what is the equation of the line passing through the points (3,6) and (2,10)

Answers

Answer 1

Answer: y= - 4x+18

Step-by-step explanation:

Equation: y=mx+b

***remember: b is the y-intercept and m is the slope.

m=[tex]\frac{y2-y1}{x2-x1}[/tex]

3= x1

2= x2

6= y1

10=y2

m=[tex]\frac{10-6}{2-3}[/tex]= [tex]\frac{4}{1}[/tex]= -4

m=-4

Now we have y=-4x+b , so let's find b.

You can use either (x,y) such as (3,6) or (2,10) point you want..the answer will be the same:

   (3,6). y=mx+b or 6=-4 × 3+b, or solving for b: b=6-(-4)(3). b=18.

   (2,10). y=mx+b or 10=-4 × 2+b, or solving for b: b=10-(-4)(2). b=18.

Equation of the line: y=-4x+18


Related Questions

The quotient of a number and 5 is 17

Answers

Answer:85

Explanation:
Quotient is when you divide a number by another 17•5 is 85 so 85/5 is 17 resulting in the answer 85

Karen is taking a standardized test. The more questions she answers correctly, the greater her final test score will be.


Which of the variables is independent and which is dependent?

Answers

Answer:

they are bothdependant

Step-by-step explanation: they have to be because her test score depend on the number of answers she gets correct

Consider the function represented by the equation y-6x-9 = 0. Which answer shows the equation written in function
notation with x as the independent variable?
O F(x) = 5x + 9
O f(x) = 1/3 x + 2 / 2
Of) = 5y+9
O fox = 1/3 + 2 / 2

Answers

Answer:

f(x) = 5x+9

Step-by-step explanation:

This meets the criteria:

function notation - all this means is replace the'y' with 'f(x)

x as the independent variable - basically means don't change the letter for x

The equations in the system below are equivalent.

y = 2 (x + 4). Y = 2 x + 8

How many solutions does the system have?
no solution
one unique solution
two solutions
an infinite number of solutions

Answers

Answer:The answer would be infinite solutions

Step-by-step explanation:

Answer:

D. an infinite number of solutions

Step-by-step explanation:

In order to know that this is true, you must do simple steps to solve it. The first equation (y = 2 (x + 4)) is unsolved. In order to make it equal to the second equation (Y = 2 x + 8

), you must first use the distributive property, so multiply the x and the 4 in the first equation to get Y= (2x + 8), remove the parenthesis, and now, the equations are equal. Since they are equal, they overlap each other on the graph, so any number replacing x will change both equations equally, so they will forever overlap no matter what.

Hope this helps! [?][?]

How much would you spend if your meal cost $37.24 and you want to leave an 18% tip?

Answers

Answer:

43.94 in total

Step-by-step explanation:

18% of 37.24 is 6.70 which would be the tip and adding those two numbers together would equal 43.94

Hope this helps. Plz give brainliest.

Answer: 37.42

Step-by-step explanation: first you need to add and point to the 18% like this 0.18 and add it to the first number

Cara has two pieces of ribbon, one 15 inches long and the other 20 inches long. To decorate an album, she wants to cut them up to produce many pieces of ribbon that are all of the same length, with no ribbon left over. What is the greatest length, in inches, that she can make them?

Answers

Answer:

5 inches

Step-by-step explanation:

Given that :

There are two pieces of ribbon with length:

15 inches and 20 inches

To cut ribbon into equal sizes with no ribbons left ; the greatest length in inches of the ribbon would be :

Calculate the greatest common factor of both lengths : 15 inches and 20 inches

____15___20

_5__ 3___4

OR

Find the factors of 15 and 20 and pick the greatest common to both

15 : 1, 3, 5, 15

20 : 1, 2, 4, 5, 10, 20

Greatest factor common to both = 5

Hence the greatest length she can cut the ribbons into without any leftover is 5 inches

Aston University creates a 10 digit student number as the University enrolls each student. The first two characters must be a digit 1 through 9. The next seven characters can be anything and the last digit just can’t be the same as the ninth character (i.e. the previous digit). How many student numbers are possible?

Answers

Answer:

The number of student numbers that are possible = 729,000,000 student numbers

Step-by-step explanation:

The number of possible numbers that can take the place of the first two digits = 9 possible numbers each

The number of possible numbers that can take the place of the 3rd to the 9th digits = 10 possible numbers each

The number of possible numbers that can take the place of the 10th digits = 9 possible numbers each

The total number of possible numbers is given as follows;

9 × 9 × 10⁶ × 9 = 729000000 possible student numbers

some number is added to itself the result is multiplied by eight is four what is that number​

Answers

Answer:

X=1/4

Step-by-step explanation:

(x+x)*8=4

(2x)*8=4

16x=4

X=4/16=1/4

Answer:

0.25

Step-by-step explanation:

First...

Assume that the number is x and make an equation.

(x + x) 8 = 4

Next...

Add.

(2x) 8 = 4

After that...

Divide.

2x = 4/8 so 2x = 1/2

Finally...

Divide more

x = 1/4 or 0.25

So your answer is 0.25.

I did double-check.

5x-2y ≤ 20 can you guys solve this.

Answers


Your answer is y ≥ −10 + 5x/2

Answer:

Step-by-step explanation:

Let's solve for x.

5x−2y≤20

Step 1: Add 2y to both sides.

5x−2y+2y≤20+2y

5x≤2y+20

Step 2: Divide both sides by 5.

5x /5 ≤ 2y+20 /5

x≤ 2 /5 y+4

Answer:

x≤ 2 /5 y+4

Let's solve for y.

5x−2y≤20

Step 1: Add -5x to both sides.

5x−2y+−5x≤20+−5x

−2y≤−5x+20

Step 2: Divide both sides by -2.

−2y /−2 ≤ −5x+20

−2 y≥ 5 /2 x−10

Answer:

y≥ 5 /2 x−10

El valor de una casa es de $655 000 al contado, pero al venderla a plazos se le carga 25.5% de su precio. ¿Cuál es el costo final de la casa si se vende a plazos?

Answers

Answer:

la respuesta seria,487,975

Step-by-step explanation:

Si resta 655,000 - 25.5% entonces la respuesta es 487,975 dólares con el plazo se le carga.

Espero que esto haya ayudado :)

The price when selling on installments be $822025.

What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.equation modelling : Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis and results of the given problem

Given is that the value of a house is $655,000 in cash, but when selling it on installments, you are charged 25.5% of its price.

 

Assume the price when selling on installments be $x. Then, we can write new price as -

[x] = 655000 + {25.5% of 655000}

[x] = 655000 + {25.5/100 x 655000}

[x] = 655000 + {25.5 x 6550}
[x] = 655000 + 167025

[x] = $822025

Therefore, the price when selling on installments be $822025.

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ2

{Question in english would be

The value of a house is $655,000 in cash, but when selling it on installments, you are charged 25.5% of its price. What is the final cost of the house if it is sold in installments?}

Need help with Aleks for geometry

Answers

It’s saying document not found I can’t help

ANSWER FOR BRAINIEST
(15 points)

Answers

Answer:

y=5.5x-52

Step-by-step explanation:

lmk if you want me to explain

Help plsss due today!!!

Answers

Answer:

320 feet

Step-by-step explanation:

your mom

hope this helps:)

x+3=12
show steps
thx

Answers

Answer:

are u serious this is the most easiest question ive ever answered but the answer is 9 because u can minus  12-3 and get 9 so x=9

Step-by-step explanation:

how can you find a ratio in a bar graph​

Answers

Divine the total number of the entire chart by the number of a single line or bar to give you the ratio in a bar or line chart. For example, if a bar or line represented 5 in a chart with a total of 30, you would divide 30 by 5. This would give you a result of 6. Therefore, the ratio would be 6:1.

Determine the intercepts of the line.
2x + 5y = -6
y-intercept: ?
r-intercept: ?

Answers

Answer:

y-int = (0,-6/5)

x-int = (-3,0)

Step-by-step explanation:

to find the ints you have to replace the values by zero

y-int :

2(0) + 5y = -6

0 + 5y = -6

5y = -6

y = -6/5

y-int = (0,-6/5)

x-int:

2x + 5(0) = -6

2x + 0 = -6

2x = -6

x = -6/2

x = -3

x-int: (-3,0)

3. Evaluate x: y for x = 3 and y = 12. a. 0.25 b. 4 c. 9 d. 36

Answers

Answer:

4

Step-by-step explanation:

plug it in and 3 divided by 12 is 4

Which equation represents a line that passes through (5, 1) and has a slope of StartFraction one-half EndFraction?

y – 5 = y minus 5 equals StartFraction one-half EndFraction left-parenthesis x minus 1 right-parenthesis.(x –1)
y – y minus StartFraction one-half EndFraction equals 5 left-parenthesis x minus 1 right-parenthesis. = 5(x –1)
y – 1 = y minus 1 equals StartFraction one-half EndFraction left-parenthesis x minus 5 right-parenthesis.(x –5)
y – 1 = 5y minus 1 equals 5 left-parenthesis x minus StartFraction one-half EndFraction right-parenthesis

Answers

Answer:

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

Just took the test, hope this helps!

Answer:

above is correct the letter answer is C on edg2020

Step-by-step explanation:

edg2020

"7xy+2x-y+5y-xy combine all like terms and rewrite the expression above "

Answers

Answer:

6xy+2x+4y

Step-by-step explanation:

The answer is 5y

Hope this helped

Simplify the exponent in (4w^3z)^5

Answers

Answer:

n onononononononoonnoono

Step-by-step explanation:

Answer:

1024w^15z

Step-by-step explanation:

(4w^3z)^5

4^5 x (w^3z)^5

1024 x (w^3z)^5

1024w^3z(x)5

1024w^15z

The larger of two numbers is 10 more than the smaller numbers. If the sum of the two numbers is 74. Find the two numbers

Answers

Answer:

32 and 42

Step-by-step explanation:

Hello,

let s note x the smaller number

x + (10+x) = 74

10+2x=74

2x=74-10=64

x=64/2=32

y=32+10=42

thanks

53.28 is what percent of 71.04?

Answers

Answer:

15.43

Step-by-step explanation:

71.04% off 53.28 is 15.43

The difference is 37.85 ,hope  i helped

Jason earns $28 for every 4 lawns he mows.

PLZ HELP ME IM GIVING 40 POINTS
. Jason earns $28 for every 4 lawns he mows. If he wants to make $140, how many lawns does he need to mow?

Answers

Answer:

This could easily be answered with a culculator but the answer is 20.

Step-by-step explanation:

5x4=20

Point slope question

Answers

Answer: (y + 3) = -1/3 (x - 2)

Step-by-step explanation:

Point-slope form has the form of

y - y1 = m (x - x1)

Where

y1 is the y-value of a point on the line

x1 is the x-value of a point on the line

m is the slope of the line

The problem already gives a point on the line, (2, -3)

(y + 3) = m (x - 2)

Remember to put the opposite value of the x and y values. (In other words, do NOT write (y - 3) = m (x + 2) )

The slope of a perpendicular line is the opposite reciprocal of slope of the line it is perpendicular to. The perpendicular line given in the equation is

3x - y = 4

When rearranged to slope-intercept form, we get

y = 3x - 4

Meaning the slope of the perpendicular line is 3. The opposite reciprocal of positive three is negative one-third. Therefore, the slope of the line we are solving for is -1/3.

1,500,000,000 in standard notation

Answers

15 times 10^8 is the answer
15 times 10:8 is the answer

You can buy a skateboard from your friend for $60 and rent a helmet for $2 per hour. Your other option is to rent a skateboard and a helmet for $6 per hour. How many hours must you skateboard so that the costs would be the same? Write an equation.

Answers

Answer:

3 hours if you buy the board and 11 hours if you rent

In a traffic jam, it once took me 2.5 hours to drive 30 miles across Atlanta. What was my speed in miles per hour on this trip?

Answers

speed = distance ÷ time = 30 ÷ 2.5 = 12 mph

What are the vertices of ΔA'B'C produced by T⟨−3, 6⟩ (ΔABC) = ΔA'B'C?

Answers

Answer:  (3x - 12, 3y +6)

Step-by-step explanation:A dilation is a transformation that produces an image that is the same shape as ... The dilation (centered at O with a scale factor of 2) of ΔABC = ΔA'B'C' making ... from O to the vertices of ΔA'B'C' are twice the distances from O to ΔABC. ... Apply the dilation formula when centered at origin: (3(x - 4), 3(y + 2)) = (3x - 12, 3y + 6)

Alejandra drove from Michigan to Colorado to visit her friend. The speed limit on the highway is 70 miles/hour. If Alejandra’s combined driving time for the trip was 14 hours, how many miles did Alejandra drive?
PLease help me!

Answers

She drove 980 miles because

1 hour = 70 miles

14 hours = 980 miles

You’d find the amount of hours by multiplying the miles and the hours

Hope this helped :)

Answer:

13720 i think

Step-by-step explanation:

Why the following triangles are congruent!

Answers

Answer:

They have equal ticks and angles. They are congruent because they are equal in all sides and angles.

Step-by-step explanation:

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