What is the equation of the line in slope-intercept form?

What Is The Equation Of The Line In Slope-intercept Form?

Answers

Answer 1

Answer:

The equation of the line in slope-intercept form is:

y = x + 3

Step-by-step explanation:

The slope-intercept form of the line equation

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

where

m is the slopeb is the y-intercept  

Taking two points from the graph

(0, 3)(2, 5)

Determining the slope between (0, 3) and (2, 5)

(x₁, y₁) = (0, 3)

(x₂, y₂) = (2, 5)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [5 - 3] / [2 - 0]

               = 2 / 2  

               = 1

Thus, the slope of the line = m = 1

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = 3

Thus, the y-intercept b = 3

now substituting b = 3 and m = 1 in the slope-intercept form of line equation

y = mx + b

y = 1(x) + 3

y = x + 3

Therefore, the equation of the line in slope-intercept form is:

y = x + 3


Related Questions

f each bowl of ice cream creates a profit of $0.35, what could be the profit made from the 3/4 of a gallon of ice cream?

Answers

Answer:

$4.2

Step-by-step explanation:

Full question is:

At an ice cream social, 3/4 of a gallon of ice cream is split into bowls, each containing 1/16 of a gallon of ice cream. How many bowls of ice cream can be made? If each bowl of ice cream creates a profit of $0.35, what could be the profit made from the 3/4 of a gallon of ice cream?Solution

Number of bowls is:

3/4 ÷ 1/16 = 3/4*16 = 12 bowls

Profit made:

12*$0.35 = $4.2

slove for x 10(x-2)=-20

Answers

Answer:

x=0

Step-by-step explanation:

10(x-2)=-20

10x-20=-20 Distribution

10x=0 add 20 to both sides

x=0 divide by 10 on both sides

Step-by-step explanation:

10(x-2)=-20

10x-20=-20

10x=-20+20

x=0/10=0

Three customers open a bank account that does not earn interest with first bank. The table below displays the amount each customer deposits and the frequency of deposits. at the end of three years, which customer has saved the most money?

Answers

Answer:  kim earns the most

Step-by-step explanation:

Here is a division equation: 4/5 ÷ 2/3 = ? Write a multiplication equation that corresponds to the division equation.

Answers

Answer:

4/5 * 3/2

Step-by-step explanation:

fraction division = multiplying the first fractions by the reciprocal of the second fractions (the tops are bottoms are flipped).

Express in simplest radical form.
V63

Answers

Answer:

Step-by-step explanation:

If you mean √63, you are better off not using a random symbol to represent √.

"Square root of 63" is much clearer.

Factor the radicand, then take the square root of the factors.

√63 = √(3²·7) = √3²· √7 = 3√7

thiannon is having a party. A total of 20 people are coming, How many pizzas
Will she need to buy if each person has 3 slices and the pizzas are sliced into
eighths?
Show your work and equation

Answers

Answer:

23

Step-by-step explanation:

adding with the problem

23 is the correct answer

The volume of this cylinder is 2700π(cubed)
Find the length of the radius, r.
Give your answer as a surd in its simplest form.
r ?
150cm is the height​

Answers

Given that,

The volume of the cylinder, [tex]V=2700\pi\ cm^3[/tex]

The height of the cylinder, h = 150 cm

To find,

The radius of the cylinder.

Solution,

The formula for the volume of the cylinder is given by :

[tex]V=\pi r^2 h\\\\r=\sqrt{\dfrac{V}{\pi h}}\\\\r=\sqrt{\dfrac{2700\pi }{\pi \times 150}}\\\\r=4.24\ cm[/tex]

So, the radius of the cylinder is 4.24 cm.

Only answer and show work if you know it :(( too many ppl fake it :(((

Answers

slope intercept is y=mx+b
so find your slope by subtracting the ys and xs then dividing y/x

3-1 = 2
0-3= -3

so number 10 is 1 = -2/3(3) + b

0- -4 = 4
15 - -5= 20

so number 11 is 15=1/5(0) +b

A bar of platinum has a length of 49.7 millimeters, a width of 28.5 millimeters, and a height of 3.4 millimeters. Describe how
doubling the length and width affects the volume.

Answers

Answer: the volume is 2 times bigger

Step-by-step explanation:

9631.86/4815.93

Volume of new bar will be increase 4 times

Give information:

Length of bar = 49.7 mm

Width of bar = 28.5 mm

Height of bar = 3.4 mm

New Length of bar = 2 × 49.7 = 99.4 mm

New Width of bar = 2 × 28.5 = 57 mm

Find:

Effect on the volume

Computation:

Volume of cuboid = l × b × h

So,

Volume of bar = 49.7 × 28.5 × 3.4

Volume of bar = 4,815.93 mm³

Volume of new bar = 99.4 × 57 × 3.4

Volume of new bar = 19,263.72 mm³

Effect on the volume = Volume of new bar / Volume of bar

Effect on the volume = 19,263.72 / 4815.93

Effect on the volume = 4 times

So,

Volume will be increase 4 times

Learn more:

https://brainly.com/question/15861918?referrer=searchResults

Evaluate b*2−16a+5 when a=1/2 and b=7.

Answers

Answer:

sdefrtghgg

Step-by-step explanation:

additive inverse
multiplicative inverse
0.8

Answers

Do you mean 0.8 = 8/10 = 80%? Ohhh... then it's 1.25!

Hope this helps!

Answer:

1.25

Step-by-step explanation:

1/0.8 = 1.25

If its not right im sorryyy

PLEASE HELP ME ASAP I REALLY NEED HELP OR IM GONNA FLUNK

Answers

Your picture is all white... sorry hun can’t help. Check your picture

A cognitive psychologist studying reading comprehension wanted to know what would happen if all college students were taught better reading strategies. She obtained a sample of 40 college students from the introductory psychology class and taught 20 of them effective reading strategies. The other 20 students were given a placebo treatment. She then gave all 40 students a standardized reading comprehension test. The mean score on the reading test for those taught the reading strategies was 49, with a standard deviation of 4 The mean score for those receiving the placebo treatment was 44, with a standard deviation of 3.8. Identi the independent variable in this study.
A) scores on the reading comprchension test
B) the sample of 40 college students
C) the reading strategies class
D) the treatment group (placebo or reading strategies)

Answers

Answer:

D.the treatment group (placebo or reading strategies)

Step-by-step explanation:

This cognitive psychologists wants to find out if better reading strategies when taught to students would have any effect on their test scores.

So the dependent variable in this experiment would be the test scores that she wants to find from the test.

While the independent variable would be the treatment group which is the placebo or treatment. The psychologist wants to measure outcomes in this dependent variable using changes in the independent variable (placebo/treatment).

Solve the equations in Parts A and B using inverse operations. Check your solutions. In your final answer, include all of your work.

Part A:
[tex]2x^2+5=13[/tex]

Part B:
[tex]2x^{3} - 13 = 5[/tex]

Answers

Answer:

A) ±2

B) 2.08

Step-by-step explanation:

A) Given the equation

2x² + 5 = 13

Add the additive inverse of 5 to both sides

2x² + 5 + (-5) = 13 + (-5)

2x² + 5 - 5 = 13 - 5

2x² = 8

x² = 4

x= ±√4

x = ±2

Hence the value of x is ±2

b) 2x³-13 = 5

Add the additive inverse of -13 to both sides

2x³-13 + 13 = 5 +13

2x³ = 18

x³ = 18/2

x³ = 9

x = ∛9

x= 2.08

Hence the value of x is 2.08

when 6.5percent pay cut is applied to your monthly salary 4,300 how many dollars will your monthly pay decrease

Answers

Multiply monthly salary by the percentage:

4300 x 0.065 = 279.50

The monthly pay decreases by $279.50

Pleaseeee help I already have the graph.
Solve each system of equations below
a) 5x + 2y = 8
y = 3x - 7

Answers

Answer: 5x + 2y = 8 = x=-2/5y+8/5

y = 3x - 7= x= 1/3y+7/3

Step-by-step explanation:

Write 2 7/10% as a fraction.

Answers

Step-by-step explanation:

Can you please reword your problem

Answer:

27/10

Step-by-step explanation:

please help I need help with this question??)):

Answers

Answer:

fourth degree monomial

Step-by-step explanation:

This is the answer by definition.

The random variable X is exponentially distributed, where X represents the waiting time to see a shooting star during a meteor shower. If X has an average value of 85 seconds, what are the parameters of the exponential distribution

Answers

Answer:

the parameters are [tex]\lambda = \frac{1}{85} , \mu = 85, \sigma = 85[/tex]

Step-by-step explanation:

The computation of the parameters of the exponential distribution is as follows:

Given that

X has an average value of 85 seconds

So, [tex]\mu[/tex] = mean = 85

[tex]\lambda = \frac{1}{\mu}\\\\= \frac{1}{85}[/tex]

[tex]\sigma = \mu = 85[/tex]

In the case of the exponential distribution, the mean would be equivalent to the standard deviation

So, the parameters are [tex]\lambda = \frac{1}{85} , \mu = 85, \sigma = 85[/tex]

Please me!! I don't really don't understand how to do this problem ​

Answers

Answer:

1 is -8 2 is -9i

Step-by-step explanation:

when you combine the numbers on the left side they should equal the ones on the right side. -8+15=7 -3i-9i=-12i  = 7-12i

PLEASE HELP IM REALLY SICK AND CAN THINK SO HELP MEEEE

Answers

Answer:

A. y = 91.1765x - 346.5708B. 64 lbs

Step-by-step explanation:

Part A

Use the data in the table to get the best fit line, with equation:

y = mx + b

To do so follow the steps:

1. Let the Height be x and the Weight be y

Sum x and y

∑x = 5.3 + 5.4 + 5.3 + 6 = 22∑y = 140 + 150 + 130 + 200 = 620

2. Sum x² and xy

∑x² = 5.3² + 5.4² + 5.3² + 6² = 121.34∑xy = 5.3*140 + 5.4*150 + 5.3*130 + 6*200 = 3441

3. Calculate m, considering n = 4 (number of data values)

m = (n∑xy -∑x∑y)/(n∑x² - (∑x)²) = (4*3441 - 22*620)/(4*121.34 - 22²) = 124/1.36 = 91.1765

4. Calculate b:

b = (∑y - m∑x)/n =(620 - 91.1765*22)/4 = -1385.883 /4 =-346.4708

We got the best line fit formula:

y = 91.1765x - 346.5708Part B

Finding y for x = 4.5:

y = 91.1765*4.5 - 346.5708 = 63.72345 ≈ 64 lbs

alison's stated,"The circumference of a circle is approximately six times the radius of a circle." Is Alison's statement correct? Explain your reasoning.​

Answers

Hope this helps have a nice day

HELP

What do you think the difference between the solid line and dotted line ?


Answers

Answer:

the solid line is desending and its negative slope and the dotted line is progressing and has a positive slope

solid line - middle line of actual number of runs allowed

dotted line - estimated number of runs allowed

5. Order from least to greatest.
17 94
0.951,
20% 100


Pls help

Answers

0.951    20%    17   94   100

What is the length of LM if L(3,4) and M(1,-2)? Round to the nearest tenth.

A) 7.2
B) 6.0
C) 2.8
D) 6.3

Answers

Answer:

We conclude that the length of LM if L(3,4) and M(1,-2) will be:

[tex]d = 6.3[/tex]

Hence, option D is correct.

Step-by-step explanation:

Given

L(3,4)M(1,-2)

Determining the length of LM

(x₁, y₁) = (3, 4) (x₂, y₂) = (1, -2)

The length of the distance between (x₁, y₁)  and (x₂, y₂)  can be determined using the formula

[tex]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

substituting (x₁, y₁) = (3, 4) and (x₂, y₂) = (1, -2)

   [tex]=\sqrt{\left(1-3\right)^2+\left(-2-4\right)^2}[/tex]

   [tex]=\sqrt{2^2+6^2}[/tex]

   [tex]=\sqrt{4+36}[/tex]

   [tex]=\sqrt{40}[/tex]

   [tex]=\sqrt{4\times 10}[/tex]

   [tex]=\sqrt{2^2\times \:10}[/tex]

   [tex]=2\sqrt{10}[/tex]

   [tex]=6.3[/tex]

Therefore, we conclude that the length of LM if L(3,4) and M(1,-2) will be:

[tex]d = 6.3[/tex]

Hence, option D is correct.

PLZ HELP I REALLY NEED IT
The Ural Mountains are an important geographic feature of Russia because
they
A. provide fertile soil for growing crops,
B. receive more rainfall than any other region
o separate the continents of Europe and Asia,
OD keep the climate in Siberia warm all year round

Answers

Answer: separate the continents of Europe and Asia THIS IS RIGHT

Step-by-step explanation:

⚡️⚡️⚡️ I WILL MARK BRAINLIEST ⚡️⚡️⚡️

Use the ratio table to find the unit rate with the specified units.

feet per year
Years

2
6
10
14
Feet
7.2
21.6
36
50.4

Answers

Answer

3.6 feet per year.

Step-by-step explanation:

In order to get the unit rate you need to divide the feet by the years. So you need to do 7.2 feet/by 2 years in order to get 3.6 feet for one year

Help me out!, legit answers pls.

Answers

Answer:

2

Step-by-step explanation:

answer fast
Which statement is true?



If a relationship is non-linear, it is not a function.



A graph of a curve is linear.



A graph that shows a constant rate of change is linear.



A non-linear relationship has a constant slope.

Answers

Answer:

a graph of curve is linear

Identify the y-intercept of the exponential
function.

Answers

(0,1) is the correct answer :)
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