What is the slope of the line represented by 9x - 14y = 28?

Answers

Answer 1

Answer:

The slope of the line is [tex]\displaystyle \frac{9}{14}[/tex].

Step-by-step explanation:

We are given the line in standard form:

[tex]9x - 14y = 28[/tex]

We need to get this into slope-intercept form in order to determine the slope of the line.

Slope-intercept form is [tex]y = mx + b[/tex], where m is our slope and b is the y-intercept.

Therefore, we need to get:

[tex]9x - 14y = 28[/tex]

converted to:

[tex]y = mx +b[/tex].

[tex]\displaystyle 9x - 14y = 28\\\\-14y = -9x + 28\\\\\frac{-14y}{-14}=\frac{-9x+28}{-14}\\\\y = \frac{9}{14}x-2[/tex]

Therefore, by solving the equation in slope-intercept form, we see that m equals 9/14, so our slope is [tex]\displaystyle \frac{9}{14}[/tex].


Related Questions

How do ik if the graph represents a function

Answers

Answer:

use the vertical line test you can not have more than one point on a vertical line (or a x value)

Step-by-step explanation:

Answer/Step-by-step explanation:

If the graphs relation is a function it will never repeat its x-values. In a function, there should only be 1 output(y) for each single input(x). Each x must correspond with only one y value.

Find the slope of the line.​

Answers

Answer:

the slope is 1

Step-by-step explanation:

Slope is 1 hope that helps!

Albert needs $133 to buy a new hard drive. He earns $4.75 for each car he washes. If he spends $19 in supplies, write and solve an equation to find the number of cars he needs to wash to reach his goal.

Answers

Answer:

Albert needs 32 cars to wash to reach his goal.

Step-by-step explanation:

We know that the slope-intercept form of a linear function is

[tex]y = mx+b[/tex]

where m is the slope or rate of change and b is the y-intercept

It is stated that Albert needs $133 to buy a new hard drive.

Let 'y' be the amount Albert needs.

As earns $4.75 for each car he washes. Thus, $4.75 the rate of change or slope will be.

As he spends $19 on supplies. Since it is an expense, so -19 is basically the y-intercept 'b'.

Let 'x' be the number of cars he needs to wash to reach his goal.

Thus, substituting the value m = 4.75, y = 133, and b=-19 in the slope-intercept form of a linear function

y = mx+b

133 = 4.75x - 19

133+19 = 4.75x

152 = 4.75x

x = 152 / 4.75

x = 32

Therefore, Albert needs 32 cars to wash to reach his goal.

Solve in simultaneou linear equation.
The total cost of bag and an umbrella is Rs 2000.If the cost of the bag is Rs 1000 less five times the cost of the umbrella ,find the cost of each of these two items.

Answers

Answer:

The bag costs 1500, while the umbrella cost 500

Step-by-step explanation:

Let the cost of the bag be b and the cost of the umbrella be u

Total cost is;

b + u = 2,000 •••••(i)

From the second part of the question;

b = 5u-1000 ••••••(ii)

Substitute ii into i

5u-1000 + u = 2000

6u = 2000 + 1000

6u = 3000

u = 3000/6

u = 500

To get b, substitute the value of u into equation ii

b = 5(500)-1000

b = 2500-1000

b = 1500

I think of a number q, multiply it by 2 and add 5. I get the same answer as when I minus 2 from q. Find the value

Answers

Answer:

Q is -7

Step-by-step explanation:

Q×2+5=x

Q-2=x

Q=-7

Which equation describes the line that passes through (-3,1) and is parallel to the line described by y =4x+1

Answers

Parallel = same slope
Y = 4x + b
Plug in the point
1 = 4(-3) + b
1 = -12 + b, b = 13
Solution: y = 4x + 13

Either Table A or Table B shows a proportional relationship.

Table A

x −2 −1 0 1
y 2 3 0 5


Table B

x −1 0 1 2
y −3 0 3 6


Plot the points from the table that shows a proportional relationship.

Answers

Answer:

the answer is table B

Step-by-step explanation:

Answer:

Table B shows a proportional relationship

Explanation:

In a proportional relationship two quantities vary directly with each other.

So,

y ∝ x

y = kx

Where, k is the constant of variation.

The ordered pairs of table A are (-2,2), (-1,3), (0,0) and (1,5).

From these ordered pairs we can conclude that the value of y-coordinate is not changing according to the x-coordinate because the values of x increased by 1 for each ordered pair but the value of y is not increasing in the same proportion..

The ordered pairs of table B are (-1,-3), (0,0), (1,3) and (2,6). The value of y increasing at a constant rate 3 and the value of y-coordinate is 3 times of x-coordinate.

Choose any two ordered pairs of table B. Let the two points are (0,0) and (1,3).

The proportional relationship is defined as

y = 3x

Therefore, 3 is the constant of variation and rate of change.

So, Table B shows a proportional relationship.

Divide 129/4.3 by 4.3

Answers

Answer:

6.97674418605

Step-by-step explanation:

thats what i got .-.

Answer:

6.97674418605

Step-by-step explanation:

What is the relationship between two similar quadrilaterals and their areas?

Answers

Quadrilaterals with same length and breadth or height have same areas.

Step-by-step explanation:

You can prove this by drawing two quadrilaterals individually and then by calculating there areas.

t the ratio of the perimeters of similar figures is equal to their scale factor and that the ratio of their areas is equal to the square of their scale factor.

solve for x.


2/3x = 10

Answers

Answer:

x=15

Step-by-step explanation:

2/3x = 10

To find x divide both sides by 2/3.

2/3x÷2/3 = 10÷2/3

x=15

Easy!! :3

Answer~

x = 15

Steps~

(2/3)*x = 10 // - 10

(2/3)*x-10 = 0

2/3*x-10 = 0 // + 10

2/3*x = 10 // : 2/3

x = 10/2/3

x = 15

------------------------------------------------------------------------

Hope i helped!!

Have a great day!!

( `w`)``

help!!!!!! what is 3/4 + 1/12?

Answers

Answer:

37/56

Step-by-step explanation:

what is the equation of a line that passes through the points (5,3) and (1,-5)? please put the answer on slope intercept form.​

Answers

Answer: Answer and explanation in picture

Step-by-step explanation:

Find the measure of the indicated angle:

A) 68°
C) 45°
B) 47°
D) 940

Answers

The correct answer is “A”

Is "The weight of a stack of standard 8.5x11 copier paper vs. number of sheets of paper." a proportional relationship?

Answers

Answer:Yes it is proportional because w=kp k=paper weight which is constant. The relationship between the weight of a stack of standard 8.5x11 copier paper vs number of sheets of paper is proportional.

Step-by-step explanation:

Answer: Yes it is a direct proportional relationship

================================================

Explanation:

The equation is in the form y = kx, where

x = number of sheets of paper

k = weight of 1 sheet of paper

y = weight of all the x sheets of paper

x is some nonnegative whole number. The values of y and k are some nonnegative real numbers (aka any decimal values).

Note how if we had x = 0 pieces of paper, then y = 0 is the weight. So no paper leads to no weight. This visually is shown by the line y = kx going through the origin. All direct proportion equations go through the origin.

Each time we add a sheet of paper, we add on k ounces or k grams, or whatever units you're working with. The amount is constant assuming you are dealing with the same type of paper. Comparing y = kx with y = mx+b, we see that k plays the role of the slope or rate of change.

Jolene buys 5/8 of a yard of fabric for $2.50. What is the price of the fabric per yard?

Answers

Answer:

4

Step-by-step explanation:

2.50/5=0.5

0.5*8=4

SOMONE PLEASE HELP ME WITH GEOMETRY PLZZZ


In the figure below, identify the altitude and the median.

Answers

Answer:

line CN is the altitude and AE is the median if i am correct

Step-by-step explanation:

A company has recently been hiring new employees. Today the company has 33% more employees than it did a year ago. If there are currently
53,200 employees, how many employees did the company have a year ago?

Answers

9514 1404 393

Answer:

  400

Step-by-step explanation:

If x represents the number of employees a year ago, the current number is ...

  x + 0.33x = 53,200

  x = 53,200/1.33 = 400

The company had 400 employees a year ago.

A school lunch program serves 13,000 students. The program orders 3,250 pounds of chicken for the students. Determine how many pounds of chicken each student can have.​

Answers

Answer:

0.25 or 1/4

Step-by-step explanation:

easy - 3250 pounds divided by 13000 students

everyone will get 0.25 or 1/4 of a pound of chicken

hope this helps!!

Have a nice day!

Select all simplified expressions of 3^4 divided by 3^9

Answers

What are the possible answers

Which measure describes how much a sample mean varies when different samples are chosen?

Answers

Step-by-step explanation:

the most common measure of how much sample mean differ from each other is the standard deviation of the sampling distribution of the mean. this standard deviation is called the standard error of the mean

YOU GET 100 POINTS plus BRALLIST!!!
PLEASE DON'T SCAM OR TROLL ME BECAUSE I WILL REPORT YOU and you will lose double the points and will lose your account!
evaluate the following expressions.
a. −58.49−(−95.09)
b. −20.04−74.14
c. −9.73+6.48
d. −69.2+(−5.81)
e. 22.47+(−76.5)
GOOD LUCK!!!

Answers

Answer:

A. 36.6

B. -94.18

C. -3.25

D. -75.01

E. -54.03

Answer:

a. 36.6

b. - 94.18

c. - 3.25

d. - 75.01

e. -54.03

Step-by-step explanation:

Hope this helps, have a great day

HEY CAN ANYONE PLS ANSWER DIS MATH PROBLEM!!!!

Answers

The answer would be c

Taylor is checking her bank statement for the month of November. She began the month with $175 in her account. She made two deposits for $100 each and also made two withdrawals was for $55. Write an addition expression to represent this situation.

Answers

Answer:

The addition expression that represents the situation is;

175 + 100 + 100 - 55 -55

Step-by-step explanation:

Here, we want to write an addition expression to represent the situation

While the deposits are considered positive, the withdrawals are considered negative

So the addition expression will be;

175 + 100 + 100 - 55 - 55

write the following as a fraction in simplest form and as a decimal:

143%

6%

1/2%

1.9%

3/4%

Answers

Answer:

1.43

0.06

0.005

0.019

0.0075

Step-by-step explanation:

143% = 143/100 = 1 whole 43/100 = 1.43

6% = 6/100 = 3/50 = 0.06

1/2% = 0.5% = 0.5/100 = 1/200 = 0.005

1.9% = 1.9/100 = 19/1000 = 0.019

3/4% = 0.75/100 = 75/10000 = 3/400 = 0.0075

Given point P(9,-11), what are the coordinates of P' after a 180⁰ rotation?
(9,11)
(-9,11)
(-11,-9)
(11,9)

Answers

Answer:

-9,11

Step-by-step explanation:

The negative signs get flipped so if the number was positive it would become negative and vice versa.

Answer:

(-9,11)

Step-by-step explanation:

180 Degree Rotation

When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y). So all we do is make both x and y negative.

1)Solve the system of equations using substitution or elimination. Your
12x - y = 24
-3x + 2y = -6

Answers

I think it’s (15/8, -3/2) (point form), equation form is x=15/8 y=-3/2

True or False: A prime number has exactly 2 factors
O True
O False

Answers

Answer:

I’d say false

Step-by-step explanation:

least common multiple of 12 and 3

Answers

Answer:

Answer is 12

12x1=12

3x4=12

Step-by-step explanation:

Its the least number.

Answer:

It is exactly 12

Step-by-step explanation:

I hope this helped you

Can i get branliest and heart please

Thanks!

There are 8 triangles and 6 circles. What is the simplest ratio of circles to total shapes?

Answers

Answer:

4:3

4 being triangles and 3 being circle.

Essentially, for every 4 triangles there are 3 circles.

Let me know if you need more help, :)

The ratio of number of circles to the total number of shapes is 3 : 7

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

Given data ,

Let the total number of triangles be = A

Now , the value of A is 8

Let the total number of circles be = B

Now , the value of B is 6

So , the equation will be

The total number of shapes = total number of triangles + total number of circles

The total number of shapes = 8 + 6

The total number of shapes = 14 shapes

Now , the ratio of total number of circles to total number of shapes is =

total number of circles : total number of shapes

Ratio of total number of circles to total number of shapes = 6 : 14

On simplifying the ratio , we get

Ratio of total number of circles to total number of shapes = 3 : 7

Hence ,

The ratio of number of circles to the total number of shapes is 3 : 7

To learn more about proportion click :

https://brainly.com/question/7096655

#SPJ2

I need help please will markbrianlyest

Answers

240 people will go to the food pantry
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