Write the equation of a line that has a slope of 3 and passes through the point (5, 7).
O y = 3x + 8
O y = 5x + 7
O y = 3x - 8
O y = 7x + 5

Answers

Answer 1

Answer:

y = 3x - 8    

Step-by-step explanation:

All the options are written in slope-intercept ( [tex]y = mx + b[/tex]) form. So, what we can do with the given information is write the equation in point-slope form first, then convert it to slope-intercept form.  

1) First, use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to find the point-slope equation of the line. Substitute [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] for real values.

Since [tex]m[/tex] represents the slope, substitute 3 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, substitute the x and y values of (5,7) into the appropriate places in the formula as well. This gives the following equation of the line in point-slope form:  

[tex]y-7 = 3(x-5)[/tex]

2) Now, isolate y in the above equation to find its slope-intercept form.

[tex]y-7=3(x-5)\\y-7 = 3x-15\\y = 3x -8[/tex]

Thus, the answer would be the third option as it matches the result we received.


Related Questions

can u help me with this ​

Answers

Answer:

245 degrees

Step-by-step explanation:

The circle is 360 degrees and you have only found 55 and 60  you add those together and you will get 115 to find jk you first add the numbers you have then minus them with 360 because its a circle. 360-115 will be 245 that would be your answer.

Answer:

120 degree

Step-by-step explanation:

jn-60 vwrtical oopsite angle

nk 180

jk 180-60

How do I Solve for x.
4x^2-64=0

Answers

Answer:

Step-by-step explanation:

.

4

2

Answer:

x = 4, -4

Step-by-step explanation:

You can do this by simply pressing the calculator OR by simplify

4x^2 - 64 = 0

(2x)^2 - 8^2 = 0

(2x - 8)(2x + 8) = 0

∴ 2x - 8 = 0 or 2x + 8 = 0

x = 4 or x = -4

Work out the reciprocal of 0.125

Answers

Answer:

The right answer is 8 hope I helped

Find the smallest value of m such that the LCM of m and 34 is 374.

Answers

Answer:

11

first you use a number tree

34 374

/\ /\

2 17 2 187

/\

11 17

express the numbers in prime factors

374=2×11×17

34 =2×17

in finding LCM you use the highest prime factors in this case the highest prime factors are 2, 11 and 17

So m factors are 2 and 11

which means m is 2×11=22

22 in its smallest form is 11

I need helppp I’m stuck

Answers

K (-3,-3)
L (1,-1)
M (-1,-5)
N (-5,-7)

if your smart what is 1 + 1= ?​

Answers

One plus one equals two

1 + 1 = 2

Answer:

1+1=2

easy

plz mark as brainliest

12 = x +24/8
I really need help with this

Answers

Answer:

x = 9

Step-by-step explanation:

24 divided by 8 is equal to 3.

12 = x + 3 (subtract three from both sides)

9 = x

9 is the correct answer

Compare. Fill in the blank using <,>,or =

16. -2/3_____-1

17. -1 3/4_____1 5/6

18. -2/7______0​

Answers

16. <
17.>
17. =
I hope this right

Celia uses 7.9 pints of blue paint and white paint to paint her bedroom walls. 2 5 of this amount is blue paint, and the rest is white paint. How many pints of white paint did she use to paint her bedroom walls?

Answers

Given:

Total paint used = 7.9 pints

Blue paint is [tex]\dfrac{2}{5}[/tex] of this amount.

The remaining paint is white.

To find:

The amount of white paint.

Solution:

Blue paint is [tex]\dfrac{2}{5}[/tex] of 7.9 pints.

[tex]\text{Blue paint}=7.9\times \dfrac{2}{5}[/tex]

[tex]\text{Blue paint}=3.16[/tex]

Now,

[tex]\text{White paint}=\text{Total paint}-\text{Blue paint}[/tex]

[tex]\text{White paint}=7.9-3.16[/tex]

[tex]\text{White paint}=4.74[/tex]

Therefore, the total white paint used in Celia's bedroom walls is 4.74 pints.

What is the volume of the shaded solid? Round to the nearest tenth of a cubic unit. 11.6 units3 45.4 units3 57.0 units3 68.6 units3

Answers

Answer:

45.44units^3

Step-by-step explanation:

Volume of the shaded part = Volume of the triangular based prism - Volume of square based prism

Volume of prism = Base area * Height

Volume of the triangular based prism = (5 * 4 * 5.7)/2

Volume of the triangular based prism = 57units^3

Volume of square based prism = 1.7* 1.7 * 4

Volume of square based prism = 11.56units^3

Taking the difference

Volume of the shaded solid = 57 - 11.56

Volume of the shaded solid  = 45.44units^3

Answer:

B

Step-by-step explanation:

which answer is correct

Answers

Answer:

The answer is b

Un pueblo tenía 13.578 habitantes en 1970. En 1988 la población se incrementó 1,5 veces con respecto a 1970 y en 2001 se incrementó 2,25 veces en relación a 1988. ¿Cuántos habitantes había en el año 2001?

Answers

Answer:

En 2001 el pueblo poseía 45.826 habitantes.

Step-by-step explanation:

Un pueblo tenía 13.578 habitantes en 1970. En 1988 la población se incrementó 1,5 veces con respecto a 1970. Para calcular entonces la población en 1988 debes realizar el siguiente cálculo:

13.578*1,5= 20.367

Por lo que en 1988 el pueblo poseía 20.367 habitantes.

En 2001 se incrementó la población 2,25 veces en relación a 1988. Para calcular entonces la población en 2001 debes realizar el siguiente cálculo:

20.367* 2,25= 45.825,75≅ 45.826

Por lo que en 2001 el pueblo poseía 45.826 habitantes.

4. Jessica is saving money to buy a phone that costs $415. She already has $85 saved. She mows
lawns to make extra money. She charges $15 per lawn that she mows. Let n be the number
of lawns she needs to mow to have enough money saved to buy the phone.
Set up and solve an equation to find the value of n.

Answers

Answer:

15n = 330

Value of n(number of lawns) = 22

Step-by-step explanation:

She has already saved $85 which means the amount of money she needs left will be

=$415 - $85

= $330

Now n represents the number of lawns she needs to mow. She earns $15 per lawn, so she needs to multiply the cost of each lawn by the number of lawns (n) and equal it to the money she needs. This is how the equation will turn out.

15n = 330

To go further, divide both sides by 15 to get the number of lawns she has to mow.

[tex]\frac{15n}{15} =\frac{330}{15}[/tex]

n = 22

∴ She needs to mow 22 lawns to get the amount of money she needs.

What is the following sum of 3/10 + 39/100

Answers

Answer:

.69 is the answer to the question

Please help me give Brain

Answers

Answer:168

Step-by-step explanation:

For each ordered pair determine whether it’s a solution to 5x plus 2y = -1

Answers

Answer:

1,-3

Step-by-step explanation:

The probability distribution for a random variable x is given in the table Find the probability that X<=20

Answers

probability for X<=20 is 1

what is probability?

the probability is the department of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The chance of an event is a number between 0 and 1, in which, roughly speaking, zero indicates the impossibility of the event and 1 shows certainty.

probability = the number of ways of attaining success. the total number of possible results. For instance, the chance of flipping a coin and its being heads is ½, due to the fact there may be 1 way of getting a head and the total number of possible outcomes is two (a head or tail).

Learn more about probability here

https://brainly.com/question/24756209

#SPJ2

1. Add: 85 + (-96) *


Help

Answers

Answer:

Your answer is -11

Step-by-step explanation:

85-96=-11

PLEASE HELP!!!!!!!!!!!!!!!!!!!! NEED THIS NOWWWW!!!!!!! WILL GIVE BRAINLIEST!!!!!!!!!!!!!1

Answers

Answer:

22

50

Step-by-step explanation:

You make $52,000 a year. Your state income tax rate is 2.5%. The state income tax allowance is $1500 per person and you have three allowances. They are yourself, your spouse and one child. How much income tax do you owe?​

Answers

Answer:

1,187.50

Step-by-step explanation:

Answer:

Step-by-step expiation

we know that their is an income tax rate of 2.5%, Since their is more than one person within the household, we will multiple the tax rate by 3

2.5% = 0.025

0.025 x 3 = 0.075

Then we will multiple the tax rate by our principal,

52,000 x 0.075 = 3,900

52,000 - 3,900 = 48,100

This will then give us our answer of $3,900 for the income tax rate that is owed, and as well as their new total income.

Michael's lawn mower had 3/8 of a gallon of gasoline in the tank. He started mowing and used all of the gasoline. He put 4/10 of a gallon of gasoline in the tank. After he mowed, 2/4 of a gallon was left in the tank. ​What was the total amount of gasoline Michael used?

Answers

Answer:

11/40 of a gallon

Step-by-step explanation:

The amount of gasoline in the tank of lawn mower = 3/8 of a gallon

Then he put the amount of gasoline in the tank = 4/10 of a gallon

The total amount of gasoline filled in the tank = 3/8 + 4/10

= 3/8 + 2/5

= 15+16/40

= 31/40

The total amount of gasoline filled in the tank = 31/40

The amount of gasoline left in the tank after mowing = 2/4

Total amount of gasoline Michael used = 31/40 - 2/4

= 31-20/40

= 11/40 of a gallon

Alternatively, you can follow this method:

Total amount of gasoline Michael used = 3/8 + (4/10 - 2/4)

= 3/8 + (2/5 - 2/4)

= 3/8 + ( 8-10/20)

= 3/8 + (-2/20)

= 3/8 + (-1/10)

= 3/8 - 1/10

= 30-8/80

= 22/80

= 11/40 of a gallon

Total amount of gasoline Michael used = 11/40 of a gallon

30 = 6y

A)y= 5

B)y = 6

C)y = 180

D)y = 10

Answers

Answer:

A) y = 5

Step-by-step explanation:

30 / 6 = 5

y = 5

Hope this helps! Have a nice day! Plz mark as brainliest!!!

-XxDeathshotxX

It’s A because 6*5=30 and divided 30 by 6 it equals 5

Can someone plzzzz help meeee!!!!!

Answers

Answer:

1. Interpret (L): To explain or to give meaning to.

2. Variable: (F) Something that can change or influence the results of an experiment.

3. Observe (I): To notice what occurs during an experiment.

4. Questions (B): The inquiry or problem relating to a topic that can be answered by conducting an experiment.

5. Scientific Method (A): A method of doing research that includes the steps of identifying a problem, gathering data, forming a hypothesis, testing a hypothesis, and drawing a conclusion.

6. Ethical (E): Following the rules of being being fair and honest.

7. Hypothesis (G): An educated guess or reasonable assumption.

8. Research (D): To conduct an investigation into current information about something.

9. Experiment (C): A test or trial performed in order  to discover something.

10.  Conclusion (K): The result or outcome of something.

11. Procedure (H): A sequence of steps involved in performing an experiment.

If this helps, please consider giving a thanks, a good rating, and Brainliest! Thanks!

What is the slope of the line that contains the points (-2, 7) and (2, 3)?
A. 4
O
B. 1
o
C. -1
D. -4
SUBMIT

Answers

Answer:

-1

Step-by-step explanation:

We can use the slope formula when given two points

m= ( y2-y1)/(x2-x1)

   = ( 3-7)/(2 - -2)

   = (3-7)/( 2+2)

   = -4/4

    = -1

Q7: Subtract

(a) -6x – 3 from 2x – 5,

(b) 6x – y + 5z from 10x – 2y + z,

(c) 8p + 99 – 5rs from 4p – 49 + 15sr,

(d) 8a – 3b + 50 – 4d from 10a – b - 40 - 8d.​

Answers

Here is your answer

If y varies directly as x, if y = 8 when x = 4, find y when x = 48

Answers

y=96 see explanation in attached photo

Of the males surveyed, what proportion selected small T-Shirt size

Answers

Answer:

this question doesn't make sense

Please help


If 100% = Rs. 120, then


A. 120% = Rs. 84
B. 20% = Rs. 84
C. 70% = Rs. 84
D. 30% = Rs. 84​

Answers

Answer:

Simple: C. 70% = Rs. 84

Step-by-step explanation:

cause it can't be 120% if Rs.120 is the 100%

{4x − 3y = −32x + 6y = −4 Solve the system of equations.
Input your answer as a point.

Otherwise, enter "No solution" or "Infinite number of solutions.

Answers

Answer:

Sorry I don't know that one

The points (4, -6) and (r, 6) lie on a line with slope 3. Find the missing coordinate r.

Answers

Answer:

r = 8

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to 3

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (4, - 6) and (x₂, y₂ ) = (r, 6)

m = [tex]\frac{6+6}{r-4}[/tex] = [tex]\frac{12}{r-4}[/tex] , then

[tex]\frac{12}{r-4}[/tex] = 3 ( multiply both sides by (r - 4))

12 = 3(r - 4) ← divide both sides by 3

4 = r - 4 ( add 4 to both sides )

8 = r

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