in each linear equation, identify the slope (m) and the y-intercept (b)

In Each Linear Equation, Identify The Slope (m) And The Y-intercept (b)

Answers

Answer 1

Hey there!

Let's find the slope & y-intercept of each equation.

The first one is y=4x-5.

Please remember that

In slope-intercept equations. the slope is the coefficient of x (the number before x)Also, the y-intercept is the number/variable that's added/subtracted to/from the slope.

In other words, in slope-intercept form (y=mx+b), m is always the slope and b is the y-intercept.

Therefore,  the slope of the first linear equation is 4, and the y-intercept is -5.

or

m=4, b=-5 (option A)

Same with the other equation:

m=-1, b=2/3 (option C is the right option)

Hope everything is clear.

Let me know if you have any questions!

#LearningDoesn'tEnd

:-)


Related Questions

Patty walked 2/5 of a mile in 5 1/2 minutes. At this rate, how long will it take Patty to walk 3 miles?

Answers

Answer:

41.25 minutes i think sorry if its wrong

Convert the following: 20 meters/30 Seconds to miles per hour

Answers

1.49129 MPH
you can find this by searching on google

Ngo has a collection of dimes and quarters with a total value of $5.20. The number of dimes is 4 less than the number of quarters. How many of each coin does he have?​

Answers

9514 1404 393

Answer:

16 quarters12 dimes

Step-by-step explanation:

Let Q represent the number of quarters. Then (Q-4) is the number of dimes, and the total amount of money is ...

  25Q +10(Q -4) = 520

  35Q = 560 . . . . . add 40

  Q = 560/35 = 16

Ngo has 16 quarters and 12 dimes.

i need help in geometry :(

Answers

9514 1404 393

Answer:

  82 ft

Step-by-step explanation:

We can find the value of x by making use of the fact that corresponding angles have equal measures.

  ∠K = ∠N

  20x -10 = 15x +15

  5x = 25 . . . . . . . . . . add 10-15x

  x = 5 . . . . . . . . . . . .  divide by 5

Then the side lengths are ...

  JK = (4x -4) ft = (4·5 -4) ft = 16 ft

  KL = (5x +1) ft = (5·5 +1) ft = 26 ft

And the perimeter is the sum of side lengths:

  16 ft + 26 ft + 40 ft = 82 ft

The perimeter of each pool is 82 feet.

(1-cos^2 60°)+(1-sin^2 60°)=tan^2 60°​

Answers

(1-cos^2 60°)= sin^2 60°
(1-sin^2 60°) = cos^2 60°
Sin^2 60° + cos^2 60°= tan^2 60°

passes through (0, 1) and (2, 5)

Answers

Answer:

y = 2x + 1

Step-by-step explanation:

1. Find the slope: change in y/change in x

[tex]\frac{5-1}{2-0}[/tex] = 2

Slope: 2

2. Find y-intercept by substituting in a point (0, 1)

y = 2x + b

1 = b

3. Put the equation together

y = 2x + 1

The equation of the line passing through the points (0, 1) and (2, 5) is y = 2x + 1.

What is y intercept?

y intercept is the y coordinate of the point on the line where it touches the Y axis. The x coordinate will be 0 there.

The equation of a line in slope intercept form is,

y = mx + c

Here m is the value of the slope and c is y intercept.

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

Given two points (0, 1) and (2, 5).

Slope, m = (5 - 1) / (2 - 0)

               = 4 / 2

               = 2

c is the y coordinate when x = 0.

We have that point given (0, 1).

So c = 1

Substituting m = 2 and c = 1 in the general form, we get,

y = 2x + 1

Hence the equation of the line is y = 2x + 1.

To learn more about y intercepts, click on the link :

https://brainly.com/question/14180189

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Find each key feature of the function shown in the graph. Enter all intervals using interval notation. Enter the x-intercepts as values of x only.

range=
domain=
x-intercepts=
average rate of change over the interval [0,2]=
the right-most interval where the graph is positive=

Answers

Answer:

Step-by-step explanation:

Range of the function is the set of y-values (output values) of the function on the graph.

Domain of the function is the set of x-values (input values) of the function.

Domain of the function : [-5, 4)

(including x = -5 and excluding x = 4)

Range : [-4, 2)

(Including y = -4 and excluding y = 2)

x - intercepts : x = -5, -2, 2

Average rate of change over the interval [0, 2]

= [tex]\frac{f(2)-f(0)}{2-0}[/tex]

= [tex]\frac{0-(-4)}{2-0}[/tex] [Since, f(2) = 0, f(0) = -4]

= 2

Right most interval where the graph is positive → [2, 4]

The key feature of a function include the intercepts and intervals of the function

The range is [-4,2)The domain is [-5,4)The x-intercepts are -2 and 2The average rate of change over the interval [0,2] is 2The right-most interval where the graph is positive is [2,4]

(a) The range

The least y value on the graph is at y = -4, and the maximum is at y = 2, with an open circle.

So, the range is:

[tex]\mathbf{Range = [-4,2)}[/tex]

(b) The domain

The least x value on the graph is at x = -5, and the maximum is at x = 4, with an open circle.

So, the domain is:

[tex]\mathbf{Domain = [-5,4)}[/tex]

(c) The x-intercepts

This is the point where the graph crosses the x-axis.

So, we have:

[tex]\mathbf{x-intercept =-2 \ and\ 2}[/tex]

(d) Average rate of change over [0,2]

From the graph, we have:

f(0) = -4

f(2) = 0

So, the average rate of change (m) is:

[tex]\mathbf{m = \frac{f(2) - f(0)}{2 - 0}}[/tex]

[tex]\mathbf{m = \frac{0 - -4}{2 - 0}}[/tex]

[tex]\mathbf{m = \frac{4}{2}}[/tex]

[tex]\mathbf{m =2}[/tex]

(d) The right-most interval where the graph is positive

The graph is positive from x = 2 to x = 4.

Hence, the right-most interval where the graph is positive is [2,4]

Read more about features of a function at:

https://brainly.com/question/17343786

What is the least common multiple of 9, 17, and 51? A. 51 B. 102 C. 153 D. 867

Answers

Answer:

C. 153

Hope this helps

shshsgshsh

Answer:

C. 153

Step-by-step explanation:

I just did this quiz and got it right!! Hope this helps! :D

A cyclist travels 10 km from home to the park.
She leaves home at 12:20 and arrives at the park at 12:50.
What is her average speed in km/h?

Answers

Answer:

20 km/hr

Step-by-step explanation:

The total time she takes to travel 10 km is 30 minutes of 0.5 hours.

To calculate speed, we can divide the distance traveled by the time it takes.

[tex]s = \frac{10}{0.5} = 20[/tex] km/hr


i’ll mark brainlest to whoever answers this question first! :)

Answers

Answer:

me

Step-by-step explanation:

According to the Vivino website, the mean price for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is $32.48. A New Englandâbased lifestyle magazine wants to determine if red wines of the same quality are less expensive in Providence, and it has collected prices for 56 randomly selected red wines of similar quality from wine stores throughout Providence. The mean and standard deviation for this sample are $30.15 and $12, respectively.

Required:
a. Develop appropriate hypotheses for a test to determine whether the sample data support the conclusion that the mean price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48.
b. Using the sample from the 60 bottles, what is the test statistic?
c. At α = 0.05, what is your conclusion?

Answers

Answer:

a

The  null hypothesis is   [tex]H_o  :  \mu =  32.48[/tex]          

The alternative  hypothesis is   [tex]H_a  :  \mu  <  32.48[/tex]

b

  [tex]t  =  -1.504[/tex]

c

There is no sufficient evidence to conclude that the mean price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48

Step-by-step explanation:

From the question we are told that

   The mean price of   is  [tex]\mu = \$ 32.48[/tex]

   The  sample size is n  =  56  

    The sample mean is  [tex]\=  x  =  \$30.15[/tex]

     The standard deviation is  [tex]\sigma =  \$12[/tex]

The  null hypothesis is   [tex]H_o  :  \mu =  32.48[/tex]          

The alternative  hypothesis is   [tex]H_a  :  \mu  <  32.48[/tex]

Generally the test statistic is mathematically represented as

       [tex]t =  \frac{\= x  - \mu }{\frac{\sigma }{\sqrt{n} } }[/tex]

=>    [tex]t =  \frac{30.15  - 32.48 }{\frac{12 }{\sqrt{60} } }[/tex]

=>    [tex]t  =  -1.504[/tex]

Generally the p-value  is mathematically represented as

      [tex]p-value  =  P (t < -1.504 )[/tex]

From the z-table  

    [tex]P(t <  -1.504) =   0.066291[/tex]

So  

    [tex]p-value  = 0.066291 [/tex]

From the value we obtain we see that  

    [tex]p -value  >  \alpha[/tex]

Then we fail to reject the null hypothesis  

   Hence there is no sufficient evidence to conclude that the mean price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48

13+18 times 3 what does this equal

Answers

93 is the answer hope I helped

Answer:

93

Step-by-step explanation:

13+18 = 31

31x3= 93

i’ve been on this question for 22 minutes please help me

Answers

Answer:

F

Step-by-step explanation:

4 pound tomato cost 14 dollar how much does 1 pound cost

Answers

Answer:$3.50

Step-by-step explanation:

14/4 =3.5. To check answer multiply 3.5 by 4. You get 14

Can someone help me I am confused

Answers

Sameeee... I don’t get that either

The pet store currently has 430 frogs. Last night 114 jumped out and
escaped. What was the inventory before the great frog escape?

Answers

Answer:

544

Step-by-step explanation:

430+114

How do I find x in this equation?

Answers

Answer:

Exact Form:

x

=29/20

Decimal Form:

x=1.45

Mixed Number Form:

x=1 9/20

Step-by-step explanation:

I did that before trust me I know

Given:
A= The square root of 3
B= 2 times the square root of 3
C= The square root of 25
D= The square root of 16
Which expressions result in a rational number? Select all that apply.

a. a+b
b. c+d
c. a+d
d. a*b
e. b*d
f. c*d
g. a*a

Answers

Answer:

b, d, f, g

Step-by-step explanation:

Given:

A= √3 B= 2 √3 C= √25  = 5D= √16 = 4

Possible expressions resulting in a rational number are the product of A and B and any combination of C and D as they are rational

Correct choices

b. c+d  = 5+4 = 9d. a*b  = √3×2√3 = 2×3 = 6f. c*d  = 5×4 = 20g. a*a = √3×√3 = 3

In ΔUVW, u = 8 inches, v = 2.7 inches and w=5.9 inches. Find the measure of ∠W to the nearest 10th of a degree.

Answers

Answer:32.4

Step-by-step explanation:

The measure of ∠W to the nearest 10th of a degree is, 32.9°.

What is a triangle?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know, The cosine rule of triangles, In a triangle, ABC with sides opposite to A is a and similar for b and c.

We have. cosA = (b² + c² - a²)/2bc.

Therefore, m∠W = (u² + v² - w²)/2uv.

m∠W = 0.84.

So, cosФ = 0.84.

Ф = cos⁻¹(0.84).

Ф = 32.9°.

learn more about the cosine rule of triangles here :

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Given the functions:
f(x) = x2 – 9, and g(x) = x3 + 4x² + 8x - 7, find h(x) = f(x) + g(2).
h(x) =
x3 + 5x2 + 80 -16
h(x) = x3 + 3x² + 80 + 2
h(x) = x3 + 5x2 + 8x - 16
h(x)
- 23 - 3x? 8.2 - 2
h(x)
x3 + 3x2 + 8x + 2

Answers

Answer:

h(x) = x² + 24

Step-by-step explanation:

First solve for g(2) in g(x) = x³ + 4x² + 8x - 7 by simply substituting 2 in x variable. The result is 33.

Then get the sum of f(x) and 33 to find h(x).

P= 2/ + 2w Find The Width

Answers

9514 1404 393

Answer:

  W = P/2 -L

Step-by-step explanation:

Divide by 2 and subtract L.

  P = 2L +2W

  P/2 = L +W

  P/2 -L = W

The width is ...

  W = P/2 -L

3^-3 find the value of power

Answers

Answer:

0.037

hope thats the answer

Answer:

Answer= 0.037

Step-by-step explanation:

([tex]3^{-3}[/tex]) is the same as [tex]\frac{1}{3^{3} }[/tex]

(the negative power rule states that [tex]x^{-y}[/tex] is the same as [tex]\frac{1}{x^{y} }[/tex])

which is equal to [tex]\frac{1}{27}[/tex]

or converted to decimals it will be equal to 0.037

what is l4x-4l+10=3x

Answers

Answer:

x=−6

Step-by-step explanation:

4x−4+10=3x

Step 1: Simplify both sides of the equation.

4x−4+10=3x

4x+−4+10=3x

(4x)+(−4+10)=3x(Combine Like Terms)

4x+6=3x

4x+6=3x

Step 2: Subtract 3x from both sides.

4x+6−3x=3x−3x

x+6=0

Step 3: Subtract 6 from both sides.

x+6−6=0−6

Answer:

l4x-

Step-by-step explanation:

Sorry I hope this is it I hoped it help sorry.

please leave a thanks.

(9x-2y)/xy when x-4 and y=-2​

Answers

Answer:

-5

Step-by-step explanation:

Answer:

GIVEN x=4 and y=-2

So, in (9x-2y)/xy when we apply x=4 and y=-2​

{9(4)-2(-2)}/(4)(-2)

36+4/-8

40/-8

-5/1

=-5

A local park is in the shape of a square. A map of the local park is made with the scale 1 inch to 200 feet.
If each side of the park on the map is 12 inches long, how long is each side of the actual square park?

Answers

1 inch to 100 feet

12 inches = 1200 feet.

Just multiply both sides by 12.

The answer is 1200 feet.

I need help please! 7:44 est need rn

Answers

Answer:

B. [tex]3^{6}[/tex]

Step-by-step explanation:

[tex]3^{8} = 6561[/tex]  [tex]3^{2} = 9[/tex]  6561 ÷ 9 = 729Option B, [tex]3^{6}[/tex], is equal to 729, so that is the right answer.

I hope this helps!

nicholas started a canned food drive at school. the equation representing this is y=235=15, where x is the number of days, and y is the number of cans collected. explain how to determine how many days it would take to collect 2600 cans.

Answers

Answer:

195 cans will be left after 10 days

Sample Answer: I am given a number of cans, which is y, and I need to find the number of days, which is x. To do this, I would substitute 2600 for y, to get 2600 = 235x + 15. Solving for x, I would get x = 11. Thus, it would take 11 days to collect 2600 cans.

Step-by-step explanation:

i did the edge thing

Answer:

I am given a number of cans, which is y, and I need to find the number of days, which is x. To do this, I would substitute 2600 for y, to get 2600 = 235x + 15. Solving for x, I would get x = 11. Thus, it would take 11 days to collect 2600 cans.

Step-by-step explanation:

hope this helps

did it on edge

have a good day

Adam has $450. He spends $210 on food. Later he divides all the money into four equal parts. Then gives three parts to his friends, and he keeps one for himself. Later, he found $50 on the road.

Answers

Answer:

$110

Step-by-step explanation:

450-210= 240÷4= 60 +50=110

If a dose of 100mg is contained in 4cc, how many cubic centimeter are in 40mg?

Answers

the answer to this is 1.6cc

three times a number m

Answers

Answer:

3n

Step-by-step explanation:

3 x n

simplifies to be

3n

hope this helps

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