write the equation of the line that passes through the points (3,1) and (-2,6) in slope intercept form

Answers

Answer 1

Answer:

y = - x + 4

Step-by-step explanation:

First find slope:

6-1/-2-3 = 5/-5 = -1

Then plug one point and slope into point slope form: y-y1 = k (x-x1)

Plug in (3, 1) and slope -1 --> y-1 = -1(x-3)

Simplify --> y - 1 = - x + 4

Then add 1 to both sides --> y = -x + 4


Related Questions

combine like the like terms
34w - 4g + 4g - 36w

Answers

the answer is -2w (i have the write at least 20 words to dont worry about this)

Answer:

-2w

Step-by-step explanation:

Like terms have same variable.

34w - 4g + 4g - 36w = 34w - 36w - 4g + 4g

                                  = - 2w + 0 = -2w

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=14(1.21)^x

Answers

Answer:

r:its a growth by 51%

Step-by-step explanation:

np

A rectangle has an area of 140m2.
One of the sides is 10m in length.
Work out the perimeter of the rectangle.

Answers

Answer:

40 m

Step by step explanation:

140/10 = 14m
10 + 10 + 14 + 14 = 48m

Henry and his little brother made up a game using coins. They flip the coins towards a cup and receive points for every one that makes it in. Henry starts with 15 points, and his little brother starts with 20 points. Henry gets 3 points for every successful shot, and his brother, since he is younger, gets 2 points for each successful shot. Eventually, the brothers will have a tied score in the game. How many additional shots will each brother have made?
Write a system of equations, graph them, and type the solution.

Answers

Answer:

After 5 additional shots, the brothers will have a tied score.

Step-by-step explanation:

find equations

henry:

y-int is 15 because that is the starting number. the slope is 3 because that is how much his points are increasing for every successful shot. we can use this information to form this equation:

y = 3x + 15

brother:

y-int is 20 because that is the starting number. slope is 3 because that is how many points he gets for each successful shot. using this information, we can form the following equation:

y = 2x + 20

--

solve

y = 3x + 15

y = 2x + 20

3x + 15 = 2x + 20

x + 15 = 20

x = 5

--

graph

(just use desmos)

PLEASE HELP ME!!! jacky starts biking to meet up with her friend. she knows that if she bikes at a speed of 10 mph, she will be 3 minutes late. jacky also know that if she bikes at a speed of 12 mph, she will be there 2 minutes before they agree to meet. how much time does she have left before the appointed time?

Answers

Answer:

27s

Step-by-step explanation:

d = distance to rendezvous point in miles

t = time of arrival at 10mph, i.e. 3 mins later than appointed time

10 mph = 10 miles per hour = ¹/₆ miles per min

12 mph = ¹/₅ miles per min

t = d/(¹/₆)

t = 6d

5 min = ¹/₁₂ hr

t - ¹/₁₂ = d/(¹/₅)

t = 5d + ¹/₁₂

Elimination of t:

6d = 5d + ¹/₁₂

d = ¹/₁₂ mi

t = 6(¹/₁₂)

t = ¹/₂ min

Time left to appointed time = ¹/₂ - ³/₆₀

= ¹⁰/₂₀ - ¹/₂₀

= ⁹/₂₀.min → 27 seconds

Answer:

27 min

Step-by-step explanation:

rsm

The cost of admission to a festival was $112 for 9 children and 3 adults. The admission was $108 for 8 children and 3 adults in another festival. How much was the admission for each child and adult?

Answers

Answer:

cost of admission for each child was $4.00, and each adult was $25.33

Step-by-step explanation:

When solving questions like these , I like to break down the problem so I understand it better.

Let x ---> cost of the admission for each child

Y ---------> cost of the admission for each adult

9x+3y = 112 ---> equation A

8x + 3y = 108 ---> equation B

Subtract B from A

9x+3y=112

-8x+3y = 108

x = 112-108

x = 4

Find value of y by substituting value of x into equation

9(4)+3y=112

Solve for y

36+3y = 112

3y = 112=36

3y = 76

y = 25.33

1/2 divided by (-3) please help

Answers

Answer:

-1/6

Step-by-step explanation:

apply fraction rule to get 1/2(-3)

Multiply the numbers to get 1/-6

apply fraction rule to move negative to make

-1/6

1/2 divided by (-3) = -1/6 or -0.1666666667.

fill in the blank with the letter of the description that best matches the term for the verb porter, match the subject pronoun with the correct form of the verb. i'll mark Brainliest if the answers are correct.

A. portons
B. porte
C. portez
D. portes
E. portent
FILL IN THE BLANK

je ____
tu ____
nous ____
vous ____
ils ____

Answers

Step-by-step explanation:

je........porte

tu.......portes

nous.......portons

vous........portez

ils......portent

Find the exact circumference.

Answers

Answer:

25π

Step-by-step explanation:

C= πd

d=√(24²+7²)=√(576+49)=√625=25

C=25π

Answer:

Step-by-step explanation:

First off, divide 24 by 2 as that would give you the radius of the circle

24cm / 2cm = 12cm

Next, use the formula to calculate the circumference of a circle and plug in radius:

C = 2 x π x r

   = 2 x π x 12cm

   = 75.40cm is the circumference

i need help what is the answer

Answers

-4 because they are both the y axis

I don't understand this question, can someone help please?
Devon wants to write an equation for a line that passes through 2 of the data points he has collected. The points are (8, 5) and (–12, –9). He writes the equation
7x – 10y = 3. Is this a good model? Explain your reasoning.

Answers

Answer:

No. Correct is 7x - 10y = 6.

Step-by-step explanation:

The slope of the line is (-9-5)/(-12-8) = 7/10

y - 5 = 7/10(x - 8)

10y - 50 = 7(x - 8)

10y - 50 = 7x - 56

7x - 10y = -50 + 56

7x - 10y = 6.

Answer:  No, it's not a good model

Explanation:

Let's plug in x = 8 and y = 5. This is directly from the ordered pair (8,5).

7x - 10y = 3

7*8 - 10*5 = 3

56 - 50 = 3

6 = 3

We get a false equation at the end, which means the original equation is false when (x,y) = (8,5). Therefore, the point (8,5) is not on the line 7x-10y = 3. Furthermore it means that 7x-10y = 3 is not a good model since Devon wanted the line to pass through both given points.

If you were to plug in (x,y) = (-12,-9), then you would find the same thing happens. For each ordered pair, the left side results in 6. So if Devon were to change that "3" to "6", then it would be a good model as both points would be on the line. In other words, the standard form equation Devon should use is 7x-10y = 6. When solving for y, Devon would get y = (-7/10)x - 3/5

Below is visual confirmation that 7x-10y = 3 is not a good model. Both points are not on the line. The graph was made using GeoGebra.

A delivery company's charge for an overnight package weighing in excess of one pound is given by the formula c= 2.53w + 15, 16
where w is the weight of package in pounds. Find the following.

Answers

What’s the question or equation? Is there a picture?

PLEASE READ THIS!!! Don't answer my questions with a link. Someone already answered this question, but they gave me a link and it was blocked on my school Chromebook, so it was an entirely useless answer. Thank you. If you answer this question without using a link I will give you an easy to earn 100 points. I just need to know how to turn this shape into as many triangles as possible. Thank you for reading this message.

Answers

Answer: 9 triangles

Step-by-step explanation:

3. A gym charges a fee of $15 per month plus an additional charge for every group class
attended. The total monthly gym cost T can be represented by this equation: T = 15+c*n,
where c is the additional charge for a group class, and n is the number of group classes
attended
Which equation can be used to find the number of group classes a customer attended if we
know c and T?
a. n = I - 15
N
b. n=1 – 150
c. n = (T - 15) - C.
(T-15)
d. n=
1

Answers

Answer:

Option D)  [tex]\huge\sf{n\:=\:\frac{(T\:-\:15)}{c}}[/tex]

Step-by-step explanation:

Given the equation, T = 15 + c × n, where:

T = represents the total monthly gym cost

c =  represents the additional charge for a group class, and

n = represents the number of group classes attended

Solution:

In order to determine which equation can be used to find the number of group classes a customer attended, if there are given values for c and T, we must isolate the variable, n  algebraically.

The first step is to subtract 15 from both sides:

T = 15 + c × n

T - 15 = 15 - 15 + c × n

T - 15 = c × n

Next, divide both sides by c to isolate n :

[tex]\huge\mathsf{\frac{({T\:-\:15})}{c}\:=\:\frac{{c\:\times\:n}}{c}}[/tex]

[tex]\huge\sf{n\:=\:\frac{(T\:-\:15)}{c}}[/tex]

Therefore, the correct answer is Option D) [tex]\huge\sf{n\:=\:\frac{(T\:-\:15)}{c}}[/tex].

What is the common ratio of the sequence 3, 21, 147, … ?
7
Which formula can be used to find the nth term of the sequence 3, 21, 147, … ?


Use the given formula to find the indicated terms of the sequence.

a4 =
1029
a5 =
7203

Answers

It is 7, C,
A= 1029
B=7203

Answer:

What is the common ratio of the sequence 3, 21, 147, …?  

7

Which formula can be used to find the nth term of the sequence 3, 21, 147, …?

c)

Use the given formula to find the indicated terms of the sequence.

a4 = 1029

a5 = 7203

Step-by-step explanation:

Answers for all three questions<3

(2x+y)2-y2 if x=-3 y=4 and z=-5

Answers

Answer:
-12
Hope this helps!
So your equation it (2x+y)2-y2 so then you will substitute meaning your equation will now be 2(-3)+4*2-(4)2 and I assume it’s squared and there is a lot of things missing but I get -6+8-16 all together it would be 14 that’s what I get at least

Use the information given to find the equation of the line using the point-slope formula (y-y_1)=m(x-x_1)). Then convert your answer to slope-intercept form (y=mx+b).

y-intercept of 2 and (4,-1)


If it's possible please a explanation on how you solved it.

Answers

Answer:

y=[tex]-\frac{3}{4}[/tex]x+2

Step-by-step explanation:

y=sx+2;

-1=4s+2;

s=-3/4;

y=[tex]-\frac{3}{4}[/tex]x+2

see question in attached photo.​

Answers

Answer:

b = 2

Step-by-step explanation:

We know that:

a/b + c/d = (ad + bc)/bd

We observe the denominator of the first expression is same as the product of the denominators of the second expression.

Compare the numerators and solve for b:

5(x - 1) - 4(x - b) = x + 35x - 5 - 4x + 4b = x + 3x - 5 + 4b = x + 34b - 5 = 34b = 8b = 2

A car travels at a constant speed of 56 mph for 2 hours. How far does the car travel in this
time?

Answers

Most definitely 5.75 or less than

A classroom has 12 girls for every 4 boys. What is the ratio of boys to total students?

Question 7 options:

4 : 16


12 : 4


4 : 12


12 : 16

Answers

Answer:

I don't understand please elaborate more your given question.

Step-by-step explanation:

what’s the slope for this

Answers

Answer:

-2

Step-by-step explanation:

One batch of pink paint uses `2` cups of red paint and `7` cups of white paint. Mai made a large amount of the same color pink paint using `14` cups of red paint. .

Answers

It’s a magnification so it’s 2 pots of red paint and 7 pots of white paint we ask you to do the same with 14 pots of red paint you notice that it’s 7 times bigger than 2 so you have to put 7 times more white paint and the answer is 21

Today everything at a store is on sale the store offers a 20
% discount the regualr price of a t shirt is 18 what is the discount price

Answers

Answer:

$14.40 is the discount price.

Step-by-step explanation:

0.2 x 18 = 3.6

18 - 3.6 = 14.4

Please help ASAP !!!

THANKS!!

Answers

Answer:

rotation

Step-by-step explanation:

Answer:

Reflection

Step-by-step explanation:

I think its reflection because if you reflect them across the y axis then the x axis I believe they will be in those positions.

HELP ME PLEASE RNNN FASTTT

Answers

Answer:

The first three are functions

Step-by-step explanation:

4th one fails the Vertical line test.

how do you translate nine equals the quotient of a number and 54

Answers

Answer:

9 = [tex]\frac{n}{54}[/tex] or n ÷ 54

Step-by-step explanation:

nine equals the quotient of a number and 54

       /\

9 = the quotient of a number and 54

             /\

9 =       will be division of a number and 54

                                /\

                    9 = [tex]\frac{n}{54}[/tex] or n ÷ 54

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer all of the following questions. 3 Points a question. ALSO NO LINKS!

Is 2 a prime number?
Is 3 a prime number?
Is 11 a prime number?
Is 18 a prime number?
Is 20 a prime number?
Is 27 a prime number?

Answers

Answer:

no

yes

yes

no

no

yes

Step-by-step explanation:

a prime number cant be devided by any thing other than itself or one

Answer:

Step-by-step explanation:

Is 2 is 3 is 11 is 18 is 20 is 27

What is the justification for each step in the solution of the equation?

5x−42=2x−1

Answers

Answer:

39.6

Step-by-step explanation:

collecting like terms we have:

5x-2x=-1+42

equating the terms..we have:

3x=41

divide both sides by the Co-efficient of x:

3x\3=42\3

x=39.6

Answer:

What is the justification for each step in the solution of the equation? 5x−4/2=2x−1 Select from the drop-down menus to correctly justify each step. 5x−42=2x−1 Given 5x−4=2(2x−1) Choose. 5x−4=4x−2 Choose. 5x=4x+2 Addition or Subtraction Property of Equality x=2 Choose. Options Addition or subtraction property of equality Multiplication or division property of equality Distributive property of.

__________________________________________________________

5x−4/2=2x−1

Select from the drop-down menus to correctly justify each step.

5x−42=2x−1 Given

5x−4=2(2x−1) Choose.

5x−4=4x−2 Choose.

5x=4x+2 Addition or Subtraction Property of Equality

x=2 Choose.

Options

Addition or subtraction property of equality

Multiplication or division property of equality

Distributive property of equality

Combine like terms

The “/” Is for a fraction

x=5 and y=7

9y+x= ?

i need help );​

Answers

Answer:

Step-by-step explanation:

All we need to do is substitute the y and x. This would then look like:

9y + x =

9 × 7 + x =

9 × 7 + 5.

Can you solve it from here?

Pls help.......
[tex]100 - j = j - 40[/tex]

Answers

100 - j = j - 40

100 + 40 = j + j

140 = 2j

140/2 = j

70 = j

_____

RainbowSalt2222 ☔

J=70
100-70=30
70-40=30
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