Find the equation of a line which passes through the point (3, –4) and has a slope of –3. Put your final answer in standard form

Answers

Answer 1

Answer: 3x+y=5

Step-by-step explanation:

Equation of a line that has slope(m) and passes through point (a,b) is given by :-

[tex](y-b)=m(x-a)[/tex]

Given: Point = (3,-4)

Slope =-3

Then, the equation of the required line:

[tex](y-(-4))=-3(x-3)\\\\\Rightarrow\ (y+4)=-3(x-3)\\\\\Rightarrow\ y+4=-3x+9\\\\\Rightarrow\ 3x+y=9-4\\\\\Rightarrow\ 3x+y=5\ \ \ \ [\text{Standard form: Ax+By=C}][/tex]

Hence, required equation: 3x+y=5


Related Questions

y=-x^2+10x-23 in vortex form

Answers

Answer is
Y=(x-+5)^2 -2

What is the area of the circle above?

Answers

Answer:

201.6

i think

Answer: I am pretty sure its A

Step-by-step explanation:




PLEASE HELP!!!! posted jan 25 2021 9:16 am i need it by 11:50 pm of today!!!

Which of the following can be used to find y, the number of yards in 4 miles?
А
1,760
y =
4
B.
y = 4.1,760
с
y = 4.5.280
D
v=
5.280
4

Answers

Answer:

B

Step-by-step explanation:

1760 yards in 1 mile.

4 miles is 1760x4

help now plsssss!!!!!!!

Answers

The answer is 5, all you have to do is multiply one of the denominations and if you multiply 6 by 10 it = 60 and if you multiply 10 by 6 you get 60 there for you simplify that which equals to 5

Maya's new puppy weighs 4 pounds . He will gain an average of 2 pounds each month until reaches his adult weight Which equation can be used to predict his total weight t after m months?

Answers

Answer:

4 + 2t = m

Step-by-step explanation:

Answer:

i think it t=2m

so sorry if im wrong i tried

Step-by-step explanation:

The graph of a system of linear equations with the same slope and the same y-intercepts will have no solutions.
Always
Sometimes
Never

Answers

Answer:

Never

Step-by-step explanation:

If two equations have the same slopes and the same y-intercepts they are equivalent to each other

Here's why:

The formula for a linear equation is y= mx +b

b= y- intercept

m= slope

m and b are only variable that have to be replaced by a number for the equation to be complete

Therefore, when m and b (or the slope and the y-intercept)  of both equations are the same, the two equations are the same

The answer would be allrealnumbers, not nosolutions

Hope this helps!!!

Ryan drinks 1 1/2 liters of water every 3/4 of an hour at a constant rate. How many liters of water does Ryan drink in one hour

Answers

Answer:

2 litres of water

Step-by-step explanation:

If Ryan drinks 1 1/2 liters of water every 3/4 of an hour at a constant rate, this can also be expressed as;

1 1/2 litres = 3/4 hour

To get the amount of litres Ryan drank for 1 hour

x = 1 hour

Divide both equations

(3/2)/x = (3/4)/1

3/2x = 3/4

2x * 3 = 3 * 4

6x = 12

x = 12/6

x = 2

Hence Ryan drinks 2 litres of water in an hour

The ratio of girls to boys in the 6th grade is 6 to7. How many girls are there if there are 364 total students?

Answers

Answer:

168

Step-by-step explanation:

This is a proportion problem, but with a small trick.

Boys/Girls = 7/6

Here is the trick: add 1 to each side of the equation

(boys/girls) + 1 = (7/6) + 1

(boys + girls)/girls = 13/6

364/girls = 13/6 => 13*(girls) = 6*364 = 2184 => girls = 168

Answer:

[tex]168[/tex] girls

Step-by-step explanation:

Since the ratio of girls to boys is [tex]6:7[/tex], we can let the number of girls be [tex]6x[/tex] and the number of boys be [tex]7x[/tex]. We are given that there are a total of [tex]364[/tex] students, so we can write the following equation to solve for [tex]x[/tex]:

[tex]6x+7x=364[/tex]

Solving for [tex]x[/tex], we get:

[tex]6x+7x=364[/tex]

[tex]13x=364[/tex] (Simplify LHS)

[tex]\frac{13x}{13} =\frac{364}{13}[/tex] (Divide both sides of the equation by [tex]13[/tex] to get rid of [tex]x[/tex]'s coefficient)

[tex]x=28[/tex] (Simplify)

Therefore, there are [tex]6x=6*28=168[/tex] girls in the 6th Grade. Hope this helps!

Use Pythagorean theorem to solve for x

Answers

Answer:

339.7705

Step-by-step explanation:

It takes 60 cubic feet of sand to fill a sandbox. The length and
width of the sandbox are 5 feet and 6 feet. What is the height
of the sandbox

Answers

Answer: 2 feet tall

Step-by-step explanation: 5*6=30/60=2

What is the solution to the system of equations shown on the graph?
(-1,-3)
(-3,-1)
(13,-1)
No Solution

Answers

Answer:

(-1, -3)

Step-by-step explanation:

The solution of the graph is the coordinate of the point where the two lines intercept each other on the graph.

Thus, the two lines intercept at when x = -1, y = -3.

The solution to the system of equations represented on the graph would be (-1, -3)

c) Which of these numbers is a square number
A
4 x 10^5
B
9 x 10^4
C
4 x 10^3
D
9 x 10^3​

Answers

9514 1404 393

Answer:

  B.  9 x 10^4

Step-by-step explanation:

The square number will be a square multiplied by 10 to an even power. Only one choice has an even power of 10.

  9 x 10^4

determine the standard form of the equation of the line that passes through (6,0) and (2,-7). (-7x-4y=-42) (7x-4y=42) (-7x+4y=42) (4x+7y=-42)​

Answers

Answer:

[tex]7x - 4y = 42[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (6,0)[/tex]

[tex](x_2,y_2) = (2,-7)[/tex]

Required

Determine the equation in standard form

First, calculate the slope (m) using:

[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]

This gives:

[tex]m = \frac{-7 -0}{2 - 6}[/tex]

[tex]m = \frac{-7}{-4}[/tex]

[tex]m = \frac{7}{4}[/tex]

The equation in standard form is calculated using:

[tex]y - y_1 = m(x - x_1 )[/tex]

This gives:

[tex]y - 0 = \frac{7}{4}(x - 6)[/tex]

[tex]y = \frac{7}{4}(x - 6)[/tex]

Cross Multiply

[tex]4y = 7(x - 6)[/tex]

Open bracket

[tex]4y = 7x - 42[/tex]

Subtract 7x from both sides

[tex]-7x + 4y = 7x - 7x - 42[/tex]

[tex]-7x + 4y = - 42[/tex]

Multiply through by -1

[tex]-1(-7x + 4y) = - 42*-1[/tex]

[tex]7x - 4y = 42[/tex]

Evaluate 6x-4y when x=5and y=2

Answers

Answer:

22

Step-by-step explanation:

6×5 and 4×2 then subtract

Answer:

30-8=22

Step-by-step explanation:

6*5-4*2

30-8

22

A student has a container with a volume of 0.5 liter. She estimates the volume to be 0.6 liter. By what
percent is the student's estimate off?
(Round to the nearest percent as needed.)

Answers

Answer:

20%

Step-by-step explanation:

Answer:

Step-by-step explanation:


Show work please will do
Brainlest

Answers

Answer:

about 7 times

Step-by-step explanation:

First do 80 times 3 and get 240 then do 240 divided by 34 and get 7.058823529 which can be rounded to 7.

The equation of a line in slope-intercept form through the point (3, -4) and had a slope of 6

Answers

Answer:

The equation of a line in slope-intercept form through the point (3, -4) and had a slope of 6 will be:

y = 6x - 22

Step-by-step explanation:

Given

The point = (3, -4)Slope = m = 6

We know that the slope-intercept form of the line equation

y = mx+b

where

m is the slopeb is the y-intercept

substituting m = 6 and the point (3, -4) in the slope-intercept form of the line equation  to determine the y-intercept b

y = mx+b

-4 = 6(3) + b

-4 = 18 + b

switch sides

b = -4 - 18

b = -22

now substituting m = 6 and the b = -22 in the slope-intercept form of the line equation

y = mx+b

y = 6x + (-22)

y = 6x - 22

Therefore, the equation of a line in slope-intercept form through the point (3, -4) and had a slope of 6 will be:

y = 6x - 22

Write the exponent for the expression.
1/9 x 1/9 x 1/9=?
HELP FAST plz

Answers

Step-by-step explanation: To find the exponent, we look at the expression again and see how much of the same number or fraction is repeated. Since the main number is 1/9 and there are 3 fractions repeating it, the exponent is [tex]\frac{1}{9} ^3[/tex] or 1/9 to the 3rd power.

Down is a formula I made!

Main number: 1/9

Repeating how many times: 3

Expression: [tex]\frac{1}{9} ^3[/tex]

Therefore, 1/9 to the 3rd power is 1/729.

[tex]\frac{1}{9}^3=\frac{1}{729}[/tex]

Note: The questioner did not ask for the answer. I wanted to add it anyway for future reasons.

Answer please i need answer by 11:00 est

Answers

Step-by-step explanation:

2*(1/4)=0.25*2= 0.5 = (2/4)

(2/4) + (3/4)= (5/4) =

Ben purchases 16 tickets at the fair . Each ride requires 2 tickets, and each food item requires 1 ticket. If ben uses 4 tickets for food iteems, what is the mazimum number of rides he can go on if he uses all of his tickets

Answers

he could go on 6 rides if he were to spend 4 tickets.

x is the amount of rides rode
y is the amount of food bought

2x+y+16
substitute
2x+4=16
subtract
2x=12
divide
x=6

Use trigonometry to solve for x. Round to the nearest tenth.

Answers

Answer

12

Step-by-step explanation:

You need to use cosine because the side length needed is adjacent and you have the hypotenuse.Set up a proportion of "cos23 = x/13" and solve by cross multiplying. Then just round.

Write the following decimal number in its equivalent fraction form. Show all work
0.8

Answers

Answer:

4/5

Step-by-step explanation:

0.8=8/10=4/5

tadaaa

What combination of transformations is shown below?

Answers

Answer:

Rotated then reflected.

Step-by-step explanation:

2a. According to a Pew Research survey, about 25% of American adults are pessimistic about the future of marriage and the family. This is based on a sample, but assume this percentage is correct for all American adults. What is the probability that in a sample of 20 American adults, 23% or fewer of the people in the sample are pessimistic about the future of marriage and family

Answers

Answer: 0.4181807

Step-by-step explanation:

Probability that American adults are pessimistic about the future of marriage and the family: p= 0.25

Sample size n= 20

Let [tex]\hat{p}[/tex] be the sample proportion of American adults that are pessimistic about the future of marriage and the family.

[tex]P(\hat{p}\leq0.23)=P(\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}<\dfrac{0.23-0.25}{\sqrt{\dfrac{0.25(1-0.25)}{20}}})\\\\= P(Z<-0.20655) \ \ \ \ [Z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}]\\\\=1-P(Z<0.20655)\\\\= 1- 0.5818193=0.4181807[/tex]

Hence, the required probability = 0.4181807

Samples of two different models of cars were selected, and the actual speed for each car was determined when the speedometer registered 50 mph. The resulting 95% confidence intervals for true mean actual speed were (51.7, 53.1) and (49.1, 50.3). Assuming that the two sample standard deviations are equal, which confidence interval is based on the larger sample size

Answers

Answer:

n₁  > n₂     Sample size of the first sample is bigger

Step-by-step explanation:

CI = 95 %    α = 5 %     α = 0,05

We know the bell shape curve of the normal distribution is symmetrical with respect to the mean, therefore we only need to evaluate one tail of the samples

Then from z-table we find   z(c)  =  1,64

CI   =  (  μ₀ - z(c)*σ /√n   <  X  <   μ₀ + z(c)*σ /√n )

So we must compare the tails of the two CI

Let´s call  n₁    and   n₂   the samples size of two different samples

The CI of the samples begins at

sample 1       μ₀ - z(c)*σ /√n₁        and for sample 2    μ₀ - z(c)*σ /√n₂      

that means   51,7  =  μ₀ - z(c)*σ /√n₁     (1)

and                49,1  =   μ₀ - z(c)*σ /√n₂     (2)

Where   μ₀ ;  z(c) = 1,64 ;  σ  are equal in both equations

Now by simple inspection, we note that the second term on the right side of the second equation should be bigger than the second term on the right side of  the first equation

then    

z(c)*σ /√n₂   >  z(c)*σ /√n₁

Then   n₂    need to be smaller than  n₁

n₁  > n₂

A biologist estimated that the current population of ladybugs in the region was 8.3 x 106. He predicts that a swarm of
950,000 ladybugs will be arriving into the region.
According to the biologist's estimates, how many ladybugs will be in the region after the swarm arrives? math

Answers

According to the biologist's estimates, there will be 9.25 million ladybugs in the region after the swarm arrives.

How many ladybugs will be in the region after the swarm arrives?

To find the total population of ladybugs in the region after the swarm arrives, we need to add the number of ladybugs in the region before the swarm arrives to the number of ladybugs in the swarm:

Total ladybugs = 8.3 x 10⁶ + 950,000

Total ladybugs = 8,300,000 + 950,000

Total ladybugs = 9,250,000

Therefore, according to the biologist's estimates, there will be 9.25 million ladybugs in the region after the swarm arrives.

Learn more about total population here: https://brainly.com/question/13902749

#SPJ1

Caleb invested $390 in an account paying an interest rate of 7% compounded
quarterly. Autumn invested $390 in an account paying an interest rate of 7%
compounded continuously. After 15 years, how much more money would Caleb have
in his account than Autumn, to the nearest dollar?

Answers

Answer:

$9

Step-by-step explanation:

DELTAMATH

Round 8 ÷ 6365
(Show your work)

Answers

Answer: 8 ÷ 6365

Step-by-step explanation: cant be simplified

pita has 12 coins in her bag there are three £1 coins and nine 50p coins she takes 3 coins from the bag at random work out theprobability that she takes exactly £2.50

Answers

Answer:

3 x 3/12 x 2/11 x 9/10

Step-by-step explanation:

Cindy plans to join a gym. A gym membership at Fit Factor cost $300 for the year.

Answers

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