Write an equation in slope-intercept form for the line between (2,7) and (6, 19)

Answers

Answer 1

Answer:

y= 3x +1

Step-by-step explanation:

Slope-intercept form:

y= mx +c, where m is the slope and c is the y-intercept.

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

☆ (x1, y1) is the 1st coordinate and (x2, y2) is the 2nd coordinate

Using the formula above, slope of line

[tex] = \frac{19 - 7}{6 - 2} \\ = \frac{12}{4} \\ = 3[/tex]

Subst. m=3 into the equation:

y= 3x +c

To find the value of c, substitute a pair of coordinates.

When x= 2, y= 7,

7= 3(2) +c

7= 6 +c

c= 7 -6

c= 1

Thus, the equation of the line is y= 3x +1.


Related Questions

Evan sells bicycles in his store. He marks up the prices by 40% of what he pays for them. If he
sells a gold bicycle for $180.49. how much did he buy it for?

Answers

Answer:

Step-by-step explanation:

1.40x = 180.49

x= $128.92

At the James Factory, the assembly line produces 89 pairs of jeans in a batch. The pairs of jeans are packaged in boxes with 11 each. If 7 batches are made in one day, how many pairs of jeans will be leftover at the end of it?

Answers

Answer:

7 pairs left over

Step-by-step explanation:

There will be 4 pairs of jeans left over at the end of the day.

What is the fraction?

A fraction is defined as a numerical representation of a part of a whole that represents a rational number.

The total number of pairs of jeans produced in one day is:

89 pairs/batch x 7 batches = 623 pairs

The number of boxes needed to pack all the pairs of jeans is:

623 pairs / 11 pairs/box = 56.63636... boxes

Since you cannot have a fraction of a box, you need to round up to the nearest whole number of boxes:

57 boxes

The number of pairs of jeans packed in 57 boxes is:

57 boxes x 11 pairs/box = 627 pairs

Therefore, the number of pairs of jeans left over at the end of the day is:

627 pairs - 623 pairs = 4 pairs

Thus, there will be 4 pairs of jeans left over at the end of the day.

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55 points and brainliest
What is the equation of the function that is graphed as line a?



y = 2 x - 1
y = - x - 1
y = - x
y = 3 x

Answers

Answer:

B. y = - x - 1

Step-by-step explanation:

Line a is declining and has the y-intercept of -1

The equation with negative slope and - 1 y-intercept is:

y = - x - 1

Correct option is B

Question:-

55 points and brainliest

What is the equation of the function that is graphed as line a?

y = 2 x - 1y = - x - 1y = - xy = 3 xOption:-

[tex]y = - x - 1[/tex]

Is 6/10 more than 3/4

Answers

Answer:

3/4 is greater

Step-by-step explanation:

3/4 > 6/10

Answer:

3/4 is more

Step-by-step explanation:

divide 6/10 by 2 to get a simpler fraction. that will be 3/5. to make 3/5 and 3/4 have a common denominator you need to multiply 3/5 by 4 which is 12/20, then 3/4 by 5 which is 15/20.

$99.99, 19% discount​

Answers

Answer:

$80.99

Step-by-step explanation:

Turn the percentage into a decimal.

19% -> 0.19

Multiply.

99.99 * 0.19 ≈ 19

Subtract.

99.99 - 19 = 80.99

Best of Luck!

2) 8x +9y = 82
2x + 2y = 20

Answers

X=8 and y=2 solved using elimination

Greta currently works 45 hours per week and earns a weekly salary of $729. She
will soon be starting a new job where her salary will be increased by 10% and her hours reduced by 10%.

How much more will she be earning per hour at her new job?

PLEASE SHOW YOUR WORK!!

Answers

Answer:

Greta will be earning 3.6/h more at her new job.

Step-by-step explanation:

To find the difference subract Greta‘s salary from her current job from Greta’s salary from her future job.

To find Greta’s salary (numerator) at her future job divide her current weekly salary ($729) by 45h then multiply that answer (16.2) by the increase in salary 10% or 1.1. You should end up with $17.82- this is your numerator. To find the denominator divide her current hours (45h) by 45 then multiply that answer (1) by 0.9 which is the 10% decrease in hours. Now you have a fraction ($17.82/0.9) then multiply that fraction by 1.1/1.1 to get the denominator to 1 hour so you can subtract the fractions. You should end up with $19.8/h.

Now subtract Greta’s current salary ($16.2/h)- you just take the numbers from the first part before you increase or decrease- from her future salary ($19.8/h), you will end up with 3.6/h.

I was challenged to write this in a single equation:

[((($729\45h)x1.1)/((45h\45)x0.9))x1.1/1.1]-[($729\45h)/(45h\45)]

=$3.6/h

/ means a fraction bar

\ means division

Also I am just a student so please tell me if you find any mistakes I could fix or any suggestions to make this a better explanation, and if you have any questions ask away.

in which equation is y a nonlinear function of x ? will Mark brainiest is for the correct answer please help me​

Answers

9514 1404 393

Answer:

  (B)

Step-by-step explanation:

The power of x is 1 everywhere except equation (B), where it is 1/2.

Equation B is a nonlinear function of x.

Answer:

Step-by-step explanation: D

What is the definition of Spike protein?

Please helppp

Answers

Answer: a glycoprotein that protrudes from the envelope of some viruses (such as a coronavirus) and facilitates entry of the virion into a host cell by binding to a receptor on the surface of a host cell followed by fusion of the viral and host cell membranes

how much would 11 trillion divided equally amongst 300 million people be? Time sensitive question

Answers

Answer:

36666.6666667

Step-by-step explanation:

Cant really be equal

Consider that the federal debt is $11 trillion which is divided equally among 300 million people.
To solve the problem mentally, express both in terms of billion.
Since 1 trillion is 1000 billion, so 11 trillion is =11x1000
11,000 billion

Since 1 billion is 1000 million, so 300 million is
300/1000
=0.3 billion



HELP ASAP PLEASE!



The net for a triangular prism is shown below. What is the total surface area of the prism? 6.9 cm 8 cm 10 cm 8 cm 0 55.2 square centimeters 0 295.2 square centimeters 0 240 square centimeters 0 552 square centimeters​

Answers

Answer:

Step-by-step explanation:

The area of each rectangle is Length x width

Therefore Area of rectagle is 8cm x 10 cm=

A= 80 cm 2

There are three rectangles with the same measure so multiply the area by 3

80cm squared x 3= 240 cm 2

Now find the are of the triangle:

A- 1/2 x base x height

Base = 8cm

Height = 6.9 cm

A= (1/2) (8cm) (6.9cm)

A= (1/2) (55.2 cm squared)

A= 27.6 cm squared

Since there are two triangle faces with the same dimensions take the area and multiply it by 2

27.6 cm squared times 2 = 55/2 cm squared

Now add up the area of the rectangles and the area of the triangles.

Rectangles= 240 cm squared

Triangles 55.2 cm squared

240cm sq + 55.2 cm sq.= 295.2 cm squared


The price of an item yesterday was $40. Today, the price fell to $22. Find the percentage decrease.

Answers

Answer:

45%

Step-by-step explanation:

40 * .45 = 18

40-18 = 22

The percentage decrease of an item would be 45%.

What is the percentage?

The percentage is defined as a ratio expressed as a fraction of 100.

We can determine the value of the percentage decrease by the following formula,

percentage decrease = (initial value - reduced value) / initial value × 100%

As per the given question, we have

initial value = $40, and reduced value = $22

Substitute the values in the above formula, and we get

percentage decrease = (40 - 22) / 40 × 100%

percentage decrease = (18) / 40 × 100%

percentage decrease = 0.45 × 100%

Apply the multiplication operation, and we get

percentage decrease = 45%

Thus, the percentage decrease of an item would be 45%.

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What is the constant of proplity?
O 0.75
O 0.8
01.25
O 1.5

Answers

the answer to the problem- 1.5

please help.................

Answers

Answer:

Is that thick line an equal or a minis sign? I cant see it.

Grocery store scales are occasionally checked by inspection agencies for their accuracy in reporting the weights of purchased merchandise. Scales are allowed to operate as long as the percent error of their reported weights is within 0.5% of the actual weight measured. If you wanted to purchase 15.0 pounds of flour, what range of weights is the scale allowed to report in order to be compliant with local inspection agency regulations.

Answers

Answer:

The range of weights in the scale allowed to report in order to be compliant with local inspection agency regulations is between 14.925 pounds and 15.075 pounds.

Step-by-step explanation:

The weights should be within 0.5% of the actual weight measured.

15.0 pounds

0.005*15 = 0.075

Tolerance of 0.075 pounds

15 - 0.075 = 14.925 pounds

15 + 0.075 = 15.075 pounds

The range of weights in the scale allowed to report in order to be compliant with local inspection agency regulations is between 14.925 pounds and 15.075 pounds.

Drag the cards to create a number that matches these rules. • The number ends in the tenths place. 50 is the nearest ten when rounding 3. 8 4​

Answers

Drag the cards to create a number that matches these rules. • The number ends in the tenths place. 50 is the nearest ten when rounding 3. 8 4

Which explains why a caterpillar might look like a dangerous snake? *
(10 Points)
O A. The caterpillar and the snake have the same DNA.
B. The caterpillar and the snake have the same predators.
O C. An anti-predator adaptation has evolved in the caterpillar.
D. A behavioral adaptation has evolved in the caterpillar.

Answers

Answer:

C - An anti-predator adaptation has evolved in the caterpillar.

Step-by-step explanation:

An anti-predator adaptation has evolved in the caterpillar. By caterpillar might look like a dangerous snake.

What is adaptation?

The term adaption refers to that, In biology, there are three related definitions of adaptation. First, natural selection, a dynamic evolutionary process, adapts.

The organisms to their environments, improving their evolutionary fitness. Second, it is a state that the populace has attained throughout that process.

Both predator and prey species use a variety of camouflage strategies to survive, including adopting the appearance of fearsome or unappealing creatures.

Therefore, The right option (C) is correct.

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What is 8/12 + A/12=2/b

Answers

Answer:

A = -4

B = 12

Step-by-step explanation:

A is -4 because 8 - 4 is 2. B is 12 because both of the denominators are 12 so the answer's denominator should also be 12.

Hope it helps!

Please help! I need by tomorrow

Answers

i don’t understand.
online school is hard

What is the slope of the line: Y= -5x subtract 15?

Answers

Answer:-5

Step-by-step explanation:

m is considered the slope

y=mx-15

And in this situation m=-5

So slope = -5

One number is one more than a second number. Five times the first is 6 less than 4 times the
second. Find the numbers.

Answers

9514 1404 393

Answer:

  the numbers are -10 and -11

Step-by-step explanation:

Let x represent the second number. Then the first number is x+1, and the relation can be written ...

  5(x+1) = 4x -6

  x = -11 . . . . . . . . subtract 4x+5

The first number is -10; the second number -11.

Consider the sequence 4,-12,36,-108... is it a arithmetic sequence or a geometric sequence justify your answer

Answers

Answer:

Geometric Sequence

Step-by-step explanation:

It's a geometric sequence because it has a common ratio of -3.

0.345 times 83.8 I forgot how to do it .w.

Answers

Answer:

28.911

Step-by-step explanation:

you just have to open up a calculator lol

Which value is an input of the function?
-14
-2
0
4

Answers

Answer:

4

Only answer on the x-axis

Answer:

It's 4.

Step-by-step explanation:

Did the  test on edge2021

Children’s pony ride at a zoo please help I mark brainliest

Answers

Answer:

78.5 feet OR (25 x pi) feet

Step-by-step explanation:

You need to find the circumference.

C = 25 x 3.14

C = 78.5 feet

           OR

C = 25 x pi

Hope that helps!

Answer






78.5 i think






.





.

What is the derivative of sech u with respect to x?

Answers

Answer:

[tex]\displaystyle \frac{dy}{dx} = -u'sech(u)tanh(u)[/tex]

General Formulas and Concepts:

Calculus

Differentiation

DerivativesDerivative Notation

Derivative Rule [Chain Rule]:                                                                                 [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Step-by-step explanation:

*Note:

This is a known derivative (apply trigonometric differentiation).

Step 1: Define

Identify

[tex]\displaystyle y = sech(u)[/tex]

Step 2: Differentiate

Hyperbolic Differentiation [Derivative Rule - Chain Rule]:                         [tex]\displaystyle y' = -u'sech(u)tanh(u)[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

When Trudy planted a large bush in her garden, it was 2 feet tall. Now it is 50% taller. How tall is the bush now?

Answers

Answer: 3 feet tall

Step-by-step explanation:

50% of something is also 1/2 of it. So if we multiply 2 by 1/2 or .5, we get 1. So then we take 1 and add it to 2 because it is 50% taller than what it used to be.

A directed line segment starts at (1.0) and ends at (4.6), Point R partitions the segment
in the ratio of 2 to 1. What are the coordinates of point R?
(PLEASE HELP ASAP)

Answers

9514 1404 393

Answer:

  (3.4)

Step-by-step explanation:

The length of the given segment is 4.6 -1.0 = 3.6. The first portion of the division will be 2/(2+1) = 2/3 of that length, or (2/3)(3.6) = 2.4.

Then the coordinates of point R are ...

  (1.0) +(2.4) = (3.4)

__

Additional comment

We cannot tell if your coordinates are supposed to be Cartesian coordinates (1, 0) and (4, 6), or if they are points on a number line. As it happens, it makes no difference. The final answer is interpreted the same way the given coordinate points are interpreted: 3.4 on a number line or (3, 4) on a plane.

40% of
a number is 8 more than the
number
Which is the number

Answers

Do you mean 8 more smaller if so the answer to your question is
X+y=40
Y=8 + x
Substituting the second equation into the first:
X+(8+x)=40
2x+8=40
2x=32
Smaller number: x=16
Y=8+(16)
Large number: y=24

13 POINTS AND WILL BE MARKED BRAINLIEST IF CORRECT!

Answers

Answer:

I think its 144!!!!!!!!!!!!!!!!!!

Answer:

Diagram 2  (Bottom diagram)

Step-by-step explanation:

The ratio is twice as many (2)

2:1

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