Graph the line with slope of 5/3 and goes through the point (2,1).

Answers

Answer 1

Answer:

so graph your first point. (x=2, y=1)

Step-by-step explanation:

Your 5/3 is your rise over run. So go up 5 from 2 you should be at 7 and over 3 from your 1  so your next point would be (x=7, y=4) now get a ruler and connect your two points. make sure to use a ruler to make your line straight.  

Answer 2

To graph a line with a slope of 5/3 and passes through the point (2, 1), we can use the slope-intercept form of a linear equation, which is given by:

y = mx + b

where:

- y and x are the coordinates of any point on the line

- m is the slope of the line

- b is the y-intercept (the point where the line crosses the y-axis)

Given the slope (m = 5/3) and the point (2, 1), we can substitute these values into the equation and solve for the y-intercept (b):

1 = (5/3)(2) + b

1 = 10/3 + b

To isolate b, we subtract 10/3 from both sides:

1 - 10/3 = b

-7/3 = b

Now we have the values of m and b, so we can write the equation of the line:

y = (5/3)x - 7/3

To graph the line, we plot the y-intercept at (0, -7/3), and then use the slope (5/3) to find additional points on the line.

Since the slope is positive, we can move up 5 units vertically and 3 units horizontally from the y-intercept to find another point. We repeat this process to find more points if needed.

Thus, using this, one can plot the graph.

For more details regarding graph, visit:

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Related Questions

Write the 4th term of the sequence defined by the explicit rule, f(n) = 3n^2 + 7. (n^2 means n squared)

Answers

Answer:

55

Step-by-step explanation:

I'm assuming n is the term #..

[tex]f(4) = 3(4)^2+7[/tex]

f(4) = 3 * 16 + 7

f(4) = 48 + 7

f(4) = 55

a piece of cloth was 30 feet long. how long is this cloth in yards? one yard = 3 feet​

Answers

Answer:

10 yards

Step-by-step explanation:

Every 1 yard is 3 feet, the cloth is 30 feet
30 ÷ 3 = 10

The cloth is 10 yards.

Hope this helps!

2. A sandwich shop has 48 pounds of sliced turkey.
Each 8-inch sub sandwich is made with pound
of turkey. How many 8-inch sandwiches can the
shop make?
A. 80
B. 72
C. 48
D. 32​

Answers

Answer:

the answer is C. 48

Step-by-step explanation:

What is the product of 3/5x4/9

Answers

Answer: 4/15

For fraction multiplication, multiply the numerators and then multiply the denominators

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 12 and 45 using

GCF(12,45) = 3

Therefore: it's 4/15

Hope this helps (>'-'<)

a square has a diagonal length of 5. find the side length of the square. express your answer in simplified radical form.

Answers

Answer:

Step-by-step explanation:

Find the area
———————-

Please help i’ve been stuck for so long

Answers

Check the picture below.

[tex]\stackrel{\textit{\Large Areas}}{\stackrel{semi-circle}{\cfrac{1}{2}\pi (2)^2}~~ + ~~\stackrel{rectangle}{(4)(9)}~~ + ~~\stackrel{triangle}{\cfrac{1}{2}(5)(4)}}\implies 2\pi +36 + 10~~ \approx ~~ 52.28[/tex]

How can x-2/3=5/6 be solved for x in one step

Answers

Answer:

12

Step-by-step explanation:

Okay I need help:
F(x)=x^2-5 find f(3)

Answers

f(x) = x^2 -5

Find f(3)

This means find x when it is 3 so just substitute 3 for x

f(3) = 3^2 -5

= 9 - 5

f(3) = 4

Answer:

f(3)=4

Step-by-step explanation:

f(x)=x^2-5

f(3)=3^2-5

f(3)=3*3-5

f(3)=9-5

f(3)=4

7. Write the explicit formula for the geometric
sequence 32, 16, 8, 4,...

Answers

Answer:

The sequence is the ratio of 4:8, or 16:32. This is because the sequence needs to be divided into 2 different factors in order for it to match. The sequence is...

add 4, add 8, add 16, continue on.

The formula is...

4 * x = sequence

In this case, x is the increasing factor. I substituted it due to the fact that it's a constantly increasing number, not just a straight-up number we can declare.

plz help me with this

Answers

Answer: 2/5

Step-by-step explanation: 2/5 because it is less than 1 so it shrinks.

The ozone layer helps to sustain terrestrial life by __________.
a.
absorbing incoming UV radiation
b.
keeping levels of ozone in the troposphere low
c.
maintaining the Earth's temperature structure
d.
all of the above


Please select the best answer from the choices provided

A
B
C
D

Answers

Answer:

the answer is D.all of the above

Step-by-step explanation:

The ozone layer helps to sustain terrestrial life by absorbing incoming UV radiation.

Option A is the correct answer.

What is an ozone layer?

The ozone layer is a layer of gas in the Earth's stratosphere that helps to protect the planet from the harmful effects of ultraviolet (UV) radiation from the sun.

We have,

UV radiation can cause damage to living organisms, such as skin cancer, cataracts, and other health problems.

The ozone layer absorbs much of this radiation, preventing it from reaching the Earth's surface and thus helping to sustain terrestrial life.

Option B is incorrect because the ozone layer is located in the stratosphere, above the troposphere.

Option C is incorrect because while the ozone layer can play a role in maintaining the Earth's temperature, its primary function is to absorb UV radiation.

Option D is incorrect.

Thus,

The ozone layer helps to sustain terrestrial life by absorbing incoming UV radiation.

Learn more about the ozone layer here:

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12 points!! plz help

Answers

Answer:

The answer would be C im positive

Step-by-step explanation:


Please help me answer this question please?

Write the resulting equation of C^2=N^2

Answers

Answer:

(c+n)(c-n)=0 I think I'm not so sure

HELP ASAP PLEASE WILL MAKE BRAINLEST (show work if possible)

Answers

Answer:65

Step-by-step explanation: sorry if its wrong

Need help please!!! Worth 15 points

Answers

I believe it’s 1 1/4 inch

Equation:

10 3/4 - 9 1/2


Change the 1/2 into 2/4


10 3/4
- 9 2/4
————
1 1/4

16.8=14c Please answer

Answers

Answer: C=1.2

Explanation: 14c=16.8 divide both sides by 14 giving you 1.2 then to make sure, multiply 1.2 by 14 which should give you 16.8

Can't figure this out, have been trying for a half hour now.

Answers

Answer:

45

Step-by-step explanation:

this is correct this is correct

A taxicab service charges customers by the mile. The graph
shows the number of miles a taxicab drives and the amount of
money the customer pays.
Which statement best describes the rate of change for the
situation?
The amount a customer pays increases $0.50 per
mile driven
The amount a customer pays increases $0.60 per
mile driven
The amount a customer pays increases $12 per mile
driven.
The amount a customer pays increases $21 per mile
driven

Answers

Answer:

The second option: The amount a customer pays increases $0.60 per  mile driven.

Step-by-step explanation:

As seen on the graph, we are given the points (20,12) and (35,21).

This means that at 20mi driven, the amount paid is $12, and at 35mi driven, the amount is $21.

To find the rate of change we divide the distance driven by the cost to find the cost per mile:

20/12 = 0.6

35/21 = 0.6

The slope is 0.6, so it costs an extra $0.6 for every mi driven. Therefore it is the second option: The amount a customer pays increases $0.60 per  mile driven.

Hope this helped!

Answer:

The amount a customer pays increases $0.60 per mile driven.

Step-by-step explanation:

$0.6/mi is the rate of change, y = mx + b, so m.is also called rate of change & b is the initial value of x, in the graph b = 0. making m the subject of the equation, then m(roc) = 0.6.

find the value of the expression |x|/x id x=-8,-5,1,7,128 write the expression without the absolute value symbol for these values of x x>0

Answers

Using the definition of the absolute value function, it is found that:

The result of the expression is of -1 for x = -8 and x = -5.The result of the expression is of 1 for x = 1, x = 7 and x = 128.

What is the absolute value function?

It measures the distance of a point x to the origin, and is defined by:

[tex]|x| = -x, x < 0[/tex]

[tex]|x| = x, x \geq 0[/tex]

As for the expression used in this problem:

[tex]\frac{|x|}{x} = -\frac{x}{x} = -1, x < 0[/tex]

[tex]\frac{|x|}{x} = \frac{x}{x} = 1, x > 0[/tex]

Hence:

The result of the expression is of -1 for x = -8 and x = -5.The result of the expression is of 1 for x = 1, x = 7 and x = 128.

More can be learned about the absolute value function at https://brainly.com/question/24734454

Answer:

just to be clear the answers are here:

Step-by-step explanation:

If x=1, then |x|/x= 1

If x=7, then |x|/x=1

If x=128, then |x|/x=1

If x>0, then |x|/x=1

If x=-8, then |x|/x=-1

If x=-5, then |x|/x=-1

If x<0, then |x|/x=-1

I hope u have a nice day :)

A measurement is taken to be 13.6 in. and the absolute error is 0.05 in. What
is the percent of error? Round off your answer to 3 decimal places. *

Answers

Given parameters:

True value of measurement  = 13.6in

Absolute error = 0.05in

Unknown:

Percent of error = ?

Solution:

  Error is an inconsistency introduced into a particular data set or reading.

% error = [tex]\frac{absolute error}{true value}[/tex] x 100

  % error = [tex]\frac{0.05}{13.6}[/tex] x 100  = 0.368%

Percent error  is 0.368%

Solve the equation

3/2 - 6x) + 1 = 3 – 5x.

Answers

Answer:

x = - 1/2

Step-by-step explanation:

(3/2 - 6x) + 1 = 3 - 5x

-6x + 5/2 = 3 - 5x

5/2 = 3 - 5x + 6x

5/2 = 3 + x

5/2 - 3 = x

-1/2 = x

x = -1/2

Please mark me the brainliest!?!

[tex] \frac{3}{2} - 6x +1 = 3 - 5x \\ [/tex]

Plus sides 6x

[tex] \frac{3}{2} - 6x + 6x + 1 = 3 - 5x + 6x \\ [/tex]

[tex] \frac{3}{2} + 1 = 3 + x \\ [/tex]

Subtract sides -3

[tex] \frac{3}{2} + 1 - 3 = 3 - 3 + x \\ [/tex]

[tex] \frac{3}{2} - 2 = x \\ [/tex]

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

[tex]x = - \frac{1}{2} \\ [/tex]

Done.....♥️♥️♥️♥️♥️

WILL GIVE BRAINIEST AND EXTRA 100 POINTS FOR ANSWERING THIS QUESTION CORRECTLY!!

Answers

Answer: y = (1/7) x - 2

Step-by-step explanation:

The slope-intercept form of an equation is y = mx + b, where m is the slope and b is the y-intercept.

The slope of an equation is the change in y over the change in x.

We can see from the image that every time the line increases by 1 in the rise (y), it increases by 7 in the run (x).

Therefore, the slope is 1/7.

The y-intercept of a line is the point at which it intercepts the y-axis.

From the image, we can see that it intersects at the point (0,-2)

Therefore, the slope-intercept form is y = (1/7) x - 2

Take two points

(0,-2)(-7,-3)

Slope:-

[tex]\\ \sf\longmapsto \dfrac{-1}{-7}=\dfrac{1}{7}=m[/tex]

Equation in point slope form

[tex]\\ \sf\longmapsto y+3=1/7(x)[/tex]

[tex]\\ \sf\longmapsto y=1/7x-3[/tex]

I don’t know what to do with

Answers

Answer:

above is the solution to the question

Answer:

the answer will be 5.3. area is 0ne over two base times height

Write as a product of two binomials. 22 - 2x + 2 - 2

Answers

It’s 22-2x, I think...

F(x) = - 2x -4
What is x when F(x) = 10.
Your answer:
a. 11
b. -8
C.-7

Answers

Answer:

C

Step-by-step explanation:

f(x) = -2x-4

When, f(x) = 10,

-2x-4 = 10

-2x = 14

x = -7

Answer is C

Order the numbers from greatest to least. [-0.5, 1.5, 0, -5, 1.25]

a. 0, 1.5, 1.25, -0.5, -1.5 b. -0.5, -5, 0, 1.5, 1.25

c. 1.5, 1.25, 0, -5, -0.5 d. 1.5, 1.25, 0, -0.5, -5

Answers

The answer would be D

Answer:

d

Step-by-step explanation:

-5 is the least because it is the furthest from zero, -0.5 is greater than -5 because it is closer to zero, zero is zero, 1.25 is less than 1.5

In ΔOPQ, \text{m}\angle O = (2x-5)^{\circ}m∠O=(2x−5) ∘
, \text{m}\angle P = (3x-8)^{\circ}m∠P=(3x−8) ∘
, and \text{m}\angle Q = (10x-17)^{\circ}m∠Q=(10x−17) ∘. What is the value of x?x?

Answers

Answer: 14

Step-by-step explanation:

Last summer, 80 students signed up for a summer trip to Washington, D.C. This summer, 94 students signed up. To the nearest percent, what is the percent change in the number of students who signed up for the trip?v

Answers

Answer:

94-80=14/80×100=35÷2=17.5

Which is one reason why this expression is equal to 0 0 ? Math item stem image CLEAR CHECK The same number appears in the numerator and denominator. The sum of any number and its opposite is 0 0 . The expression does not equal 0 0 . The product of any numb

Answers

Answer:

sorry i didnt understand try explain more better

Answer:

Answer is c

Step-by-step explanation:

Identify the value of y.
(5y-6) = (2y×9)-32

I need help

Answers

Answer:

y=2

Step-by-step explanation:

5y-6=(2y*9)-32

5y-6=18y-32

32-6=18y-5y

26=13y

26/13=13y/13

2=y

y=2 [Answer]

Please rate and mark me the brainiest!!

Hey there!

Let's solve your equation step-by-step.

[tex]\fbox{5y−6=2y(9)−32}[/tex]

Step 1: Simplify both sides of the equation.

[tex]\fbox{5y−6=2y(9)−32}[/tex]

[tex]\fbox{5y+−6=18y+−32}[/tex]

[tex]\fbox{5y−6=18y−32}[/tex]

Step 2: Subtract 18y from both sides.

[tex]\fbox{5y−6−18y=18y−32−18y}[/tex]

[tex]\fbox{−13y−6=−32}[/tex]

Step 3: Add 6 to both sides.

[tex]\fbox{−13y−6+6=−32+6}[/tex]

[tex]\fbox{−13y=−26}[/tex]

Step 4: Divide both sides by -13.

[tex]\fbox{−13y/−13 = −26/−13}[/tex]

[tex]\fbox{y=2}[/tex]

Answer:

[tex]\fbox{y=\fbox{2}}[/tex]

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