A line passes through (1, –5) and (–3, 7). a. Write an equation for the line in point-slope form. b. Rewrite the equation in slope-intercept form.

Answers

Answer 1

Answer:

Point-slope form: y + 5 = 13/-4 (x-1)

Slope-intercept form:

Step-by-step explanation:

Ok, so first to find the equation in point-slope form, you need to find the slope. So, the slope would be 7- (-5)/-3-1 , which is 13/-4. That is your slope, or m. Now, for point-slope form, you have the equation y - y1 = 13/-4 (x-x1). Now, you take one of your points, say (1, -5), and you put it into the equation. So your point-slope form equation would be y - (-5) = 13/-4 (x - 1). This would simplify to y + 5 = 13/-4(x - 1).

Now for slope-intercept form, you have m, the slope, which is 13/-4. Substituting that into the equation, you have y = 13/-4x + b. To find b, you substitute one of your coordinates into the equation. For example, (1, -5). Then you have -5 = (13/-4 * 1) +b. Simplify this, and you have b = -5+ 13/-4, which is -20/4 + 13/-4, which is -20/4 - 13/4 = -33/4. So your final equation is y = 13/-4x - 33/4.

Hope that helped.


Related Questions

Pocahontas opens a savings account with $640 dollars that earns 3.9% interest per year not compounded. How much money to the nearest penny will Pocahontas have in 8 years

Answers

Given:

Principal value = $640

Rate of interest = 3.9% not compounded

Number of years = 8

To find:

The amount after 8 years.

Solution:

It is given that the interest is not compounded. It means, we need to find simple interest.

Formula for simple interest:

[tex]I=P\times r\times t[/tex]

where, P is principal, r is rate of interest and t is time in years.

Put P=640, r=0.039 and t=8.

[tex]I=640\times 0.039\times 8[/tex]

[tex]I=199.68[/tex]

So, the interest is $199.68.

Now, amount after 8 years is

[tex]A=P+I[/tex]

where, P is principal and I is interest.

[tex]A=640+199.68[/tex]

[tex]A=839.68[/tex]

Therefore, the amount after 8 years is $839.68.

Find the A distance B between and .

Answers

Step-by-step explanation:

26 should be the answer

help please :)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))

Answers

Answer:

c

Step-by-step explanation:

you do 520 divided by two hours

Answer:

208

Step-by-step explanation:

Since it made 520 dives in 5 hours you divide 520/5 which is 104

For two hours you multiply 104*2 = 208

The line y−6=2(x+4) passes through which point?

A. (−4,−6)

B. (4,−6)

C. (−4,6)

D. (2,6)

show how u got it please lol

Answers

Answer:

4. (−4, 6), slope −2. eSolutions Manual - Powered by Cognero. Page 1. 4-2 Writing ... 4. (−4, 6), slope −2. SOLUTION: Find the y-intercept. Write the equation in ... Write an equation in slope-intercept form to find the total cost C for p people. b. ... b. Plot points and draw a line through them. c. Solve for G when t = 17.

latisha has 7 boxes with 21 shells in each box. she has 6 bags with 17 shells in each bag. she uses 18 shells to make a design. which of these expressions can latisha use to find how many shells are left

Answers

Answer:

231

Step-by-step explanation:

7x21=147

6x17=102

147+102=249

249-18=231

Answer: Letter D 7x21+6x17-18

Bye yw!

Please Help Me, Answer The Questions and I give you 100 Brainly Points

Answers

lol what’s the question

Answer:

Whats the question??? and then i can help you>>

Step-by-step explanation:

I need help ASAP!!!!!

Write the equation of the line in slope intercept form that has the given slope and the y-intercept

4). m=2;y-intercept is -6
5). m= -1; y-intercept is 3
6). m= -1/3; y-intercept is -1

Answers

Answer:

4). y= 2x - 6

5). y= -1x + 3

6). y= -1/3x - 1

Which statement best describes the graphed function?


A.
The function has a relative maximum at (-2,4) and a relative minimum at (2,-4).
B.
The function has a relative minimum at (-2,4) and a relative maximum at (2,-4).
C.
The function has an absolute maximum at (-2,4) and an absolute minimum at (2,-4).
D.
The function has an absolute minimum at (-2,4) and an absolute maximum at (2,-4).

Answers

Answer:

The function has a relative maximum at (-2,4) and a relative minimum at (2,-4).

Step-by-step explanation:

The graph's highest point is at (-2,4) which would be considered the relative maximum of the graph. The graph's lowest point is at (2,-4) which is the relative minimum. Therefore the relative maximum is at (-2,4) and the relative minimum is at (2,-4)

Answer:

The function has a relative maximum at (-2,4) and a relative minimum at (2,-4).

Step-by-step explanation:

Plato/Edmentum

What type of angles
eve these?


Linear pair
Acute
Complementary
Other:

Answers

They are supplementary angles.

hiii, this geometry please help

Answers

answer is 50!!!!!!!!!!!
B. 100



Explanation:


If you just look at it like a straight line then you know it equals 180° but since it’s cut into pieces we have to figure out the others first.

So on the triangle on the bottom it’s 50 and 50 so add those and subtract from 180 to find out what the third angle in the triangle is.
50+50=100
180-100= 80°
Now the angle to the right of the 60° is going to be 80 because they’re corresponding.
So, if the one side of the split line is 80 then the other must be 100°.

A man has $456.99 in his bank account. The man then writes a check for $45.99. How much money is in his account now?

Answers

Answer:

$411.00

Step-by-step explanation:

456.99-45.99

Drag the tiles to the correct locations. Each tile can be used more than once, but not all tiles will be used. One or more locations will
remain empty.
Nitrosyl fluoride has the chemical formula NOF. Nitrogen has five valence electrons, oxygen has six, and fluorine has seven. Complete the
Lewis structure for this covalent compound.

Answers

Answer:

.. .. ..

o = N - F :

.. ..

Under the N just leave empty

Step-by-step explanation:

The complete lewis structure for NOF covalent compound is rewritten as: O=N-F

What type of bond is in NOF (Nitrosyl fluoride)?

In a molecule of NOF, Oxygen is double bonded with Nitrogen. Nitrogen molecule of NOF is single bonded with flourine.

Rest of the valence electrons are not bonded.

Nitrogen's atomic number: 7, valence electron's count = 5Oxygen's atomic number: 8, valence electron's count = 6Florine's atomic number: 9, valence electron's count = 7

Thus, with the above said description we will get:

..         ..         ..  

O   =   N   -   F :

..                   ..

(double bond uses 2-2 electron of each atom).

Thus, the complete lewis structure for NOF covalent compound is rewritten as: O=N-F

Learn more about Lewis structure here:

https://brainly.com/question/4144781

Please help me, This is the only question I don’t understand pleas help me I would really appreciate it thank you!

Answers

Answer:

C

Step-by-step explanation:

A proportional equation is in the form:

[tex]\displaystyle y=kx[/tex]

Where y is the dependent variable, x is the independent variable, and k is the constant of proportionality.

An important aspect of a proportional equation is that it passes through the origin. That is, it has no y-intercept (or a constant value).

From our choices, the only choices that don’t have y-intercepts are C and D.

However, D is not a linear function.

Therefore, our answer is C.

And our constant of proportionality is 1/2.

In a survey of 500 people, 31% percent said they were afraid of flying what decimal represents the number of people who said they were afraid of flying?

Answers

Answer:

0.31

Step-by-step explanation:

Given that :

Total number surveyed = 500

Percentage who are afraid of flying = 31%

Decimal which represents number of people who are afraid of flying :

Converting 31% into decimal form:

31 / 100

= 0.31

Hence 0.31 of the people surveyed were afraid of flying

Nate bought a new pair of shoes that were on sale for 25% off. If the shoes were $5 originally, what is the sale price of the shoes?
its proportions btw

Answers

Answer:

The sale price would be $3.75

Step-by-step explanation:

5*25%=1.25

5-1.25=3.75

the sale price of the shoes would be $3.75 because 5÷4=1.25 and 5-1.25=3.75, unless you are including tax. hope you get a good grade!

solve for the indicated information solve for n

Answers

Answer:

n = 81

Step-by-step explanation:

The left angle in the upper triangle and 44° are Alternate angles and congruent.

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

n is an exterior angle of the upper triangle, thus

n = 44 + 37 = 81

Please mark brainliest !!!!!!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

um. its 70

Step-by-step explanation:

180-110.. parallel angels

Answer: 70°

Step-by-step explanation:

180-110 parallel angels

PLEASE HELP
Write equations of the horizontal and vertical lines that pass through the given
point.
12. (-3,-4)
Horizontal line:
Vertical line:

Answers

Answer:

horizontal line: y=-4

vertical line: x=-3

Step-by-step explanation:

This one is simple. all you need to do is look at the x and y in the ordered pair.

Horizontal goes left and right so it's for y

Vertical goes up and down so it's for x

let me know if you need more explaining :)

What does R mean in this

Answers

Answer:

Step-by-step explanation:

its 0 i think

answer = it means the statement has infinite solutions, because the equations are the same, the two sides of the equation will always equal each other

1) What would be another way to name plane M?
(picture attached)
A. plane KJH
B. plane J
C.plane HJG
D.plane GJN

Answers

Answer:

C. plane HJG

Step-by-step explanation:

hope this helped :-)

Thirty-five cents is what fraction, in simplest form, of a dollar?

Answers

Answer:

.35/100

Step-by-step explanation:

35 cents over 1.00

Answer:

7/20 is the simplest form

Step-by-step explanation:

What is the equation of the line that passes through (-1, -7) and has a slope of 2?

Answers

Answer:

y=2x + 5 I think it should be

A grid model with 100 squares. 20 squares are shaded.
Which fraction is equivalent to 20%?
StartFraction 1 Over 20 EndFraction
StartFraction 2 Over 20 EndFraction
StartFraction 4 Over 20 EndFraction
StartFraction 5 Over 20 EndFraction


Will give brainliest for answer!!

Answers

Answer:

4 over 20

Step-by-step explanation:

did on edg 2020

Answer:

c

Step-by-step explanation:

Please help me with this question I will give brainliest.
When you are dealing with a problem like this how do you solve it to make sure that the exponent is positive?
14 to the -4 power times 14 to the 7 power. I know that we will keep the base because they are the same but do I add or subtract the exponents?

Answers

Answer:

All you need to remember is the rules

Step-by-step explanation:

Let us remember

a to the m power x a to the nth power is = a to the m+n power. (add the exponents)

And

a to the m power ÷ a to the nth power is = a to the m-n power. (subtract the exponents) So

14 to the -4 power x 14 to the 7 power= 14 to the -4+7 which is equal to 14 to the 3rd power

This is actually really confusing please help me out.

Answers

Answer:

a ball bouncing off a wall

Step-by-step explanation:

Think of it like how if you would flash a flashlight at a mirror it would reflect off of it right? And it would go the opposite way. So it’s like a ball that u throw at a wall because a ball would bounce off the fall going opposite. I hope that makes sense. ^^

What is the area of this triangle?
5cm
4cm
3cm


Answers

Answer:

3cm

Step-by-step explanation:

It because every triangle has three edges so that is why it 3cm

Given the expression below, write an equivalent expression that does not contain parentheses.​

Answers

Answer:

-2x - 12 - 2

Step-by-step explanation:

Apply the distributed property: -2x - 12 - 2

I hope this helps!

The price of a television was reduced $250 to $200. By the percentage was the price of the television reduced?
A. 20%
B. 25%
C. 80%
D. 50%

please help I'm not good at math!!

Answers

Answer:

B. 25%

Step-by-step explanation:

The price decreased by 50, and that is 25% of 200.

Answer:

The answer is 20%

Step-by-step explanation:

I'm not amazing at percentages so this is what I did. Search up 20 percent of 250. Then it says 50. 250 minus 200 is 50, so the answer is 20%

I hope this helped and if it did I would appreciate it if you marked me brainliest.

thank you and have a nice day!

pls help with this one -4 divided by - 2/3

Answers

Answer:

6

Step-by-step explanation:

what you do is because you are dividing -4 by -2/3 you have to flip -2/3 to make it -3/2..

so ...

-4/ -2/3 = -4 x -3/2  ( so here you take -2/3 and flip it and multiply by -4)

now all you do is multiply

12/2 you get 6 ! HOPE this helped out alittle

Can someone please help me

Answers

Answer:

Step-by-step explanation:

difference of 10 and u = 10 - u

seven times the sum of twice a number m and 16 is 9 -

7 ( 2m + 16 ) = 9

5x + 6x -  sum of 5 times a number and 6 times a number

8 ( x - 7 ) = -35 - 8 times the difference of a number x and 7 is -35

Hope this helps

plz mark as brainliest!!!!!

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