24 so the answer will be that

The pond at a local park is home to a number of birds. ⅕ of the birds are white. ⅔ of the white birds are ducks. ¾ of the ducks are hungry. What fraction of the birds are hungry, white ducks?

Answers

Answer:

Step-by-step explanation:

the park has 1/5 white birds

out of this number, 2/3 are ducks

ducks=(1/5)/(2/3)=3/10

hungry ducks=(3/10)/(3/4)=6/15

Can anyone solve this.

Answers

Answer:

x-1+5x+1=180, 6x=180, x=30

Step-by-step explanation:

Rohan buys 1 dozen pens for 180 and Saurav buys 7 pens for 390. Who bought costlier pens ​

Answers

Answer:

saurav

Step-by-step explanation:

1 dozen of pen is = 12.

12 = 180

7 = 390

Saurav is the answer for this question

Harry's amount of money is 75% of Kayla's amount of money

Answers

Answer:

Add vaslues

Step-by-step explanation:

How much money does kayla have?

Which two points on the number line represent numbers that can be combined to make zero? A B C D -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 B and D A and B C and D A and A C​

Answers

Answer:  B and D

Step-by-step explanation:

B=-2

D=2

The negative and positive signs cancel out, leaving you with zero.

Ex: you take two steps back, but then you take two steps forward so you're back where you started (0).

Lin runs 5 laps around a track in 8 minutes. How many minutes per lap is that? Answer as a decimal.

Answers

Answer:

.625

Step-by-step explanation:

Answer:

1.6

8min divided by 5 equals 1.6 so 1.6min for each lap

What is the answer to the last question

Answers

Answer:

b

Step-by-step explanation:

Answer:

the answer for the last one is A = 6

Given functions f (x) and g (x), the x-coordinate of the point of intersection of two functions is a solution of the equation f (x) = g (x).

A. The statement is true because when you substitute the x-coordinate of the point of intersection in the equation f (x) = g(x), a false statement results.
B. The statement is false because when you substitute the x-coordinate of the point of intersection in the equation f (x)=g(x), a true statement results.
C. The statement is true because, when you substitute the x-coordinate of the point of intersection in the equation f (x) = g(x), a true statement results
D.The statement is false because when you substitute the x-coordinate of the point of intersection in the equation f (x) = g (x), a false statement results.​

Answers

The answe is C.

Explenation:

I did the question and

Answer:

C. The statement is true because, when you substitute the x-coordinate of the point of intersection in the equation f (x) = g(x), a true statement results

Your friend's parents each have a job. Her mother's average weekly salary is $740 with a standard deviation of $43. Her father's average weekly salary is $535, with a standard deviation of $25. Find the average weekly salary of her parents combined, and the standard deviation of their combined salaries. You can assume that the amount of money her mother makes has no effect on her father's salary, and vice versa.

Answers

Answer:

M= 740 [tex] \alpha = 43[/tex]D= 535[tex] \alpha = 25[/tex]You have two samples and two standard deviations We need the average of the take home pay and their combined standard deviation.So combined both regressions to get the total combined.

The average weekly salary of friends' parents is 1275$ and the standard deviation is 49.739.

What is the standard deviation?

The standard deviation measures the degree of dispersion of a collection of data. Each data point is compared to the average of all the data points, and the standard deviation gives a determined number that indicates whether the data points are clustered together or dispersed. The standard deviation of a normal distribution indicates how far values deviate from the mean.

Given that, Both of my friend's parents are employed. Her mother makes $740 on average per week, with a standard variation of $43. Her father makes $535 on average each week, with a standard variation of $25.

Let X denotes the weekly salary of her mother.

X ~ Normal(740,432)

Let Y denotes the weekly salary of her father.

Y ~ Normal(535,252)

and X and Y are independent.

the average weekly salary of your parents combined = E(X+Y)

= E(X) + E(Y) = 740 + 535 =  1275

the variance of weekly salary of your parents combined = Var(X+Y) = Var(X) + Var(Y) = 432 + 252 = 2474

the standard deviation of the combined salaries = [tex]\sqrt{2474}[/tex] = 49.739

Therefore, Parents of friends make 1275 dollars on average per week, with a standard deviation of 49.739.

Learn more about standard deviation here:

https://brainly.com/question/23907081

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The price of the shirt is $18.50 but you have a coupon that lowers the price by 20%. What is the price of the shirt after using the coupon?

Answers

Answer:

After using the coupon the price of the shirt would be $14.80

Step-by-step explanation:

To take the 20% off you subtract 20 from 100 because its 20% off. which is 80 then multiply the price by 0.80

What is |-8|
0-16
O 8
O 8
O 16

Answers

Answer
8

Explanation

The absolute value of a negative number turns into a positive
the absolute value of -8 is 8, absolute values of negative numbers are positive

What is an advantage to using debt snowball method

Answers

Answer:The advantage of the debt snowball is that it helps build motivation for debt repayment. The debt snowball method involves paying off the smallest debts first to get them out of the way before moving on to bigger ones. It's not easy to get excited about debt repayment.

Step-by-step explanation:

Advantages of the debt snowball method The primary advantage of the snowball method is the psychological boost. When you see debts disappearing, it can increase your motivation to continue paying off debt. And even if you’ve only paid off a small balance, your confidence in the progress you’re making grows.

write five numbers that are greater than 75,330,000 but less than 75,410,000

Answers

Answer:

75,310,000

75,340,000

75,360,000

75,370,000

75,380,000

75,390,000

75,400,000

Find the quotient.

415 ÷ −3.4=

Answers

Answer:

415 ÷ 3.4 = 122.058

Step-by-step explanation:

   

PLZ ANSWER IF U KNOW THE ANSWER​

Answers

Answer:

Scott

Step-by-step explanation:

you got it right, -20 absolute value is 20

what is equivalent to 6x-3y=12

Answers

Answer: x= 1/2y+2

Step-by-step explanation:

Select the create a description for the expression

Answers

Answer:

i think its a

Step-by-step explanation:

the x+3 is the sum and ofc the number is the number

PLEASE HELP RN! 50 POINTS IF YOU ANSWER THIS IS DUE TODAY

Answers

Answer:

I graphed this...

Step-by-step explanation:

It is not linear because it is not a strait line and it doesnt go through the middle!

Hope this helps! :)

7-x/3x+12 is a rational expression. The domain of this expression is all real numbers except____?

Answers

FnatmatnFnarnramatmqntntjwtn

Place each pair of angles in the correct column.

Answers

Answer:

congruent: 1 & 8,

congruent & corresponding: , 4&8

supplementary: 2&5, 3&5, 3&4

i don’t see how anything can be congruent AND supplementary unless the angles are both 90.... hope this helped

Melissa has started training for a race. The first time she trains, she bikes 5 miles. Each subsequent time
she trains, she bikes 0.5 mile farther than she did the previous time.
a) Use summation notation to write an arithmetic series to represent the total distance Melissa has biked
after she has trained n times. (2 points)
b) Use the formula for a partial sum of the series you wrote in part a, above, to answer this question: What
is the least number of times Melissa must bike for her total distance biked during training to exceed 60
miles? (3 points)

Answers

It’s 59000000000099999999 miles

Answer:

55

Step-by-step explanation:

22.758 to the nearest foot

Answers

23 feet is 22.758 to the nearest foot

DATE
PERIOD
Unit 3, Lesson 7: Cool-down
M
7.5: Cheetah Speed
(2 4
A cheetah can run at its top speed for about 25 seconds. Complete the table to represent a cheetah
running at a constant speed. Explain or show your reasoning.
time (seconds) distance (meters) speed (meters per second)
4
120
25
270

Answers

Answer:

ok this was a good one so here

Step-by-step explanation:

time (seconds)

distance (meters)

speed (meters per second)

4 120 30

25 750 30

9 270 30

The required values are in the completed table which has been attached below.

What is the distance?

Distance is defined as the product of speed and time.

Since the Cheetah's speed is constant, the speed must be consistent throughout the table.

To calculate the unknown time and distance, use the following formula:

Speed = Distance/Time = c

When distance = 120m, time = 4 secs

Speed = 120/4 = c

Speed = 30m/s = c

We are to get the distance when the time is 25 secs

Speed = Distance/Time

30 = d₂/25

d₂ = 30 × 25

d₂ = 750 m

To get the time in the third column

Time = Distance/Speed

t₃ = 270/30

t₃ = 9seconds

Therefore, the required values are in the completed table which has been attached below.

Learn more about the distance here:

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PLEASE HELP IN ONE MINUTE WILL MARK BRAINLIST AND GIVE MONEY . Help with number 1 only

Answers

Answer:

We start with 550 pieces of candy.

We know that for each kid that comes, the total number of candy will be reduced in 5 units.

Then if there are x children that came to take candy, the total number of candy left will be:

f(x) = 550 - 5*x

That is the function that represents this situation.

Now we want to find the zero of this function, this will be the value of x such that f(x) = 0.

So we only need to solve the equation:

f(x) = 0 = 550 - 5*x

      5*x = 550

         x = 550/5 = 110

The x-intercept will be (110, 0)

In this particular case, the information on the zero represents the number number of kids that must come and take candy in order to have no more pieces left in the bowl.

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