Find the equation of a line that passes through the points (1,-5) and (3,-6).
Leave your answer in the form y =mx+c

Answers

Answer 1

Answer:

y = - [tex]\frac{1}{2}[/tex] x - [tex]\frac{9}{2}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

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

with (x₁, y₁ ) = (1, - 5) and (x₂, y₂ ) = (3, - 6)

m = [tex]\frac{-6+5}{3=2}[/tex] = - [tex]\frac{1}{2}[/tex] , then

y = - [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (1, - 5 ) , then

- 5 = - [tex]\frac{1}{2}[/tex] + c ⇒ c = - 5 + [tex]\frac{1}{2}[/tex] = - [tex]\frac{9}{2}[/tex]

y = - [tex]\frac{1}{2}[/tex] x - [tex]\frac{9}{2}[/tex] ← equation of line


Related Questions

David performed the following mathematical operation:
x+5
+9x-5
2x-
:-1)2x² +9
He was left with a remainder of zero. Which of the following statements must
be true?
A.
must be a root of the polynomial 2x² +9x-5.
o
B. O must be a root of the polynomial 2x² +9x-5.
O c.
must be a root of the polynomial 2x² +9x-5.
D. 5 must be a root of the polynomial 2x² + 9x-5.

Answers

Answer: C: x = 1/2

Step-by-step explanation:

The solution is , O c. 1/2 must be a root of the polynomial 2x² +9x-5.

What are Polynomials?

Polynomials are sums of k-xⁿ terms, where k can be any number and n can be any positive integer.

here we have this:

Considering the provided mathematical operation, we are going to identify wich is the correct statement, so we obtain the following:

Since the remainder is zero, it means that setting the divisor and quotient equal to zero gives us the roots, then we have:

2x-1=0

2x=1

x=1/2

and, we have,

x+5=0

x=-5

Finally we obtain that the roots are 1/2 and -5, then the correct answer is the option C.

Hence, The solution is , O c. 1/2 must be a root of the polynomial

2x² +9x-5.

Know more about Polynomials here:

brainly.com/question/2833285

#SPJ7

9 is added to a number and multiplied by 7. The result is 84.​

Answers

Answer:

12 because 9+3 = 12 12 • 7 = 84

Step-by-step explanation:

Hopes this helps. Mark as brainlest plz!

Answer:

the number is 3

Step-by-step explanation:

X= the number

7(x+9) = 84

7x+63 = 84

7x = 21

x=3

     Check:

    7(3+9) =84

      7 x12 = 84

       84=84

Plz help, its worth 200 points by today

Answers

Answer:

[tex]X = \sqrt{39}[/tex]

Step-by-step explanation:

[tex]1)\ X^2 + 5^2 = Y^2\ (Y\ is\ the\ hypotenuse\ of\ the\ smaller\ triangle)[/tex]

[tex]2)\ Y^2 + 6^2 = 10^2[/tex]

[tex]3)\ X^2 + 25 + 36 = 100[/tex]

[tex]4)\ X^2 = 39[/tex]

[tex]5)\ X = \sqrt{39}[/tex]

Answer:

X = [tex]\sqrt{39}[/tex]

Step-by-step explanation:

Can someone plz help me out with this I will really appreciate it no links plz

Answers

Answer:

B

Step-by-step explanation:

1) use a proportion to find how many students chose pizza

30 : 100 = x : 80

x = (80 x 30)/100 = 24

2) use a proportion to find how many students chose salad

10 : 100 = x : 80

x = (80 x 10)/100 = 8

3) solve the question

24 - 8 = 16

Answer:

12 STUDENTS CHOSE HAMBURGERS

24 STUDENTS CHOSE PIZZA

16 STUDENTS CHOSE SANDWHICHES

20 STUDENTS CHOSE HOT DOGS

8 STUDENTS CHOSE SALAD

24 = PIZZA

8 = SALAD

8 - 24 = 16 SO B

i dont know why everything i capitilized sorry haha

Step-by-step explanation:

show work pls, WILL GIVE BRAINLIEST
(3/5)x+2/5=7

Answers

3/5x+2/5=7
-2/5 -2/5
3/5x = 6 3/5
/3/5. /3/5
X=11

Two containers are used to hold liquid. These containers have exactly the same shape. The first container has a height of 8 m , and it can hold 256 m^3 of liquid. If the second container has a height of 18 m , how much liquid can it hold?
Don't send links or I'll report

Answers

Answer:

i have explained in this picture

Step-by-step explanation:

Solve: 7×-4=-8×+8
hurry!​

Answers

The answer to your question is X=4/5




Answer:

x = 4/5

FILLER FILLER FILLER

16 points helllppppppppppppppp

Answers

12.3, the mean is the biggest number of the group

If A and B are mutually exclusive events then the probability of A happening OR the probability of B happening is P(A) + P(B).

Answers

Answer:

a

Step-by-step explanation:

just did it

Whats the difference between a subset and a proper subset? {5,8} {2,5,8} Is {5,8} a subset of {2,5,8}.

Answers

Answer:

[tex]\{5,8\}[/tex] is a subset of [tex]\{2,5,8\}[/tex]

Step-by-step explanation:

Required

Difference between subset and proper subset

To answer this question, I will use the following illustration.

[tex]A = \{1,2,3\}[/tex]

[tex]B = \{2,3\}[/tex]

[tex]C = \{1,2,3\}[/tex]

In the above sets, set B is a proper subset of set A because all elements of B can be found in A, but not element of A can be found in B.

Set C is a subset of A because [tex]A = C[/tex]

Using the above illustration, we have:

[tex]\{5,8\}[/tex] and [tex]\{2,5,8\}[/tex]

[tex]\{5,8\}[/tex] is a subset of [tex]\{2,5,8\}[/tex], because 5 and 8 are in [tex]\{2,5,8\}[/tex] but 2 which ca be found in [tex]\{2,5,8\}[/tex] is not in [tex]\{5,8\}[/tex]

Use the graph to identify whether there is linear association, nonlinear association, or no association.

Answers

Answer: linear

Step-by-step explanation

Answer:

first option

Step-by-step explanation:

have a good day

Which has a different answer? A. 7 + 2 - 4 , B. 2 + 7 - 4 , C. 7 - 4 + 2 , D. 4 + 7 - 2

Answers

Answer:

d) 4 + 7 - 2

Step-by-step explanation:

7 + 2 - 4 = 5

2 + 7 - 4 = 5

7 - 4 + 2 = 5

4 + 7 - 2 = 9

Answer:

Step-by-step explanation:

4+7=2

What is the value of "x"?​

Answers

Answer:

my first thought was B but C has 2 similarities in 2 answered B is 4 D is 7.5, but C has a 4 and a .5 so try C

Answer:

Option C, 4.5

Step-by-step explanation:

We can say that;

8/6 = 6/x

=> [tex]\frac{8}{6} x=6\\[/tex]

=> x = [tex]\frac{6}{(8/6)}[/tex]

=> x = 4.5

Hope this helps!

What’s 2+1 come on answer it

Answers

3 ......................

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

[tex]2 + 1 \\ = (1 + 1) + 1 \\ = 1 + 1 + 1 \\ = 3[/tex]

Please help







Thanks I really need help and appreciate it

Answers

Answer:

umm can you tell us the options then I can say what the answer is and I'll edit or put it in the comments

Step-by-step explanation:

have a good rest of your day tho :) ❤

Bem-
Find the value of the y-intercept of the line whose equation is 20x - 22y = 88.
NEXT QUESTION
ASK FOR HELP

Answers

Answer:

(0,-4)

Step-by-step explanation:

Just enter the equation into desmos and then find where the line meets the y-axis, which is the line that comes down the middle.

(0,-4) will be your answer

3a-2b=14. 3a+2b=28
..​

Answers

Answer:

a = 7

b = 3 1/2

Step-by-step explanation:

if you add the equations together then the 'b' will zero out

6a = 42

a = 7

substitute 7 for 'a' to solve for 'b'

3(7) - 2b = 14

21 - 2b = 14

-2b = -7

b = 7/2 or 3 1/2

А
B.
Which of the following statements is/are true regarding the figure above?
Check all that apply.
U
A. It is a two-dimensional object.
B. It is a line segment.
C. It is a polygon.
D. It is a one-dimensional object.

Answers

Answer:

A.

C.

Step-by-step explanation:

the shape is a 2d shape and is a polygon as a polygon needs at least 3 straight sides

Please help with this math ;-;

Answers

Answer:

592

Step-by-step explanation:

Surface area of a rectangular prism = 2lw + 2lh + 2wh

where w = width, h = height and l = length

These are the given dimensions...

length = 12 cm

width = 8 cm

height = 10 cm

To find the surface area we plug in the given values into the formula

[tex]SA=2(12)(8)+2(12)(10)+2(10)(8)\\12*8=96\\96*2=192\\12*10=120\\120*2=240\\10*8=80\\80*2=160\\160+240+192=592[/tex]

Hence, the surface area of the rectangular prism is 592

Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.

Answers

Step-by-step explanation:

4) a) add up to +5x

b) multiply to -14

5) x^2 - 4x + 3 = (x - 3)(x - 1)

For which of the funds shown would you pay the most commission on the purchase of 100 shares?
a. Green Energy
b. TJH Small-Cap
c. Upton Group
d. WHI Health​

Answers

Answer:

its A just got it right

Step-by-step explanation:

Every quadrilateral has a line of symmetry.

true

False

Answers

Answer:

false, a parallelogram does not have any lines of symmetry

Step-by-step explanation:

Hurry!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

aa, ca, ac, cc

Step-by-step explanation:

The circumstances of a circular painting is 9.42 feet what is the diameter of the painting use pi

Answers

R2= 4.71
3.14x 4.71x4.71= 69.65

I need some help what is 1000 x 3.67 and with explaining thank you so much

Answers

Answer:

3670

Step-by-step explanation:

In 1000, there are 3 zeroes

So when multiplying by 3.67(or 3.670), you just move the decimal 3 places to the right

3.670 =36.70 = 367.0 = 3670.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

What’s 2+2 I need a whole explanation with calculations and examples come on

Answers

Answer:

4

Step-by-step explanation:

2+2

=4

Answer:

The real answer

Step-by-step explanation:

hii! i’ll give brainliest pls help

Answers

Answer:

the answer's option 3 * landslide *

Step-by-step explanation:

-

Answer:

Option 3

Step-by-step explanation:

A landslide is the most occurring disaster for people living in hills

Hope it helps

A. There will be 133 children attending summer camp. Nine children can
sleep in each cabin. How many cabins will be needed?

Answers

Answer:

15 cabins will be needed

What is the INTERQUARTILE RANGE for the data: , 3, 4, 4, 6, 7, 7, 9,

Answers

Answer:

The interquartile range for this data set is 3.

Step-by-step explanation:

We are given the data set : 3, 4, 4, 6, 7, 7, 9

In order to find the interquartile range, we can create a box plot for this data set. Each box plot contains a minimum, lower quartile, median, higher quartile, and maximum. Let's find the minimum and maximum before the others as it is the easiest one to identify. The minimum here would be 3 since that's the lowest number here in this data set. The maximum here would be  9 since that's the highest number here in this data set. Before we find the lower and higher quartile, let's find the median first since that way, we don't get mixed up between so many numbers. To find the median, you need to find the value that lies at the middle point throughout the data set. Since there are 7 values in this data set which is a odd number, all we need to do is cross out the first and last value as each set goes by.

3, 4, 4, 6, 7, 7, 9

   4, 4, 6, 7, 7

       4, 6, 7

           6

The work above shows each set of the first and last value getting shorter and shorter, so the median of the data set would be 6. The values, 3, 4, and 9 have already been used. Now that we know the median, the second lowest number here is 4 (lower quartile) and the second highest number here is 7 (higher quartile). In order to find the interquartile range, you need to find the difference between the lower quartile and higher quartile, which means to subtract.

7 (higher quartile) and 4 (lower quartile) = 3 (interquartile range)

Therefore, the interquartile range for this data set is 3.

Is this correct?Check image

Answers

yes it is correct!:)
B would be 10^5 because 10 is already 10^1
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