A line is drawn so that it passes through the points (-3, -1) and (4, 2).

a. What is the slope of the line?

b. Using the point (4, 2) and the slope found above, write the equation of the line in point-slope form.

Answers

Answer 1

Answer:

y - 2 3/7 (x-4)

Step-by-step explanation:

A) To find slope, use the equation:where  and  are the x and y values of one coordinate point  , and  and  are the x and y values of another coordinate point . Since we are given two coordinate points, (-3,-1) and (4,2), that means we can find the slope using the slope equation.  

Let's choose (4, 2) as your  point and (-3, -1) as your  point, but you can switch those if you want! That makes  and x^1 = -3, y1 = -1 . Plug these values into the slope equation:

The slope of the line is 3/7.

B) Remember that the general equation for point-slope form is, where m = the slope,  = the x value of a coordinate point on the line, and  = the y value of the same coordinate point on the line.  

You are given (4, 2) as one of the coordinate points. That means  = 4 and  = 2. We found the slope, m =  in part A. Now plug these values into the general equation for point-slope form to find your point-slope form equation:

Your point-slope form equation is y - 2 3/7 (x-4).

Answer 2

Answer:

a. 3/7 b. y=3/7x+2/7

Step-by-step explanation:

(-1-2)/(-3-4)=3/7

slope is 3/7

apply point for answer

2=3/7(4)+n

n=2/7

apply

y=3/7x+2/7


Related Questions

Write an equation that represents this question below ...

Answers

Where’s the question????

Tell whether each sequence is arithmetic. Justify your answer. If the sequence is arithmetic, write a recursive formula and an explicit formula to represent it.

1. 0.3, 0.9, 1.5, 2.1

2. 1, 8, 27, 64

Answers

Step-by-step explanation:

an arithmetic sequence is when every new term is created by adding a certain constant to the previous term.

1. is an arithmetic sequence. the constant is 0.6.

0.3 + 0.6 = 0.9

0.9 + 0.6 = 1.5

1.5 + 0.6 = 2.1

...

so, we have

a1 = 0.3

an = an-1 + 0.6

and

an = a1 + (n-1)×0.6 = 0.3 + (n-1)×0.6

2. is neither an arithmetic nor a geometric sequence.

it is simply

an = n³

Triangle ABC is similar to triangle EFD. What
scale factor is required to dilate triangle ABC
so that its image, A'B'C', is congruent to
triangle EFD?

Answers

EFD the the nearest number balance it to 12/15

jamelia paid $8.40 for sliced turkey the amount she bought was 2.40 lb how much did jamelia pay per pound for the sliced turkey​

Answers

The answer should be $3.50.
This is because $8.40 / 2.40lb = $3.50

HELPPPPP!!As soon as possible

Answers

Answer:

answer is D :

√24 = 4.89

which is the nearest to 5 and possible answer

If d varies directly as t and d=20.5 when t =12 find the value of constant

Answers

Answer:

12÷20.5= 0.5953658537

Class A was given a sunflower with a height of 8 centimeters that grows at a rate of 3 1/2 centimeters per week. Class B was given a sunflower with a height of 10 centimeters that grows at a rate of 3 1/4 centimeters per week. After how many weeks are the sunflowers the same height?

Answers

Answer:

8 weeks

Step-by-step explanation:

Since we know that the sunflower in Class B has a rate of 1/4 less, we know that it will eventually catch on to sunflower A.

First, we have to look at the difference which is 2. How many 1/4ths makes 2?

8.

Therefore, 8 weeks would be your answer.

-kiniwih426

Solve the simultaneous equations
x + y = – 6
-x + 2y = 15

Answers

Answer:

x = -9, y = 3

Step-by-step explanation:

I hope it helps!

The population density of Peru one year was approximately 23 people per square kilometer. Brazil has a land area of approximately 8. 5 million square kilometers. If Brazil had the same population density as Peru that year, approximately how many people were living in Brazil? 370,000 people 2,700,000 people 31,500,000 people 195,500,000 people.

Answers

Answer:

195,500,000 people.

Step-by-step explanation:

8.5 mil times 23 equals 195,500,000

!!!!!!!!!!!!!!!!!!!!!!!!!#

Answers

[tex]\large\red{┈──┈──┈──┈──┈──┈──┈──┈──┈─}[/tex]

The best option is letter C. t = 2h + 32

C. t = 2h + 32

How did the Twenty-fourth Amendment to the Constitution affect African Americans?



A. By defining citizenship, it meant all African Americans were entitled to due process.


B. By allowing citizens to directly elect senators, it gave African Americans a greater voice in the government.


C. By banning slavery, it meant millions of African Americans were free from bondage.


D. By eliminating poll taxes, it meant more African Americans could vote.

Answers

Answer:

The answer is D,..................

Step-by-step explanation:

D

PLEASE HELP IM FAILING

Find the output for the relation with the given input. If there is no possible output for the given input explain why not​

Answers

Step-by-step explanation:

[tex]f(x)=\frac{x}{x-1}[/tex]

To evaluate this function at [tex]x=1[/tex], just substitute 1 in for x:

[tex]f(1)=\frac{1}{1-1}=\frac{1}{0}[/tex]

There is no possible solution at [tex]x=1[/tex] because the value is undefined. You cannot divide by 0.

If x = 100, what is the value of x(x-4)?

Answers

Answer:

9,600

Step-by-step explanation:

100-4 is 96

96 times 100 is 9600

9600 I’m sure stay safe

5x+y=-2y-31. 2y+10=-4x-12

What is the X and Y

Answers

Answer:

x= -0.1818

y= 10.6363

Step-by-step explanation:

One hundred students are assigned lockers 1 through 100. The students assigned to locker 1 opens all 100 lockers. The student assigned to locker 2 closes all lockers that are multiples of 2. The student assigned to locker 3 changes the status of all lockers ( e.g., locker 3 is open gets closed and locker 6 that is closed gets opened) The student assigned to locker 4 changed the status of all lockers whose multiples of 4, and so on for all 100 lockers. What lockers will be left open?

pls help this is due tmrw

Answers

Answer:

Lockers 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100 are left open!

Without solving the system of equations how can you
determine if the two systems have the same solution?
3x + 6y = 12
x+y = 7
And
6x +12y = 24
x + y = 7

Answers

Answer:

Step-by-step explanation:

First Pair.

If you divide the top equation by 3 you get

x + 2y = 12

x + y = 7          From that I get that y = 5

Second pair

Do the same thing to the top equation only this time divide by 6

x + 2y = 4                

x + y = 7

If you subtract again you get y = - 3

Determine the zeros for x2 + 7x − 20 = 6x.

Answers

Answer:

= 4

or

= −5

Step-by-step explanation:

Answer:

[tex]x=-5[/tex] and [tex]x=4[/tex]

Step-by-step explanation:

[tex]x^2+7x-20=6x[/tex]

[tex]x^2+7x-20-6x=6x-6x[/tex]

[tex]x^2+x-20=0[/tex]

[tex](x+5)(x-4)=0[/tex]

[tex]x=-5[/tex] and [tex]x=4[/tex]

Paul wanted to bring his family to the Children’s Museum. There was an exhibit with carnival rides. The tickets for each ride were $1.35 per ticket. Paul purchased 30 tickets for the rides and spent a total of $46.85 at the museum. Paul spent his money only on ride tickets and admission. The price of the museum admission is the same for everyone. (a) Define your variables. (b) Write a linear equation that can be used to determine the cost for anyone who only pays for tickets and museum admission. Use y to represent the total cost and x to represent the number of ride tickets. (c) Explain your answer to Part 1b.




Do NOT say you don't know, include files, or anything else. I need real answers not people faking answers to get points.

Answers

We want to define and solve a linear equation to model the given case.

The answers are:

a) x = number of tickets, y = total cost.

b) y = $1.35*x + $6.35

We know that:

The tickets for each ride were $1.35 per ticket.

Paul purchased 30 tickets

He spent a total of $46.85 (on tickets and admission)

The cost for the 30 tickets is:

30*$1.35 = $40.50

a) Now we can define two variables:

y = total cost

x = number of tickets

b) the linear equation would be:

y = $1.35*x + P

Where P is the price of admission.

And we know that the total cost for 30 tickets is $46.85, then we have:

$46.85 = $40.50 + P

$46.85 - $40.50 = P = $6.35

So the admission price is $6.35

This means that the linear equation is:

y = $1.35*x + $6.35

c) Brief explanation, we have the variable y that represents the total cost, it is equal to the admission price (which we found) plus $1.35 times the number of tickets bought (x).

If you want to learn more, you can read:

https://brainly.com/question/13738061


Express as a power of 2
(2/root8)^3

Answers

[tex]\left(\dfrac{2}{\sqrt 8} \right)^3\\\\\\=\left(\dfrac{2}{2\sqrt 2} \right)^3\\\\\\=\left(\dfrac 1{\sqrt 2} \right)^3\\\\\\=\left[\left(\sqrt2 \right)^{-1} \right]^3\\\\\\=\left(\sqrt 2 \right)^{-3}\\\\\\=\left(2^{\tfrac 12} \right)^{-3}\\\\\\=2^{-\tfrac 32}[/tex]

When we round 7.80576 to 3s f, it is equal to:​

Answers

3 SF means you want to include 3 digits including zeros.
So answer is 7.81 (round the zero to 1 as the number after is 5 and above.
In scientific notation it is 7.81 e 0

a car travels at a constant speed for 2 hours. what is that speed miles per hour

Answers

Answer:

Distance/2 hours

Step-by-step explanation:

Distance=Speed times Time, and since the time is 2 hours, we can say Distance=Speed times 2 hours.

Now we divide both sides by 2 hours, resulting in Distance/2 Hours= Speed.

DUBS

Please consider a brainliest!

pls help me find the answer-

Answers

Answer:

answer in pic, hope it helps

I need this answer also. As fast as possible!!! Please please

Answers

Answer:

See below:

Step-by-step explanation:

The term [tex]f(x)[/tex] is used to show the function of x and is essentially the same as y in some cases. One being right now.

So we know the function [tex]T(n)[/tex] and we know that we want to solve for [tex]T(12)[/tex].

So what we can do, is input 12 as n in the original function.

Therefore, we get [tex]T(12)=\frac{2}{3} (12) + 3[/tex]

Using algebra, we can solve it and we get 11!

Cheers!

210 is the product of − 14 and x

Answers

Answer:

-14 and -15

Step-by-step explanation:

When you multiply two negative numbers together, it will equal a positive number

Pre-Algebra simple question​

Answers

Step-by-step explanation:

multiplication

yep that is the answer

Answer:

multiplication should be used

find the percentage change and classify as an increase or decrease

2004 cost: $18.77
2006 cost: $19.17

Answers

Answer:

this is 2% increase

Step-by-step explanation:

to find percent change,

big - small

---------------

original

19.17-18.77

-------------- = 0.021

18.77

round: 0.02 or 2%

find the unknown angle ​

Answers

Answer:

total angles in triangle = 180

180 = 44+56+ y

y = 180-44-56

y = 80°

now to find z and x

we know the 2 straight lines are parallel (indicated by arrows)

x = 56°

z = 44°

how?

alternate angles theorem

Alternate angles are angles that occur on opposite sides of the transversal line and have the same size. Alternate angles are equal: We can often spot interior alternate angles by drawing a Z shape: There are two different types of alternate angles, alternate interior angles and alternate exterior angles.

Which graph best represents the solution set of y + 8/3x > 4

Answers

Which graph best represents the solution set of y + 8/3x > 4 ?

Letter D. is the answer :)

Hope It's Help

please help please help

Answers

Answer:

35

Step-by-step explanation:

It is asking you for the absolute value which is the distance from zero. Picture it on a number line. It is 35 spaces from zero.

I hope this helps!!!

Answer:

C)  35

Step-by-step explanation:

The absolute value of a number can be thought of as the distance the number is from zero on a number line. A distance is never a negative number. It can be zero or a positive number.

Asking what is |-35|, the absolute value of -35, is the same as asking "how far is -35 from zero on a number line?" The answer is 35.

To find the absolute value of a number do this:

If the number is zero, then its absolute value is 0. |0|= 0

If the number is positive, then the absolute value is just the number. For example, |9| = 9

If the number is negative, then just drop the negative sign. Example: |-3| = 3

Susie has 5/8ths of a gallon of tea and needs to fill as many glasses as possible. If each glass holds 2/7ths of a cup, how many glasses can she fill? Hint: One gallon is the same as 16 cups. Pls hurry! Will mark brainliest.

Answers

Answer:

35 glasses

Step-by-step explanation:

Susie has 5/8 gallon = 5/8 * 16 = 10 cups

10 cups ÷ 2/7 cups per glass = 35 glasses

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