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

4(6 – x) = 8

Solve for x

Answers

Answer:

4

Step-by-step explanation:

24 - 4x = 8

-4x = 8 - 24

-4x = -16

x = 4

х

13

14

15

16

у

11

6 1-4

What is the slope

Answers

Answer:

6

Step-by-step explanation:

Hope this helps

could someone please help answer this thank you, please no spam, will give brainliest, (homework help)

Answers

Answer:

I think it's:

w>2

sorry if I'm wrong

+5 when
2. What is the value of f(x)=2x +
X=4?
A А.
2
el ind
B 7
C 9
D 13

Answers

Answer:

B. 7

Step-by-step explanation:

[tex] \frac{1}{2} \times 4 + 5 = 7 \\ sub \: in \: 4 \: into \: the \: equation[/tex]

Please help me fast I need to finish!!!!!!

Answers

Answer:

ans: The line passes through the point (0,13)

Step-by-step explanation:

(0,13) is Y-intercept

Answer:

The answer is C the line passes through (0,13)

Step-by-step explanation:

Lexi2984 can u help me with this question

Answers

9514 1404 393

Answer:

  see the attachment

Step-by-step explanation:

The x- and y-intercepts are easily found:

X-intercept

Set y = 0 and divide by the coefficient of x.

  -x +0 = 8

  x = -8

__

Y-intercept

Set x = 0 and divide by the coefficient of y.

  0 -2y = 8

  y = -4

__

Now, we have two points on the graph: (-8, 0) and (0, -4). A third point can be one that is halfway between these: (-4, -2). The graph is attached.

Calculate 36%of $4500

Answers

Answer:

1620

Step-by-step explanation:

0.36*4500=1620

Write the fractions in order from least to greatest. A) -3 3/ 4 , -3 3/ 5 , -3 13 /20 , -3 17 /25 B) -3 3 /5 , -3 17 /25 , -3 13 /20 , -3 3 /4 C) -3 3 /5 , -3 13 /20 , -3 17 /25 , -3 3/ 4 D) -3 3 /4 , -3 17 /25 , -3 13 /20 , -3 3/ 5

Answers

Answer:

A, C, D, B

Step-by-step explanation:

Consider the system of equations.


x+2y=1

−3x−2y=5


How do you solve the system of equations with Cramer's rule?


Drag a value or determinant expression into each box to correctly solve the system using Cramer's rule.

Answers

The solution to the system of equations x + 2y = 1  and -3x-2y = 5 is:

x  = -3,  y = 2

The given system of equations:

x  +  2y  =  1............(1)

-3x - 2y  =  5..........(2)

This can be written in matrix form as shown:

[tex]\left[\begin{array}{ccc}1&2\\-3&-2\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}1\\5\end{array}\right][/tex]

Find the determinant of [tex]\left[\begin{array}{ccc}1&2\\-3&-2\end{array}\right][/tex]

[tex]\triangle = 1(-2) - 2(-3)\\\triangle = -2+6\\\triangle = 4[/tex]

[tex]\triangle_x = \left[\begin{array}{ccc}1&2\\5&-2\end{array}\right]\\\triangle_x = 1(-2)-2(5)\\\triangle_x = -2-10\\\triangle_x =-12[/tex]

[tex]\triangle_y = \left[\begin{array}{ccc}1&1\\-3&5\end{array}\right]\\\triangle_y = 1(5)-1(-3)\\\triangle_y = 5 + 3\\\triangle_y =8[/tex]

[tex]x = \frac{\triangle_x}{\triangle} \\x = \frac{-12}{4} \\x = -3[/tex]

[tex]y = \frac{\triangle_y}{\triangle} \\y = \frac{8}{4} \\y = 2[/tex]

The solution to the system of equations x + 2y = 1  and -3x-2y = 5 is:

x  = -3,  y = 2

Learn more here: https://brainly.com/question/4428059

y = x - 5 and y = -x + 3

Answers

Answer:

Point form:

(4,-1)

x=4,y=-1

Step-by-step explanation:

Graph:

Answer:

x = 4 , y = -1

Step-by-step explanation:

Note that both equations equal y. Set the two equations equal to each other.

x - 5 = y = -x + 3

x - 5 = -x + 3

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other.

First, add x and 5 to both sides of the equations:

x (+x) - 5 (+5) = -x (+x) + 3 (+5)

x + x = 3 + 5

2x = 8

Next, divide 2 from both sides of the equation:

(2x)/2 = (8)/2

x = 8/2

x = 4

Plug in 4 for x in the given equations and solve:

y = x - 5

y = (4) - 5

y = -1

y = -x + 3

y = -(4) + 3

y = -1

x = 4 , y = -1 are your answers.

~

~

a bread slicer runs 29 hrs per day for 30 days and slices 144,000 loaves of bread. how many loaves per hr are sliced?

conversions

Answers

Is it 4965 sph (slices per hour)

PLEASE I NEED HELP ON THESE 3 QUESTIONS
(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.

Which of these months had the lowest high temperature? (ignore this)

1. Write the three temperatures in order from least to greatest. Explain how you put the numbers in order.

2. Which month had the lowest high temperature?

3. Which month had the highest temperature?

Answers

Answer:

1: (-24, -2, 6) 2: June 3:January

Step-by-step explanation:

1: the closer the negatives get to 0 backwards, the higher the temperature is, and after 0 would be even higher.

2: -24 is the most far back from the other two

3: 2 of them are negatives and the other is positive so the positive number would be the highest temp

Answer:

1. -24,-2,6

We order this way as the value of an integer decreases when we go lower below 0

2. The lowest High temperature is in June when the temperature is -24

3. January has the highest temperature because the highest temperature was above 0 which was 6

Hope this helps!

£800 to the ratio of 9.13.18

Answers

Your answer is 180,260,360

#10 Compare the
numbers below using <, >
or =
-67 _-62

Answers

Answer: the answer is -67<-62

Step-by-step explanation:

Answer:

-67<-62

Step-by-step explanation:

this is the last qestion help plz

Answers

Answer:

$513.75

Step-by-step explanation:

Let h represent the number of hours he worked in a week

An auto mechanic earns $498.75 in 35 hours during the week. His pay is $2.50 more per hour on weekends.

Hence, his pay Is represented by equation:

$498.75 + $2.50 × x

If he works 6 hours on the weekend in addition to the 35 hours during the week

$498.75 + $2.50 × 6

= $498.75 + $15

= $513.75

Therefore, he earns $513.75

Decimal form of...
1.6/8
2.23/46
3.2/5
4.1/3
5.23/99

(pls understand the question)
( ̄▽ ̄*)ゞ ​

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Solution ~

Question : 1

[tex] \dfrac{6}{8} [/tex]

[tex] \dfrac{3}{4} [/tex]

[tex]0.75[/tex]

Question : 2

[tex] \dfrac{23}{46} [/tex]

[tex] \dfrac{1}{2} [/tex]

[tex]0.5[/tex]

Question : 3

[tex] \dfrac{2}{5} [/tex]

[tex]0.4[/tex]

Question : 4

[tex] \dfrac{1}{3} [/tex]

[tex] 0. \bar3[/tex]

3 is repeating after decimal.

Question 5 :

[tex] \dfrac{23}{99} [/tex]

[tex]0. \bar2 \bar3[/tex]

23 is repeating after decimal.

How many 1-foot-square border tiles do you need to surround a pool that is 10 feet long and 5 feet wide

Answers

Answer:

Bro thats 2

Step-by-step explanation:

because 1. 1+1=2

2. because 2 is just too good

3. theres no three because theres only 2 steps!!!!

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I rlly need it​

Answers

What do you need help on. I may be able to help

The blue figure is a translation image of the black figure. Write a rule to describe the translation.

Answers

Rule is 7 can only be divisible by 1 and no other number

what was the average wait time in a drive-thru in 2013?

Answers

Answer:

In 2003 there was only a short waiting time of 116 seconds!

That's less than TWO minutes.

However, over the years, the drive-thru wait time has gone up 20%

In 2021, due to a study/survey, the drive-thru wait time has been 3+ minutes on average.

Answer:

in 2013 the average time was 180.83

Step-by-step explanation:

p(-2)=-3+4x please help​

Answers

Answer:

first off, this may be completely wrong, but I did try my best. You need to clarify what this is for so I went with the easiest route, solving for variables.

P=0

X= - 3/4

Step-by-step explanation:

P(-2)=-3+4x

Solving for X

-2P=-3+4x

-2(0)=-3+4x

-3=4x

- 3/4=X

Solving For P

P(-2)=3+4(- 3/4)

P(-2)3-3

P=0

Jared baked 20 cookies if 1/5 cookies were burned how many cookies burned simplify your answer

Answers

Answer: 4

Amount Total: 20

amount  burned: 1/5

say 4x5=20

1/5 of 20 is 4

solve 4 with exponent -4 without the exponent in other words

4 exponent -4 without exponent

Answers

Answer:

[tex] \frac{4}{1} \times \frac{4}{1} \times \frac{4}{1} \times \frac{4}{1} = \frac{256}{1} = - 256[/tex]

Step-by-step explanation:

I dont know if I'm right or not

but this is how I learned it

what is the answer to 95x-45+-8x[67=

Answers

Answer:

Combine Like Terms:

=95x+−45+−536x

=(95x+−536x)+(−45)

=−441x+−45

Step-by-step explanation:

Please I need an explanation and steps as soon as possible

Answers

Answer:

(I've never done this before and I highly doubt I'm doing this right so forgive me for any wrong answer which might as well be all of them)

1. 5

2. 3

3. 2

4. 9

5. 4

6. 2

7. 8

8. 2

9. 11

What is an equation of the line that passes through th (3,-1) and has a slope of 2?​

Answers

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[tex]\sf\longrightarrow m ( x - x_1) = y - y_1[/tex]

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[tex]\sf\longrightarrow 2( x - 3 ) = y - (-1) [/tex]

Simplify LHS and RHS ,

[tex]\sf\longrightarrow 2x - 6 = y +1 [/tex]

Put all terms on one side ,

[tex]\sf\longrightarrow \boxed{\bf 2x - y -7=0} [/tex]

What is the cosine ratio of

Answers

Answer:

Therefore, the exact value of cos 30 degrees is written as 0.8660 approx. √3/2 is the value of Cos 30° which is a trigonometric ratio or trigonometric function of a particular angle


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Answers

try putting 1,7 as ur answer

Need help ASAP! Directions in picture;)

Answers

Answer:

it is 8

Step-by-step explanation:

jack want to buy a coat that cost 74.95 the sales tax rate in his city 61/2% what is the total costfor the coat

Answers

Answer:

$79.7468

Step-by-step explanation: