8. Write the equation of the line in slope-intercept form that has:
points: (3, 5) and (-1,-3)

Answers

Answer 1

Answer:

Step-by-step explanation:

y = mx + b Calculate the slope, m, from the given point values, solve for b by using one of the point values, and check your solution using the other point values.

A line can be thought of as the ratio of the change between horizontal (x) and vertical (y) positions. Thus, for any two points defined by Cartesian (planar) coordinates such as those given in this problem, you simply set up the two changes (differences) and then make the ratio to obtain the slope, m.

Vertical difference “y”  = y 2 – y 1 = − 5 – 1 = − 6  

Horizontal difference “x” = x 2 – x 1 = − 2 – − 3 = 1

Ratio = “rise over run”, or vertical over horizontal = ( − 6 1 ) = − 6  for the slope, m.  

A line has the general form of y = mx + b, or vertical position is the product of the slope and horizontal position, x, plus the point where the line crosses (intercepts) the x-axis (the line where z is always zero.) So, once you have calculated the slope you can put any of the two points known into the equation, leaving us with only the intercept 'b' unknown.

1 = ( − 6 ) ⋅ ( − 3 ) + b ; 1 = 18 + b ; 1 – 18 = b ; − 17 = b

Thus the final equation is  y = − 6 ⋅ x − 17

We then check this by substituting the other known point into the equation:

− 5 = ( − 6 ) ⋅ ( − 2 ) − 17 ; − 5 = 12 − 17 ; 5 = − 5


Related Questions

Help me with math please

Answers

(-3^3+2 · -2^2)^2-4^4

(-27+2 · -4)^2-4^4

(-27+(-8))^2-4^4

-35^2-4^4

1225-256

969

this is algebra 1 id appreciate it if you could help me thx!

Answers

Graph number 3, I believe

pLS help me with thisss:((((((​

Answers

Answer:

C and B

Step-by-step explanation:

(6)

[tex]\frac{3x-7y}{8}[/tex] × [tex]\frac{6}{3x-7y}[/tex] ← cancel 3x - 7y on numerator and denominator

= [tex]\frac{1}{8}[/tex] × [tex]\frac{6}{1}[/tex] = [tex]\frac{6}{8}[/tex] = [tex]\frac{3}{4}[/tex] → C

(7)

[tex]\frac{6x}{x^2-9}[/tex] ÷ [tex]\frac{8}{4x-12}[/tex]

Factorise the denominators of both fractions

x² - 9 = x² - 3² = (x - 3)(x + 3) ← difference of squares

4x - 12 ← factor out 4 from each term

= 4(x - 3)

Then rewrite as

[tex]\frac{6x}{(x-3)(x+3)}[/tex] ÷ [tex]\frac{8}{4(x-3)}[/tex] ← cancel 8 and 4 by 4

= [tex]\frac{6x}{(x-3)(x+3)}[/tex] ÷ [tex]\frac{2}{x-3}[/tex]

• leave first fraction, change ÷ to × , turn second fraction ' upside down'

= [tex]\frac{6x}{(x-3)(x+3)}[/tex] × [tex]\frac{x-3}{2}[/tex] ← cancel x - 3 on numerator and denominator

= [tex]\frac{6x}{x+3}[/tex] × [tex]\frac{1}{2}[/tex] ← cancel 2 and 6 on numerator and denominator

= [tex]\frac{3x}{x+3}[/tex] → B

is it true 30 is 6 times as much as 5?

Answers

Answer:

Yes, its true that 30 is 6 times as much as 5.

6×5=30.

Answer:

yes

Step-by-step explanation:

because 6x5=30

translate the sentence into an inequality.
The product of w and 8 is greater than or equal to -16.

Answers

The inequality would be 8w≥-16

Answer:

8w ≥ -16

It's pretty simple.

Product means it has something to do with multiplication.

≥ This is the greater than or equal to sign.

What’s 20/10 simplified??

Answers

Answer:

answer is 2

Step-by-step explanation:

20/10

divide both answers by ten

2/1

then one is meaningless so u remove it

Free 10 pointss oh:>​

Answers

Answer:

oh it's 5 not 10 xD

The hazard management process consists of a number of activities designed to reduce loss of life and destruction of property. Natural hazard management has often been conducted independently of development planning. A distinctive feature of OAS technical assistance is the integration of the two processes.

Step-by-step explanation:

plz mark me as brainliest

have a great day

The answer is:
Thank you

Dose anyone know how to Determine this equation from the graph:

The equation of any non-vertical line can be written in slope-intercept form y=mx+b
In this equation, b is the slope and m is the y-intercept.

Answers

equation for graph above:
y=4/3x-3

Check cashing companies
charge high fees. Banks charge
less, or nothing, to cash checks
for their account holders. How
can you be sure to avoid check
cashing companies?

Answers

Answer:

they usually cost nothing if you go through your bank

Bonjour, Est-ce que quelqu'un peut m'aider à faire ce devoir. tellement apprécié :)

Answers

Step-by-step explanation:

gud eve.

good nigth

ilove you

I need helppp plzz
i'll brainliest

Answers

Answer:

Step-by-step explanation:

Since B is the midpoint, AB must be equal to BC.

AB = BC

7x - 4 = 3x + 32

Isolate the variable

7x - 4 = 3x + 32

4x = 36

x = 9

Now solve for one side.

AB = 7x - 4

AB = 7(9) - 4

AB = 59

Since both sides are equal, finding AC just means multiplying one side by 2.

AC = AB * 2

AC = (59) * 2

AC = 118

You can double check by finding the other side and multiplying by 2.

BC = 3x + 32

BC = 3(9) + 32

BC = 27 + 32

BC = 59

AC = BC*2

AC = 59*2

AC = 118

Let me know if you have any questions!

What time is three hours and 30 minutes after 6:30 am

Answers

The answer is 10:00 am

add 3 to 6 then add the 30 minutes to the 30 minutes which equals another hour

6+3=9 and 30+30= 60 which is an hour so the answer is 10:00 am

Hello. . .

I need help please. . .

answers/w explanation. ✅

Nonsense answers, or answers that's not the question I ask for will be reported.

Answers

Answer:

x = 1 , y = 4

Step-by-step explanation:

I am assuming you're looking for what x and y are? If so, then we know that

DC and AB equal each other, so

4x + y = 8

CB and AD equal each other, so

2x + y = 6

We have two equations that cannot be solved on their own, so we must solve them as a system of equations. One process to solve is elimination.

4x + y = 8

2x + y = 6

we can multiply the second equation all by -1 to make the y's cancel out and give us x. so,

4x + y = 8

-1(2x + y) = 6

4x + y = 8

-2x -y = -6

now solve them vertically. we get:

2x = 2

and so x = 1.

Now that we found x, we must find y. Using any of the two equations froom above, we can substitue our x value of 1 into it to find y. I will use the first one.

4x + y = 8

4(1) + y = 8

4 + y = 8

y = 8 - 4

y = 4

so our x is 1 and y is 4.

hope this helps! (:

please help with these question, giving brainliest :)

Answers

Answer:

Step-by-step explanation:

I’ll give thanks, 5 stars and brainliest
Continue the pattern till the tenth digit. 1, 4, 9, 16,...

Answers

Answer:

25,36,49,64,81,100

................................

Answer:

Your answer is 1, 4, 9, 16, 25, 36, 49, 64, 81, 100.

Step-by-step explanation:

1 - 4  

+ 3

4 - 9

+ 5

9 - 16

+ 7

+9, +11, +13, +15, +17, +19...

WILL MARK BRAINLIEST
Translate into expression
One-half the difference of thrice a number and four

Answers

Answer:

[tex]3x - 4[/tex] ÷ [tex]\frac{1}{2}[/tex]

suppose that a and b are rational numbers. which expression is equivalent to a - b?

A. a+b
B. -a + b
C. a + (-b)
D. -a + (-b)


please help! due today

Answers

Answer: Its a

Step-by-step explanation:

12.642 to the nearest tenth
29.10 to the nearest tenth
2,492 to the nearest tenth
3.44 to the nearest tenth
5,239 to the nearest tenth
89.43 to the nearest tenth

Answers

Answer:

12.6

Step-by-step explanation:

sorry only first one

A woman has a square garden for strawberry planting.2 of the sides have fencing.The fencing is 40m in length.Find the maximum possible area.

Answers

Answer:

The maximum possible area is 1,600 m.

Step-by-step explanation:

You already have the two sides so you just multiply 40×40 and that gives you the area.

write the equation
it passes through (0,-2) and is perpendicular to the graph of y=5x+7

Answers

Step-by-step explanation:

the line passes through (0,-2) and perpendicular to the graph of y=5x+7.

solution :

the slope = -1/5

the equation :

y+2 = -1/5 (x-0)

y = -1/5x - 2

Someone plz help me :(

Answers

Answer:

C is the correct answer.

Step-by-step explanation:

Answer:

the anserew is all c hope this helps sorry if it dont and sorry i cant spell

NO LINKS NO LINKS NO LINKS

Answers

Answer:

−1(−15)(−3)

Hope this helps :)

-m2 + 18 m = 45

-m2 + m = 45/18

-m2 + m = 15/6

-m2 + m = 2.5

hope this helps

M<2 = 4x +6
What is the value of X?​

Answers

Answer:

Step-by-step explanation: 10 but thanks green guy

Answer:

x = 10

Step-by-step explanation:

The triangle has 2 congruent sides and is therefore isosceles, then the 2 base angles are congruent, both 67°

The sum of the 3 angles is 180° , that is

4x + 6 + 67 + 67 = 180

4x + 140 = 180 ( subtract 140 from both sides )

4x = 40 ( divide both sides by 4 )

x = 10

what is the answer ?

Answers

Answer:

arc VW = 66°

Step-by-step explanation:

The inscribed angle WXY is half the measure of its intercepted arc WY, so

WY = 2 × 57° = 114°

Arc YX = 180° ( semi- circle ) , then

VW = YX - WY = 180° - 114° = 66°

Answer:

66°

Step-by-step explanation:

1) m(WY)=2*57=114°;

2) m(WX)=180-m(WY)=180-114=66°

A bottle of grape juice costs 6.50$ of you buy 6 bottles you can get 10%discount workout how much you save if you buy 6 bottles

Answers

$6.50 x 6 = $39 but buying six hives a 10% discount which would be $3.90 OFF
$39-3.90= $35.10
Your answer is you save $3.90 by buying six bottles

PLEASE HELP DUE IN 10 MINUTES NOBODY WILL HELP IM DESPERATE SO I WILL GIVE BRAINLIEST 5 STARS AND A THANKS JUST QUESTION 2 PLEASE :C IM REALLY SORRY THERE ARE NOT A LOT OF POINTS

Answers

Answer:

(6,16)

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

x=6, y=16

Solution is (3,10).

Sorry if I'm late

Given the function h(x) = x2 – 7x + 6, determine the average rate of change of

the function over the interval 3 x < 7.

Answers

Step-by-step explanation:

the average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.

so,

(h(7) - (h(3)) / (7 - 3)

h(7) = 7² - 7×7 + 6 = 49 - 49 + 6 = 6

h(3) = 3² - 7×3 + 6 = 9 - 21 + 6 = -6

7 - 3 = 4

(6 - -6)/4 = 12/4 = 3

the average change rate in that interval is 3 (or fully 3/1).

C= 7.5x +25What is the dependant variable in the formula

Answers

Answer:   C

Step-by-step explanation:

'X' is the input while the 'C' is the output. Because the value of 'C' depends on the value of 'x', then C would be the dependent variable, and 'C' the independent variable.

sam buys a rare stamp for his stamp collection at an auction. he buys the stamp for 920£ the stamp increased in value by 7% in each of the first 2 years decreased in value by 4% in the third year

Answers

The value of the stamp at the end of the third year is £976.31.

How to calculate the value?

From the information, Sam buys a rare stamp for his stamp collection at an auction. he buys the stamp for 920£ the stamp increased in value by 7% in each of the first 2 years.

First year value:

= 920 + (2% × 920)

= 938.4

Second year value:

= 938.4 + (2% × 938.4)

= 957.168

Third year value:

= 957.168 + (2% × 957.168)

= £976.31

Learn more about percentages on:

brainly.com/question/24877689

#SPJ1

Complete question

sam buys a rare stamp for his stamp collection at an auction. he buys the stamp for 920£ the stamp increased in value by 7% in each of the first 2 years decreased in value by 4% in the third year. What is the cost by the end of. the third year?

Hadley paddled a canoe 2/3 mile in 1/4 hour. How fast did Hadley paddle, in miles per hour?

Answers

Answer:

to find the whole ratio from a part use a reciprocal (i.e for this one 1/4, it's 4)

Then wee multiply it to 2/3

2/3 x 4 = 8/3 = 2.666666666 = 2.67

8/3 or 2.67 is the answer

Step-by-step explanation:

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