y=-2/3x + 7 what is the slope?

Answers

Answer 1

Answer:

Lucky for you i'm good at algebra:)

Step-by-step explanation:

Slope:  -2/3

Y-intercepts: (0,7)

Answer 2

Answer:

 Slope = -1.333/2.000 = -0.667

 x-intercept = 21/2 = 10.50000

 y-intercept = 21/3 = 7

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    y-(-2/3*x+7)=0

Step 1:

Simplify    2/3

Equation at the end of step 1:

y -  ((0 -(2/3• x)) +  7)  = 0

Step 2: Rewriting the whole as an Equivalent Fraction

Rewrite the whole as a fraction using  3  as the denominator :

7 = 7/1  =  7 · 3 /3

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

-2x+7·3/3 = 21-2x/3

Equation at the end of step 2:

y-(21-2x)/3=0

Step 3:

Rewriting the whole as an Equivalent Fraction :

Subtracting a fraction from a whole

Rewrite the whole as a fraction using  3  as the denominator :

y=y/1=y·3/3

Adding fractions that have a common denominator :

 Adding up the two equivalent fractions

y • 3 - ((21-2x))     3y + 2x - 21

—————————————————  =  ————————————

        3                  3      

Equation at the end of step

3

:

 3y + 2x - 21

 ————————————  = 0  

      3      

STEP

4

:

When a fraction equals zero :

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 3y+2x-21

 ———————— • 3 = 0 • 3

    3    

Now, on the left hand side, the  3  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  3y+2x-21  = 0

Equation of a Straight Line

4.2     Solve   3y+2x-21  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  3y+2x-21  = 0 and calculate its properties

Graph of a Straight Line :

 

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 7/1 so this line "cuts" the y axis at y= 7.00000

 y-intercept = 21/3  =  7  

Calculate the X-Intercept :

When y = 0 the value of x is 21/2 Our line therefore "cuts" the x axis at x=10.50000

 x-intercept = 21/2  = 10.50000  

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 7.000 and for x=2.000, the value of y is 5.667. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 5.667 - 7.000 = -1.333 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -1.333/2.000 = -0.667  

Geometric figure: Straight Line

 Slope = -1.333/2.000 = -0.667

 x-intercept = 21/2 = 10.50000

 y-intercept = 21/3 = 7


Related Questions

help me plz
thank u!

Answers

Answer:

x = 41

y = 65

z = 107

Step-by-step explanation:

y and 65 are vertically opposite angles. Vertically opposite angles are equal.

y = 65

74 + y + x = 180

74 + 65 + x = 180

139 + x = 180

x = 180 - 139

x = 41

z is the exterior angle, whereas 66 and x are interior angles in a triangle.

Formula : -

Exterior angle = Sum of two interior angles

z = 66 + x

  = 66 + 41

z = 107

5. I bought a $55 swimsuit, a $15 hat, and a $40 pair of shoes. I used a coupon that gave me 40% off my total bill. How much did | spend?

quickk pls​

Answers

Answer:66  dollars

Step-by-step explanation:110 - 44 = 66

Scott has 18 3/4 gallons of gas in his tank. If he uses 3/50 gallons of gas per mile he drives how many miles can he drive before his tank is empty.? Pls help!

Answers

Answer:

Step-by-step explanation:

I’m sorry that i can’t fully help and that i answered it wrong twice i also got stuck. I hope someone else helps you and that you get an a

18 3/4 as an improper fraction is 75/4.

75/4 can be re-written as 1875/100 (multiply both sides by 25)

3/50 can be re-written as 6/100 (multiply both sides by 2)

PLEASE HELP FAST!!!

Answers

y=-2x+[-1]

Hope it is correct

PLEASE HELP ANSWER THIS QUESTION
(ILL GIVE BRAINLIEST TO THE BEST ANSWER TOO)
In Earth's southern hemisphere, the summer season is from December to March and winter is from June to September. The table shows the highest temperatures recorded at the South Pole for three different months.

Graph model:
South Pole Temperatures
Month Highest temperature (°F)
January 6
June –24
November –2

Each month's highest recorded temperature is plotted on the number line.

4. Which month had the coldest of the three temperatures? Explain.

Answers

#4

June is the most coldest.

How?

Mention the temperatures

January=+6°CJune=-24°CNovember=-2°C

Lowest is the coldest .(June is the coldest month)

Answer:

January = 6°F

June = -24°F

November = -2°F

By the above given observation we can say that June is the coldest as it has the lowest temperature in all.

5(6+9) what is the sum of 30 and another whole number

Answers

Answer:

75

Step-by-step explanation:

5(6+9)

Times the five by the numbers in the bracket

30 + 45

= 75

Answer:

75

Step-by-step explanation:

5 x 6 = 30

5 x 9 = 45

30 + 45 = 75

What are the correct answers to this geometry problem?

Answers

Answer:

3. HI

4. GI  JH  JG

-If you thought that I was helpful, go ahead and give me the brainliest answer!

HELP, please I'm stuck

Answers

Answer is b have a nice day

If 1/3 is equivalent to 33 1/3%, what percent is equivalent to 2/3?

A: 33 2/3%
B: 150%
C: 66 2/3%
D: 65%

Answers

Answer:

   C    66 2/3%

Step-by-step explanation:

1/3 =  33 1/3%  

1/3 = 33 1/3 ∙ 1/100             % means 1/100

1/3 = 100/3 ∙ 1/100                33 1/3=    (33∙3+1)/3=100/3

1/3 = 100/300                         Reduce

1/3 = 1/3   Check    so  

1/3 = 33 1/3%

Now     2/3=?%

We know that     2/( 3) =  N ∙ 1/100      meaning of percent (%)

                            2/3 = N/100              

                          200 = 3N

                           200/3 = N

                            66.66 =N      

 Therefore      2/3 = 66 2/3  %            

1. One skater paid $108.00 for
36 fancy jewels to sew on her
costume. What did each
jewel cost?

Answers

Answer:

each jewel was 3 $

Step-by-step explanation:

divide 108.00/36= 3

Step-by-step explanation:

$3 for each jewel.

If you scale up the ratio on the left, what will you get for the unknown quantity on the right? $155 $465

-------- = --------------

20 hours ?


A. 10 HOURS

B. 40 HOURS

C. 60 HOURS

D. 100 HOURS

Answers

Answer:

60 minute equals to 1 hour

Which choice is equivalent to the expression shown below?
-3(3y-2x) + 2(5x-4y)

Answers

Answer:

[tex] - 3(3y - 2x) + 2(5x - 4y) \\ - 9y + 6x + 10x - 8y \\ 16x - 17y[/tex]

I hope I helped you^_^

Cómo se resuelve esto?


(2-x)²=36

Answers

Aquí esta la respuesta

Answer:

Step-by-step explanation:

You have to factor but we start by simplifying both sides which will be x^2-4x+4=36. Then you subtract 36 from both sides

x^2-4x+4-36=36-36

x2-4x-32

Now that the equation is set up, you can factor

(x+4)(x-8)Set the factors equal to 0

x=-4 or

x=8

What is the denominator of 24⁄32? *

a. 6⁄8

b. 8

c. 24

d. 32

Answers

the correct answer is b

On the last algebra test M students scored x on the test and N students
scored y. What does the following expression represent?
Mc+Ny
M+N

Answers

Answer: Y=35x

Step-by-step explanation:

Answer:

Step-by-step explanation:

Mx + Ny represents the total score of M + N students.

decrease 475.29 by 2.1%

Answers

The answer is 465.30891

AHHHH SWEAR THIS IS THE LASt ONEEEEE

Answers

Answer:

the answer is 145°

Step-by-step explanation:

seeing as the two largest angles are 50° and 95° we add them and the answer is 145°

that's what I think :)

The answer is 7200 minutes

Answer the question and explain how you got what you got please

Answers

Answer:

[tex]\frac{3}{2}[/tex]

Step-by-step explanation:

The simple formula for slope is: [tex]\frac{rise}{run}[/tex] or "rise over run".

The rise is 3 and run is 2.

Hope it helped :)

12y x 7.5 So what do you think the answer is?

Answers

Answer:

I believe it's 90y

Step-by-step explanation:

12 × 7 = 84, then you add 6, which is half of 12, to get 90.

Please let me know if I'm wrong.

6. Vocabulary Tell whether each equation is in
slope-intercept, point-slope, or standard form.
a. y + 2 = -2(x - 1)
C. -x - 2y = 1
b. y = ** +9
d. y - 3 = 4x

Answers

Answer:

They are all in standard form

Step-by-step explanation:

X = ?

Can someone tell me
The answer to this question

Answers

Answer:

113=x

Step-by-step explanation:

seeing as how the sum of all angles in a triangle is 180 degrees, we can get an equation:

28+39+x=180

simplify to get:

67+x=180

subtract 67 from both sides to get your answer:

113=x

Answer:

[tex]x=113[/tex]

[tex]y=67[/tex]

[tex]z=49[/tex]

Step-by-step explanation:

To find x:

We can use the angle sum property of a triangle which states that, The sum of all internal angles of a triangle is always equal to 180°.

Therefore, [tex]28+39+x=180[/tex]

[tex]67+x=180[/tex]

[tex]x=180-67[/tex]

[tex]x=113[/tex]

Now that we know the value of [tex]x[/tex] we can use it to find the value of [tex]y[/tex].

We can see that angle [tex]x[/tex] and [tex]y[/tex] are supplementary which means:

[tex]x+y=180[/tex]

[tex]113+y=180[/tex]

[tex]y=180-113[/tex]

[tex]y=67[/tex]

Now that we know the value of [tex]y[/tex] we can use the angle sum property of a triangle again:

[tex]64+y+z=180[/tex]

[tex]64+67+z=180[/tex]

[tex]131+z=180[/tex]

[tex]z=180-131[/tex]

[tex]z=49[/tex]

under which circumstances will a right angle triangle have a line of symmetry give reasons​

Answers

Answer:

x txrxrserfunvek ke r CPP

convert 32.6 mph into cm per seconds

Answers

Answer:

1457.35

Step-by-step explanation:

(7x10^10)x(3x10^2) in standard form

Answers

Answer:

70 x 15 = 1050

Step-by-step explanation:

do your work lol

(7×10¹⁰) × (3×10²)

(7×3) × (10¹⁰×10²)

21 ×10¹²

W standard form can only be between 1 and 10, so in standard form,

21÷10=2.1

10¹²+¹

10¹³

2.1×10¹³

Please mark BRAINLIEST!

60 students at campbell middle school were surveyed on their favorite sports. 1/4 of them choose basketball. 3/10 of them choose hockey the remaining students chose soccer. How. many students choose soccer as their favorite sport

Answers

Answer:

27 students

Step-by-step explanation:

b/c 1/4×60=15 students

3/10×60=18

18+15=33

60-33=27

brainlist please

Could anyone check me on this? Please correct me if I’m wrong,thank u :D

Answers

You are right the answer is A

A model of a building is 18 inches tall. If the building is really 678 feet tall, how tall is a window that is 1/9 in on the model? Round to the nearest tenth if needed.

Answers

Answer:

50.2in or 4.2ft

Step-by-step explanation:

This is a problem about proportions so I generally set up my problems like below. I just set some variable here to make it easier to refer back to the measurements for each. You don't have to do this, I am just showing it for clarity. I will convert everything to inches too. We need to find the real window height.

Mb = model building = 18in

Mw= model window = [tex]\frac{1}{9}[/tex]in

Rb = real building = 678ft = 8136in

Rw = real window = ?

[tex]\frac{Mw}{Mb}[/tex] = [tex]\frac{Rw}{Rb}[/tex]

[tex]\frac{1/9}{18}[/tex] = [tex]\frac{Rw}{8136}[/tex]

[tex]\frac{1}{9*18}[/tex] = [tex]\frac{Rw}{8136}[/tex]  

[tex]\frac{1}{162}[/tex] = [tex]\frac{Rw}{8136}[/tex]

[tex]\frac{1*8136}{162}[/tex]= [tex]\frac{8136*Rw}{8136}[/tex]

[tex]\frac{8136}{162}[/tex] = Rw

[tex]\frac{452}{9}[/tex] = Rw

Rw ≈ 50.2in ≈ 4.2ft

Mr.and Mrs. Hawkins have a budgeted $500 from Marion's graduation. the rent is $150.how much can they spend per person on food if each of the 30 guest gets $2.50 group photos.

Answers

Answer:

45

Step-by-step explanation:

45! £€#^_#÷5€£¥¥*^

use the distibutive property to find the product
1/5 x 5 10/11​

Answers

Answer:

1/2/11

Step-by-step explanation:

1/5×5/10/11=1/5×65/11

=13/11

=1/2/11

Create an equation that meets the following criteria:

•Contains the variable x on both side of the equation
•Uses at least 2 inverse operations to solve
To receive full points, you must write out your equation and show ALL the steps to solving it to get the correct solution
I’ll give brainlist to the person who follows the instructions to the T

Answers

Answer:

4x+9=x+15

x = 2

Step-by-step explanation:

Let's solve this equation I just made:

4x + 9 = x + 15

Subtract 9 from each side:

4x = x + 6

Subtract x from each side:

3x = 6

Divide each side by 3:

x = 2

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