What is the slope-intercept equation of the line that goes through the points (3,5) and (-1,13)

Answers

Answer 1

Answer:

y=-2x+11

Step-by-step explanation:

Slope-intercept form is y=mx+b.

Slope is rise/run, which is y2-y1/x2-x1. Using these points, that's (13-5)/(-1-3). This is 8/-4, or -2.

You can plug this into y=mx+b to get y=-2x+b.

To solve for b, you can use one of the original points and plug it back into the formula:

y=-2x+b

5=-2(3)+b

5=-6+b

b=11

So, putting it all together, you get y=-2x+11.


Related Questions

For which pair of functions is (g circle f) (a) = StartAbsoluteValue a EndAbsoluteValue minus 2?
f(a) = a2 – 4 and g (a) = StartRoot a EndRoot
f (a) = one-half a minus 1 and g(a) = 2a – 2
f(a) = 5 + a2 and g (a) = StartRoot a minus 5 EndRoot minus 2
f(a) = 3 – 3a and g(a) = 4a – 5

Please explain in detail I am very confused about the whole thing thx for ur help in advance :)

Answers

Given:

[tex](g\circ f)(a)=|a|-2[/tex]

To find:

The functions f(x) and g(x).

Solution:

We know that,

[tex](g\circ f)(a)=g[f(a)][/tex]

If [tex]f(a)=a^2-4[/tex] and [tex]g(a)=\sqrt{a}[/tex], then

[tex](g\circ f)(a)=g[a^2-4][/tex]

[tex](g\circ f)(a)=\sqrt{a^2-4}\neq |a|-2[/tex]

Option A is incorrect.

If [tex]f(a)=\dfrac{1}{2}a-1[/tex] and [tex]g(a)=2a-2[/tex], then

[tex](g\circ f)(a)=g[\dfrac{1}{2}a-1][/tex]

[tex](g\circ f)(a)=2(\dfrac{1}{2}a-1)-2[/tex]

[tex](g\circ f)(a)=a-2-2[/tex]

[tex](g\circ f)(a)=a-4\neq |a|-2[/tex]

Option B is incorrect.

If [tex]f(a)=5+a^2[/tex] and [tex]g(a)=\sqrt{a-5}-2[/tex], then

[tex](g\circ f)(a)=g[5+a^2][/tex]

[tex](g\circ f)(a)=\sqrt{5+a^2-5}-2[/tex]

[tex](g\circ f)(a)=\sqrt{a^2}-2[/tex]

[tex](g\circ f)(a)=|a|-2[/tex]

Option C is correct.

If [tex]f(a)=3-3a[/tex] and [tex]g(a)=4a-5[/tex], then

[tex](g\circ f)(a)=g[3-3a][/tex]

[tex](g\circ f)(a)=4(3-3a)-5[/tex]

[tex](g\circ f)(a)=12-12a-5[/tex]

[tex](g\circ f)(a)=7-12x\neq |a|-2[/tex]

Option D is incorrect.

Therefore, the correct option is C.

PLEASE HELP!!!!!!!!!!!!!!!

Answers

Nice I like the black pic :D

Answer:

Blue

blue with a hint of orange

10 points pls help me this is urgent if i don’t do this i won’t pass

Answers

Answer:

Here's something to help you

Step-by-step explanation:

I'm using the second question as an example.

To find the Unit Rate, you have to divide the amount of money by the amount of whatever the product is

5.99/8= 0.74875

Since the question says to round it to the nearest hundredth, that means the price per unit (unit rate, or the price for one battery here) would be about $0.75. Simple, right?

pls help will give brainliest to best answer

Answers

Answer:

y=250x-4

Step-by-step explanation:

If y represents the amount of money made in a week, y=250.

If x represents the amount of cakes that are made, x=?

You make $250(y) a week, you then spend $4(x) per cake, this would make the equation:

y=250x-4

What is the product of 60?

Answers

We divide 60 by 2 as many times as possible to get 60 = 15 x 2 x 2. 2 is a prime number so we don't need to break the 2's down any more. Instead we break 15 down. 15 doesn't divide by 2 so we try the next prime number: 3 Divide 15 by 3 to get 15 = 5 x 3, and so 60 = 5 x 3 x 2 x 2.

Answer:

the product of 60 is 5×3×2×2

Cindy bought 3 burgers and 2 soft drinks for $10.50. At the same restaurant, Sean bought 4 burgers and 3 soft drinks for 14.50. How much does 1 burger cost

Answers

Answer:

To much to count

Step-by-step explanation:

Help me with this please

Answers

Answer:

It would be -13

Step-by-step explanation:

Answer:

-13

Step-by-step explanation:

You need to separate the 8 from each side of the equation. Picture it like this:

-104= 8 (multiplied by) x

To separate 8 from the variable, you need to divide that side by 8. Similarly, you need to do the same thing to the other side.

-104/8=8x/8

-13=x

help me with this its super hard

Answers

Answer:

240

Step-by-step explanation:

Because you have to do length times with times height

12 times 10 times 2= 240

What is the decimal value of 5/6

Answers

Answer:

0.83

Step-by-step explanation:

The 3 keeps going on and on and on :)

Hey there!

• In order to CONVERT a FRACTION to a DECIMAL, all you have to do is DIVIDE the NUMERATOR (TOP number) from the DENOMINATOR (BOTTOM number)

• “What is the decimal value of 5/6?”

5 / 6 = 5 ÷ 6 → 0.83

Answer: 0.83 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

It is approximately 32 miles from Dallas to Fort Worth.
Which number sentence could be used to find f, the number
of feet from Dallas to Ft. Worth.


(A) 1760 x 1/32 = f; because the scale factor is 5280
(B) 32 x 1760 = f; because the scale factor is 5280.
(C)5280 x 1/32 = f; because the scale factor is 5280.
(D)32 x 5280 = f; because the scale factor is 5280.

Answers

I believe the answer your looking for is b
My guy in some kind of 7000 level gawk gawk math or sum yo haha

1,232 divided by 8 =?
Show your work!

Answers

Answer:

154

Step-by-step explanation:

just divide 1232 and 8

(long division)

The amount of seed needed for a landscaper to cover a lawn is shown in the table. Decide if the relationship between the amount
of seed and the area it covers is proportional.

Answers

Answer:

yes it is

Step-by-step explanation:

V
P
A
4 Here is an explanation that the angle sum of triangle ABC is 180°.
The reasons for each line are missing.
Give the reasons.
1. Angle A of the triangle = angle PCA
2. Angle B of the triangle = angle QCB
3. Angle PCA + angle C of the triangle + angle QCB = 180°
Hence angle A + angle B+ angle C = 180°
С
B
5 Show that the interior angles of this shape add up to 360°.​

Answers

Answer:

Step-by-step explanation:

360

Why do we convert from a mixed number to an improper fraction by multiplying the denominator of the fraction by the whole number and then adding the numerator?

Answers

Because the denominator is the same as the improper fraction so that mean you will get the numerator but then you have to add the decimal then subtract the answer by the mixed number then you will get your answer

I hope this helps

A mixed number to an improper fraction by multiplying the denominator of the fraction by the whole number and then adding the numerator

What are Mixed Numbers?

A mixed number is a whole number, and a proper fraction represented together. A mixed number is formed by combining three parts: a whole number, a numerator, and a denominator. The numerator and denominator are part of the proper fraction that makes the mixed number.

To convert a mixed number to an improper fraction , we need to follow these three steps :

Step 1 : Multiply the whole number by the denominator

Step 2 : Add the answer from Step 1 to the numerator

Step 3 : Write answer from Step 2 over the denominator

Take for example :

Let the number be x = 5 5/9

Step 1 :

Multiply the whole number by the denominator

9 × 5 = 45

Step 2 :

Add the answer from Step 1 to the numerator

45 + 5 = 50

Step 3 :

Write answer from Step 2 over the denominator

50/9

Therefore , the mixed number 5 5/9 is converted to its improper fraction as 50/9

To learn more about mixed numbers click :

https://brainly.com/question/2639375

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What is the slope intercept.

Answers

y=mx+b
Slope: 1
y-intercept: (0, -8)
Slope intercept: y=x-8

How long does it take for the contestant to go from A to D if 15 feet is a second. I got 13.333 seconds but it says im wrong. Can someone help me out please

Answers

The answer is 5 the answer is 5
Answer:   13.3 seconds

========================================================

Explanation:

Since triangle ABD is congruent to triangle CBD, this means the corresponding pieces AB and BC are the same length. Both are 70 feet.

Similarly, AD = DC = 60 ft.

The total length traveled is:

AB+BC+CD = 70+70+60 = 200 ft

We never use BD = 50 at all.

Divide this total distance over the speed of 15 ft per second, and we get 200/15 = 13.333 seconds approximately.

You are correct so far. You just need to round this value to the nearest tenth, as the instructions indicate. So you'll round to one decimal place. The value 13.333 turns into 13.3 which is the final answer.

Alexa bought 2 1/3 pounds of turkey for 26.25. What is the cost per pound?

Answers

Answer:

11.25

Step-by-step explanation:

Answer:

approximatly $11.25

Step-by-step explanation:

26.25/2.333333 = 11.2500000161

need help plz its math ​

Answers

Answer:

option D 41

Step-by-step explanation:

since ∠N = ∠L

this means that MN = ML    (sides opposite to equal angles are equal)

thus

3x + 1 = 5x - 7

1 + 7 = 5x - 3x

8 = 2x

8/2 = x = 4

inserting values

3*4 + 1= 13

4*4-1 =15

5*4-7 = 13

adding all

13 + 13+ 15 = 41

option D 41

Which polynomial is in standard form?
N
O 26x5 + 12x7-8x3 + 6x
O 3x5 +x-6x2 + 5
11x5-6x2-9x+12
5x2 + 18x3 - 12x4 +4x7

Answers

Answer:

i am pretty sure it is D

Step-by-step explanation:

Answer:

Its C.) 11x^5 - 6x^2 - 9x + 12

Step-by-step explanation:

ejenuwitee

=D

=P

If EG=71 , find the value of x

Answers

Answer:

A

Step-by-step explanation:

A = 71 so then EG = 91

3x + 2(4 + 6x) = 113

Explain what you did in each step of your solution.

Answers

PEMDAS (parenthesis, exponents, multiplication, division, addition, subraction)

Answer:

x = 7

Step-by-step explanation:

So first, multiply everything inside the (   ) by 2

So then, the equation will look like this: 3x + 8 + 12x = 113

Then, combine like terms, which leave the equation to look like this:

15x + 8 = 113

Then subtract 8 from both sides, leaving the equation like this : 15x = 105

Last step, divide both sides by 15, which leave you with x = 7

1. What is the place value of the 5 in the number 1,589,302? *
hundreds
O hundred thousands
millions

Answers

Answer:

Hundred thousand

Step-by-step explanation:

500,000

Find the slope between (-1, 7) and (-3, 1).

Answers

Answer:

[tex]m=3[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-1, 7)

Point (-3, 1)

Step 2: Solve for x

Substitute [SF]:                    [tex]m=\frac{1-7}{-3+1}[/tex]Subtract/Add:                      [tex]m=\frac{-6}{-2}[/tex]Divide:                                 [tex]m=3[/tex]

a bakery sold 208 chocolate cupcakes in a day,which was 25%of the total number of cupcakes sold that day. How many cupcakes did the bakery sell that day

Answers

Answer:

832

Step-by-step explanation:

multiply the 25% by 4

Answer:

Coryxkenshin

Step-by-step explanation:

students set up 6 rows of seats for a music concert. they put 6 seats in each row. what is the total number of seats? solve this problem any way you choose

Answers

Answer:

36

Step-by-step explanation:

becuase each row has 6 in them and there are 6 rows so 36 is the final answer

36 would be the answer if there’s 6 chairs in each rows and 6 rows you just simply multiply 6 and 6 :)

An entire pumkin pie (16 Slices ) has 3,840 calories. If the pie is cut into 16 slices how many calories are in each slice?

Answers

Answer:

240

Step-by-step explanation:

Answer:

240 calories

Step-by-step explanation:

3,840 divided by 16 is 240 :)

in a company, 40% of the workers are women. If 1380 woman work for the company, how many total workers are there?

Answers

Answer:

Step-by-step explanation:

The total number of workers is our unknown. If 40% of this unknown number are women and the number of women is 1380, then the equation looks like this:

(remember that the word "of" generally means to multiply)

(also remember that we have to use the decimal form of a percent in an equation)

.40(x) = 1380 then divide to get the number of total workers:

x = 3450

Slope, m = 3, y-intercept, b = 5

Answers

Answer:

I can't help if I don't have enough to answer sorry

Step-by-step explanation:

Determine whether the given figure tessellates the plane.
a yes
b. no

Answers

Answer:yes or a Explainaton:

Yes. Given figure tessellates the plane.

What is tessellation?

"It is a pattern created with identical shapes which fit together with no gaps."

For given situation,

The figure is a hexagon.

A shape is said to tessellate the plane if the plane can be covered without holes and no overlapping (save for the boundary points) with congruent copies of the shape.

So the figure is tessellates the plane with triangles.

Learn more about tessellation here:

https://brainly.com/question/2033730

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6.203x4.5
Help pls asap

Answers

Answer:

27.9135

Step-by-step explanation:

I need to find the x pls help and show work I need to find the x pls help and show work 377373 so yeah A 73828 I need to find the x pls help and show work
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