A line passes through the points (0,5) and (3,6). What is its equation in slope-intercept
form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer 1

Answer:

y = 1/3x + 5

Step-by-step explanation:

Slope = (change in y)(change in x)

Slope = (6 - 5)/(3 - 0)

Slope =  1/3

Substitute m = 1/3 and one given ordered pair  into y = mx + b. using (3, 6)

y = mx+ b

6 = 1/3(3) + b

6 = 1 + b

5 = b

the equation is y = 1/3x + 5


Related Questions

Identify the independent and dependent variables in the following situation: Julie notices that her plant grows one inch for every liter of water that it receives. Question 17 options: The independent variable is the type of tap water used, and the dependent variable is the amount of water the plant receives. The independent variable is the amount of water the plant receives, and the dependent variable is the height of the plant. The independent variable is the height of the plant, and the dependent variable is the number of pieces of fruit the plant produces. The independent variable is the height of the plant, and the dependent variable is the amount of water the plant receives.

Answers

Determine the independent variable and dependent variable in the situation

The independent variable is the "amount of water the plant receives", and the dependent variable is the "height of the plant".

An independent variable is a the variable which causes a change.

A dependent variable is the result or effect of a change.

Therefore, the independent variable from the phenomena is "amount of water" and the dependent variable is the "height of the plant".

Read more:

https://brainly.com/question/23700645

BAKERY Rolls are being prepared to go to grocery stores, Divide 72 rolls
into 2 groups so the ratio is 3 to 5,

Answers

Answer:

27:45

Step-by-step explanation:

The ratio is 3:5, so the total is 8. 72/8 is 9. 9*3 is 27, and 9*5 is 45, so the two groups consist of 27 and 45 BAKERY Rolls.

Need help pleaseee …

Answers

Answer:

2.5

Step-by-step explanation:

By Pythagoras theorem,

Hypotenuse = √( 4^2 + 3^2 )

                     = √( 16 + 9 )

                     = √25

Hypotenuse = 5

4 / 2 = 5 / x

2 = 5 / x

x = 5 / 2

x = 2.5

Find an equation for the line below

Answers

Answer:

4+2=6-3

Step-by-step explanation:

Answer:

y=-0.5x+3.5

Step-by-step explanation:

help with#14 please!!!

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]Question : 14

let's solve for f :

[tex] \dfrac{1}{f} = \dfrac{1}{a} + \dfrac{1}{b} [/tex]

[tex] \dfrac{1}{f} = \dfrac{b + a}{ab} [/tex]

Taking reciprocal of both sides :

[tex]f = \dfrac{ab}{a + b} [/tex]

what is the answer for this equation 3x-2=2x+9

Answers

Answer:

x = 11

Step-by-step explanation:

3x-2x=9+2 1st and 2nd principle

X=11

wii mark brainlest answer with explanation

Answers

A? It makes the most sense i gues... So sorry if wrong!

Assume that a simple random sample has been selected from a normally distributed population. Find the test statistic t.

Test the claim that the mean lifetime of a particular car engine is greater than 220,000 miles. Sample data are summarized as n = 23, x-bar = 226,450 and s=11,500. Use a significance level of 5%. Determine the p-value.


0.993


0.007


0.05


0.018


0.004

Answers

Using the t-distribution, it is found that the p-value of the test is 0.007.

At the null hypothesis, it is tested if the mean lifetime is not greater than 220,000 miles, that is:

[tex]H_0: \mu \leq 220000[/tex]

At the alternative hypothesis, it is tested if the mean lifetime is greater than 220,000 miles, that is:

[tex]H_1: \mu > 220000[/tex].

We have the standard deviation for the sample, thus, the t-distribution is used. The test statistic is given by:

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

The parameters are:

[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. s is the standard deviation of the sample. n is the sample size.

For this problem:

[tex]\overline{x} = 226450, \mu = 220000, s = 11500, n = 23[/tex]

Then, the value of the test statistic is:

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

[tex]t = \frac{226450 - 220000}{\frac{11500}{\sqrt{23}}}[/tex]

[tex]t = 2.69[/tex]

We have a right-tailed test(test if the mean is greater than a value), with t = 2.69 and 23 - 1 = 22 df.

Using a t-distribution calculator, the p-value of the test is of 0.007.

A similar problem is given at https://brainly.com/question/13873630

Find polynomial function of degree 3. Such that f(2)=24 and x-1, x and x+2 are factors of the polynomial

Answers

Answer:

5

Step-by-step explanation:

how you do the first one

Answers

I HOPE IT WILL HELP YOU.

Thank you.

can anyone heelp me pls pls

Answers

Answer:

3. Lotion

2. Suspension

1. Capsule

No one answered the palm tree question so I will put this question up for 15 points. Please answer now it’s due!

Answers

Answer:

15 feet

Step-by-step explanation:

Answer:

15 feet is the answer ok

There are 120 apples, 1/16 have sprinkles. How many have sprinkles?

Answers

Answer:

7.5

Step-by-step explanation:

because 7.5 x 16 = 120

i asked a question a while ago and nobody has answered it pls help

Answers

Answer:

bet but need barinlyist

Step-by-step explanation:

Help me or the milk gallon in your fridge will grow legs and run away.

Answers

Answer:

-1500

Step-by-step explanation:

If there are 3 people in the company then you can divide 4500 by 3 and you get 1500

Answer: c

Step-by-step explanation: -1,500. - is negative because they suffered a lost.

What is the mean of the frequency distribution?
33
Baseball bat length
f
27
2
28
4
29
3
31
5
16
30.3
30.7
29.4
29.6

Answers

Answer:

33

Step-by-step explanation:

12

give the quadratic sequence 2,3,10,23,........
write down the next term of the sequence.​

Answers

Answer:

The next term of the sequence is 42

solution needed step by step ​

Answers

Answer:

I am doinnnng ok just wait

Answer:

Points again!!!

Step-by-step explanation:

Hey thanks

HELPPPPPPPP!!!! In 1.6, we learned about rational exponents. In a rational exponent, the numerator is the power that the base of the exponent is being raised to and the denominator is the root that is being taken of that base. If the numerator is odd, why is there only one root? ​

Answers

Because it is getting squared only once

Will give brainliest answer

Answers

Answer:

first most option is the answer

Answer:ok A is the correct answer for this test I did this plz trust me give brainpower plz

Step-by-step explanation:

solve the equation 3/4x-5=x
give your answers correct to 2 decimal places

Answers

Answer:

x = - 20

Step-by-step explanation:

[tex]\frac{3}{4}[/tex] x - 5 = x ( multiply through by 4 to clear the fraction )

3x - 20 = 4x ( subtract 3x from both sides )

- 20 = x

What lowest terms fraction is equal to 0.48​

Answers

The lowest terms fraction that is equal to 0.48 is: 12/25

Please help me out. Thanks

Answers

Answer:

y=-2x+5

Step-by-step explanation:

2,1 and 3,-1

gradient

=(3-1)/-1-1

gradient = -2

y=5

y=-2x+5

Nancy sold tickets to a school play. She sold $426 worth of tickets. She sold 8 more adult tickets than children tickets and 3 times as many senior tickets than children tickets. If children tickets are $3, senior tickets are $4 and adult tickets are $6, how many adult tickets did Nancy sell

Answers

Answer:

So number of Adult tickets sold = A = 26.

Step-by-step explanation:

Define A, C, S as

A = number of adult tickets,

C = number of children tickets,

S = number of Senior tickets.

Then, by the statement of the problem, we have that

A = 8 + C,

S = 3C,

3C + 4S + 6A = 426,

so that

3C + 4(3C) + 6(8 + C) = 426

3C + 12C + 48 + 6C = 426

21C + 48 = 426

7C + 16 = 142

7C = 126

C = 126/7 = 18

A = 8 + 18 = 26

S = 3(18) = 54

Let f(t)=4-3t^2. Evaluate f(t+1).

Answers

Answer:

f=4-3t^2/t+1

Step-by-step explanation:

Which best describes how the graph of g(x) = square root of 25/9 x relates to the graph of the parent function, f(x) = square root of x?

The graph of g(x) is shrunk vertically by a factor of 5/3.
The graph of g(x) is stretched vertically by a factor of 5/3.
The graph of g(x) is shrunk vertically by a factor of 25/9.
The graph of g(x) is stretched vertically by a factor of 25/9.

Answers

Answer:

The graph of g(x) is stretched vertically by a factor of 5/3.

Step-by-step explanation:

f(x) = √x

g(x) = √25/9 x = 5/3 √x

5/3 > 1 .. vertical stretch by a factor of 5/3

10
What is the volume of the rectangular prism,
if the length of one cube is 1 cm?

Answers

Answer:

60 cubic centimetres

4.72 × 3.4 equals what? Show work please ro gelp me understand

Answers

The answer is 16.048
The red line is the decimal point

Given the cost function, C(x), and the revenue function, R(x), more than how many units must be produced and sold for the business to make money?
C(x)= 2,000x + 60,000
R(x)= 8,000x

Answers

Answer:

x= 10

Step-by-step explanation:

C(x) = 2,000x + 60,000

R(x) = 8,000x

Set the solution to zero.

R(x) - C(x) = 0

8,000x - (2,000x  + 60,000) = 0

6,000x - 60,000 = 0

x=10

Line k has an equation of y= 10/3x+9. Line l includes the point ( – 3, – 2) and is parallel to line k. What is the equation of line l?

Answers

You can write it in point-slope form like I did at the top, but I simplified it to slope-intercept (the answer with a square around it)

The equation of the parallel line which is passing through the point (–3, –2) will be y = (10/3)x + 8.

What is the equation of a parallel line?

Let the equation of the line be y = mx + c. Then the equation of the parallel line that is parallel to the line y = mx + c is given as,

y = mx + d

Line k has an equation of y= (10/3)x+9. Line l includes the point (–3, –2) and is parallel to line k.

y = (10/3)x + d

The equation of the line is passing through (–3, –2). Then the equation of the parallel line is given as,

–2 = (10/3)(–3) + d

–2 = –10 + d

d = 10 – 2

d = 8

The equation of the parallel line which is passing through the point (–3, –2) will be y = (10/3)x + 8.

More about the equation of a parallel line link is given below.

https://brainly.com/question/402319

#SPJ5

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