A line has a slope of m = 3/4 and goes through the point (16, -2). Which of these is the equation of the line?

Answers

Answer 1

Answer:

y  =  (3/4)*x - 14

Step-by-step explanation:

The slope-point general equation of the straight line is:

y  =  m*x  + b

In that equation,  m is the slope and b is the intercept with y-axis

The equation has two parameters to determine m and b. for a different pair of values we get just one unique straight line equation. To do that we need two conditions.

Here we have m = 3/4 and the point P ( 16 , -2), by substitution

y  =  (3/4)*x + b     and

- 2 = (3/4)*16 + b         - 2  = 3*4 +b            -2 = 12 +b    b  = -14

Then the final equation is:

y  =  (3/4)*x - 14


Related Questions

What is the slope of (-6, 1) and (2,5)?

Answers

Answer:

1/2

Step-by-step explanation:

To find the slope given two points, use the slope formula

m= ( y2-y1)/(x2-x1)

   = ( 5-1)/(2--6)

    = (5-1)/(2+6)

    = 4/8

    = 1/2

Answer:

slope = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (- 6, 1) and (x₂, y₂ ) = (2, 5)

m = [tex]\frac{5-1}{2+6}[/tex] = [tex]\frac{4}{8}[/tex] = [tex]\frac{1}{2}[/tex]

What is the amplitude of the function?



2.
O
3
O
4
5

Answers

Answer: 3

Step-by-step explanation:

Prove: The square of a number that is two more than a multiple of 3 is one more than a multiple of 3.

Answers

Answer:

To prove:

(3x + 2)² is  3y + 1

Expand the square:

9x² + 6x + 4 = (9x² + 6x + 3) + 1 = 3(3x² + 2x + 1)  + 1 = 3y + 1Proven

Answer:

9,12,4                          9,12,3,1          3,3,4,1

Step-by-step explanation:

This is a riddle for fun What question can you never answer yes to?

Answers

Answer:

are you dead?

Step-by-step explanation:

Alexandra studied 7 pieces by each modern artist featured in the museum. Each artist has the same number of works in the museum.

Is this sample of the work of the museum's modern artists likely to be biased?

Answers

Answer:

yes probably.

Step-by-step explanation:

Which number completes the system of linear inequalities represented by the graph?

y > 2x – 2 and x + 4y >

Answers

Answer:

1

Step-by-step explanation:

give me brainliest

The number is -12 in the inequality x + 4y ≥ ?

What is an inequality?

In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Given is a system of linear inequalities represented by the graph [attached]

We need to find the missing number,

y ≥ 2x – 2 and x + 4y ≥ ?

The linear equation with slope m and intercept c is given as follows.

y = mx + c.

The formula for slope of line with points (x₁, y₁) and (x₂, y₂) can be expressed as,

m = y₂ - y₁ / x₂ - x₁

The orange line intersects y-axis at (0, -2), therefore the y-intercept is -2.

The orange line intersects the points that are (1, 0) and (0, -2).

The slope of the line can be obtained as follows,

m = 2,

The slope of the line is m = 2.

Therefore, the orange line is y ≥ 2x – 2.

The blue line intersects y-axis at (0, -3), therefore the y-intercept is -3.

The blue line intersect the points that are (-4, -2) and (0, -3).

The slope of the line can be obtained as follows.

m = -1/4

The inequalities is x + 4y ≥ b passes through the point (0, -3).

0 + 4(-2) ≥ b

-12 ≥ b

Hence the number is -12 in the inequality x + 4y ≥ ?

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use the table to locate the location with the greatest amount of rain and the location with the least amount of rain. What is the ratio of their rainfalls, respectively?
ratio= ___
the amount of rain on Mt. Waialeale is___ times as much as the amount of rain in ___
WILL MARK BRAINLYEST

Answers

Answer:

can you show us the table?

Step-by-step explanation:

What is the sum of 7z/x^2 - 4

Answers

Answer:

9x-4 / (x²-4)

Step-by-step explanation:

common denominator is 'x²-4' which is (x-2)(x+2)

the term '7x' already has that denominator but 2/x+2 becomes 2(x-2)/(x²-4)

now you can add 7x to 2(x-2) which is 7x + 2x - 4 or 9x-4 and

your denominator remains as 'x²-4'

Help!! Find the value of x

Answers

Answer:

x = 51

Step-by-step explanation:

The sum of internal angles for this rectangle is 360

x + 81 + 124 + 104 = 360 add like terms

x + 309 = 360 subtract 309 from both sides

x = 51

Can someone help me please

Answers

80 because you find the area of the triangle and subtract it from the area of the rectangle to get 80



Comparing which two values tests whether the way feedback was submitted had an impact on whether or not feedback was

positive?

o #36 and HBO

80

7436 and k+ 80

+80 and k+36

and

36

Answers

Answer:

(C) j/j+80 and 36/k+36

Step-by-step explanation:

From the table attached :

Total Email (positive + negative) = j + 80

Number of positive Emails = j

Fraction of positive emails = (number of positive  / total number of emails) = j / (j + 80)

Total phone calls  (positive + negative) = 36 + k

Number of positive Emails = 36

Fraction of positive emails = (number of positive  / total number of emails) = 36 / (k + 36)

Natalie walked 3/5mile in 1/2 hour. How fast did she walk, in miles per hour?

Answers

Answer:

6/5 miles

Step-by-step explanation:

2 of 1/2 hour makes an hour.

1/2 hour = 3/5 miles

1 hour = 3/5 x 2 = 6/5 miles

Answer:

6/5 mph

Step-by-step explanation:

If she walks 3/5 miles in half an hour, she will walk 6/5 miles in an hour

3x + 5 = 5x - 29

Solve these for X.

Answers

Answer:

x=17!

Step-by-step explanation:

3x+5=5x-29

5=2x-29

34=2x

Therefore x=17!

Answer:

x = 17

Step-by-step explanation:

Lets start evaluating

3x + 5 = 5x - 29

3x + 5 + 29 = 5x

3x + 34 = 5x

34 = 5x - 3x

34 = 2x

x = 34/2

x = 17

If my answer is incorrect, pls correct me!

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

-Chetan K

A student made an 85% on a test with 25 questions. What is the number
of questions that the student answered correctly? Round to the nearest
whole number*

Answers

the student answered 21 questions correctly to earn an 85

The student answered 21 questions correctly on a test.

What is the Multiplication operation?

In mathematics, Multiplication operations perform Multiplying values on either side of the operator.

For example 4×2 = 8

Since the student made an 85% on a test with 25 questions.

To determine the number of questions the student answered correctly, we need to multiply the number of questions by the percentage of questions answered correctly, which is 85%.

= 25 questions × 0.85

Apply the multiplication operation, and we get

= 21.25

Rounding to the nearest whole number,

= 21 questions

Thus, the student answered 21 questions correctly.

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need help anyone help plz im struggling

Answers

Answer:

Step-by-step explanation:

1

HELP ... answer correctly pls


Use the expression below to answer the question.


-3/4 x 2/5


Which situation can be modeled by the expression?


A. Zach owes 3/4 of the original price of his car. Each month he pays 2/5 of the original price. How many months will it take Zach to pay off his car?


B. Zach owes 3/4 of the original price of his car. Each month he pays 2/5 of how much he still owes on the car. What fraction of the original price does Zach owe after this month’s payment?


C. Abdi owes Kim 3/4 of a dollar. He needs to borrow more money from Kim. Abdi then borrows 2/5 of how much he owes. By what fraction of a dollar does the amount Abdi owes Kim change?


D. Abdi owes Kim 3/4 of a dollar. He pays her 2/5 of how much he owes. What fraction of a dollar does Kim receive from Abdi?

Answers

Answer:

D.

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

when you have a multiplication of fractions, the multiplication sign always means "of".

in this example, 3/4 × 2/5 means 3/4 of 2/5.

Victor sold cupcakes and cookies yesterday. Each cupcake sold for $2.25 and each cookie sold for $0.50. At the end of the
day, Victor had sold $95.25 worth of cookies and cupcakes. If he sold 68 cupcakes and cookies combined, how many
cupcakes were sold and how many cookies were sold?

Answers

answer:number of cupcakes sold is 13  Number of cookies sold is 27  

Step-by-step explanation:

Let x represent the number of cupcakes that Victor sold.  Let y represent the number of cookies that Jane sold.  Each cupcake sold for $2.25 and each cookie sold for $0.50. At the end of the day,  This mean Victor had 2.25x 0.5y = 42.75 - - - - - - - - - -1she sold 40 cupcakes and cookies combined, it means thatx y = 40Substituting x = 40 - y into equation 1, it becomes2.25(40 - y) 0.5y = 42.7590 - 2.25y 0.5y = 42.75- 2.25y 0.5y = 42.75 - 90- 1.75y = - 47.25y = - 47.35/-1.75y = 27x = 40 - yx = 40-27 = 13

An equation is formed when two equal expressions. The number of cupcakes that Victor sold is 35, while the number of cookies that Victor sold is 33.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the number of cupcakes sold be represented by x, while the number of cookies sold is represented by y.

Now, the total number of cupcakes and cookies sold combined is equal to 68. Therefore, the equation can be written as

x + y = 68

x = 68 - y

Also, Each cupcake sold for $2.25 and each cookie sold for $0.50. And the total sale that Victor made is of $95.25. Therefore, the equation can be written as,

2.25x + 0.50y = 95.25

2.25(68 - y) + 0.5y = 95.25

153 - 2.25y + 0.5y = 95.25

-2.25y + 0.5y = 95.25 - 153

1.75y = 57.75

y = 33

Now, substitute the value of x in the first equation.

x + y = 68

x + 33 = 68

x = 35

Hence, the number of cupcakes that Victor sold is 35, while the number of cookies that Victor sold is 33.

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Find the measure, or missing arc, or central angle.

Answers

Answer:

130°

Step-by-step explanation:

missing central angle =360-148-82=130°

You want to spend less than $39 at a local fair. Admission is $24 and each ride cost $2.50. At most, how many ride can you go on? Write and solve an inequality to model this situation.

6 rides : 2.50r + 24 < 39
5 rides : 2.50r + 24 < 39
5 rides : 2.50r + 39 < 24
6 rides : 2.50 + 24r > 39

Answers

Answer:

A

Step-by-step explanation:

Answer:

6 rides: 2.50r+24 39

Step-by-step explanation:

6 rides: 2.50r+424 39

Please help!!! Urgent


Which equation can be used to find the nth term of the sequence, an?

3, 15, 75, 375, 1875, ...


an=5⋅0.6n−1

an=5⋅3n−1

an=0.6⋅5n−1

an=3⋅5n−1

Answers

Answer:

D. aₙ = 3*5ⁿ⁻¹

Step-by-step explanation:

Given sequence:

3, 15, 75, 375, 1875, ...

We observe this is a GP with the first term of 3 and common ratio of 5.

Equation for the nth term is:

aₙ = a₁rⁿ⁻¹aₙ = 3*5ⁿ⁻¹

Correct choice is D

Hunter has 56 chocolate bars. He wants to share them evenly with his 7 friends. How many chocolate bars will Hunter and his friends have?

Answers

Answer:

8 chocolate bars

Step-by-step explanation:

56 / 7 = 8

( / = divide)

The sign shows the price of dog food at a local grocery store. DOG FOOD $3.50 FOR 1 POUND What is the price for 7.5 pounds of dog food?

Answers

Answer:

26.25

Step-by-step explanation:

Multiply the Price by the pound.

If Colby walked all three trails in one​ day, how far would he​ walk? Write the answer in meters and in kilometers. LOADING... Click the icon to see the metric units of length. Trail Length Spring Hollow 3 km Brookside 1,800 m Oak Ridge 2 km 200 m Colby would walk nothing ​m, or nothing km.

Answers

Answer:

21

Step-by-step explanation:

3/32 in simplest form

Answers

it is already in simplest form.

Solve for possible values of x. 3x^2 = 18x

Answers

(0,0) and (6,0)

First we subtract 18x from both sides

3x²-18x=0

Factor out a 3x

3x(x-6)=0

This means that x is either 0 or 6

Answer:

3×^2=3^3

or; same base get canceled so

x^2=3

hence x=√3

a parallelogram is shown below. Which equation best represents the formula for the area of the parallelogram?

(yall im failing math and my dad will probs disown me if i get held back just bc im failing one math class, thanks <3)

Answers

The area of a parallelogram is length x height.

The answer would be C. A = 12 • 8

HELP PLEASE 10 POINTS AND BRAINLIST FOR ANSWER!
What is the weight of a square if a triangle weighs 4 grams? Explain your reasoning

Answers

Answer:

2 grams

Step-by-step explanation:

One can see that the given diagram is that of a balancing scale, meanig that both sides are equal to each other. Therefore,  if one calls the weight of the triangle (t), then one can form an equation. Keep in mind that it is given that the square weighs (4) grams, and therefore, the square doesn't need a variable representation.

t + 4 + 4 = t + t + t + 4

Simplify,

t + 8 = 3t + 4

Inverse operations,

t + 8 = 3t + 4

   -4          -4

t + 4 = 3t

-t         -t

4 = 2t

/2   /2

2 = t

Answer:

2 grames

Step-by-step explanation:

please help!!! i don’t understand this :(

Answers

Answer:

yes

Step-by-step explanation:

nice

Dylan has a square piece of metal that measures 18 inches on each side. He cuts the metal along the diagonal, forming two right triangles. What is the length of the hypotenuse of each right triangle to the nearest tenth of an inch?

Answers

The answer is 25.5 inches enjoy

Which option is it?

Answers

Answer:

Yes, because the products of means is equal to the product of extreme

Step-by-step explanation:

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