A line includes the points (3, 1) and (4, 4). What is its equation in slope-intercept form?

Answers

Answer 1

The equation in slope-intercept form is y = 3x - 8.

What is the slope-intercept form?

The equation of a straight line that passes through a particular point and is inclined at a specific angle to the x-axis can be found using the point-slope form. Every point on a line must satisfy the equation for the line in order for it to exist. This implies that a line is represented by a linear equation in two variables.

Here, we have

Given: Line includes the points (3, 1) and (4, 4).

Slope intercept: y = mx + b

We first find the slope, m, using the point-slope

Slope(m) = (y₂ - y₁)/(x₂ - x₁) = (4 - 1)/(4 - 3) = 3

Now, we find the y-intercept, b, Using any points' x and y values in y = mx + b with the found slope.

Put the slope into y = mx + b

y = 3x + b

Now, we took points (3, 1) to get slope intercept form and we get

1 = 3(3) + b

b = -8

Now, we put the value of b in y = mx + b and we get

y = 3x - 8

Hence, the equation in slope-intercept form is y = 3x - 8.

To learn more about the slope-intercept form from the given link

https://brainly.com/question/25826868

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Related Questions

‼️ANSWER QUICKLY THIS IS A TIMED TEST ‼️The community garden in your neighborhood has three
different types of vegetable plants: peppers, tomatoes, and
cucumbers. The ratio of the number of peppers to tomatoes
to cucumbers is 1:5:3. If there are 48 cucumber plants in the
garden, how many total vegetable plants are there in the
garden?

Answers

I’m not 100% sure but I think it’s 80

si la cantidad de nacimientos es de 19 bebes por día, Cuántos nuevos habitantes existieran en 300 días​

Answers

la respuesta correcta es: 5,700

Answer:

5700

Step-by-step explanation:

Vi en la calculadora yo xd

From an airplane flying over the ocean, the angle of depression to a submarine lying under the surface if 24 degrees 10 minutes. At the same moment, the angle of depression from the airplane to a battleship is 17 degrees 30 minutes. The distance from the airplane to the battle ship is 5120 ft. Find the distance between the battleship and the submarine.

Answers

I think is 10 m/ s per sec

HELP ME I NEED SOMEONE TO SHOW WORK AND AWNSER QUESTION ITS TIMED PLEASE HURRY 60 POINTS FOR IT!

Answers

Answer:

Hope this helps, thank you !!

The 59th and 4th team of an Ap are - 61 and 64 respectively. Show that the common differences is - 2.5 and 23rd term is 16.5​

Answers

Answer:

See answers below

Step-by-step explanation:

T59 = a+58d = -61

T4 = a+3d = 64.

Subtract

58d-3d = -61-64

-55d = -125

d =125/55

d = 25/11

Get a;

From 2

a+3d = 64

a+3(25/11) = 64

a = 64-75/11

a = 704-75/11

a = 629/11

T23 = a+22d

T23 = 629/11+22(25/11)

T23 = 1179/11

The cost (C) for P pounds of apples can be represented by the equation c=4p. Graph the proportional relationship between the number of pounds of apples and the total cost.

HELP ASAP PLEASE

Answers

Hi how was you day hope it was good mine was good bye


Find the length of the hypotenuse if a = 5 and b = 7. Round to the nearest tenths.

Answers

Answer:

8.6

Step-by-step explanation:

To find the length of a hypotenuse, use the formula a²+b²=c² where c is the hypotenuse. In this case, it's 5²+7²=c². Then do the calculations and take the square root to find c. 25 + 49 = c². 74=c². The square root of 74 to the nearest 10th is 8.6

Does anybody know how to do this?

Answers

Answer:

hajajajanannanssjaiwowi

Help plz:)))I’ll mark u Brainliest

Answers

Answer:

28ft

Step-by-step explanation:

The length is 8 1/3 yd the width is 6 3/4 yd what is the area

Answers

Answer:

56 and 1/4 square yds

Step-by-step explanation:

Whats the equation in slope-intercept form -y - 3x = 4

Answers

Answer:

y = -3x - 4

Step-by-step explanation:

Using algebra we solve for solely y

-y = 3x + 4

y = -3x - 4

Pls help me with this

Answers

Answer:

the third one!

Step-by-step explanation:

Because it says, the SUM of the number, x (or z I can't really see it well) and 1/2, you must add those two together:

1/2 + x

Then it says those two numbers equal to 4, so it would look like this:

1/2 + x = 4

Because you are trying to isolate, and solve for x, you must SUBTRACT 1/2 from both sides of the equal sign:

1/2  +  x  =  4

-1/2            -1/2

1/2 minus 1/2 would result 0, so there would be x by itself. and 4 minus 1/2 would be 3 and a half ( 3  1/2), so x would be  3  1/2

x = 3 1/2

Hope this helped. If this is incorrect please specify so I can help :)

Pls help im an idiot and cant solve this first gets brainliest

Answers

Answer:

1. 6 x 7/2 = 21

2. 6 x 10/3 = 20

3. 6 x 25/6 = 25

Step-by-step explanation:

What is the probability of drawing an even numbered card keeping it then drawing another even numbered card from a stack of 24 card numbered 1-24

Answers

Answer: I think

Step-by-step explanation:

1/12

Simplify this expression.
(2 - 5/6) 3/2
O 6V2 - 1576
62 - 15/12
O 672-876
O 672-30/3

Answers

Answer:

The second one is correct

Answer:

b

Step-by-step explanation:

Mary buys a pair of jeans for $24.99, a skirt for $32.99 and a pair of shoes for $49.99. She has a coupon for 15% off the most expensive item. If the tax is 7.5%, what is the total cost?

Answers

no lm not sure but lm sure$107.97

Step-by-step explanation:

okieee

The total cost is $108.01.

What is a percentage?

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Mary buys a pair of jeans for $24.99, a skirt for $32.99 and a pair of shoes for $49.99.

She has a coupon for 15% off the most expensive item.

And the most expensive item costs $49.99.

That means, 15% of 49.99

15 x 49.99 = $7.4985

So, the total amount 24.99 + 32.99 + 49.99 - 7.4985

= 100.4715

The tax is 7.5%.

That means,

7.5% of 100.4715

7.5 x 100.4715 / 100 = 7.5353625

Now the total cost = 100.4715 + 7.5353625 = 108.0068625

Therefore, $108.01 is the total cost.

To learn more about the percentage;

https://brainly.com/question/24159063

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Which of the following is not a characteristic of both experiments and
surveys?
A. The researcher exercises direct control over at least one variable.
B. Subjects should be randomly selected.
C. Data are collected about a population.
D. The data collected might be studied for patterns.

Answers

The researcher exercise direct control over at least one variable.

Answer:

C?correct me if I'm wrong

A rectangle has a width of 9 km and a length of 6 km. How does the area change when each dimension is multiplied by 3? The area is increased by a factor of 3. The area is increased by a factor of 6. The area is increased by a factor of 9. The area is increased by a factor of 18.

Answers

Answer:

The answer is increased by 9

Step-by-step explanation:

Determine the missing card value that will result in a product of -324.
-6 3 -9

Answers

Answer:

-2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

-324 ÷ -6 ÷ 3 ÷ -9 = 162

-324 ÷ 162 = -2

A dozen of oranges costs P288.50. About how much is the cost of 5.75 dozen?
A.$2,800
B.$1,900
C.$1,800
D.$900​

Answers

Answer:

A is the correct answer, hope this helps

11. Let f(x) = 2x² + 7x + 5

Answers

Answer:

(x+1)(2x+5)

Step-by-step explanation:

f(x) = 2x² + 7x + 5

Factor the expression by grouping. First, the expression needs to be rewritten as 2x²+ax+bx+5. To find a and b, set up a system to be solved.

a+b=7

ab=2×5=10

Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 10.

1,10

2,5

Calculate the sum for each pair.

1+10=11

2+5=7

The solution is the pair that gives sum 7.

a=2

b=5

2x²+7x+5 as (2x²+2x)+(5x+5).

(2x²+2x)+(5x+5)

Factor out 2x in the first and 5 in the second group.

2x(x+1)+5(x+1)

Factor out common term x+1 by using distributive property.

(x+1)(2x+5)

Help me answer question 1 ​

Answers

Answer:

The answer is option

3 and 4

The data given below contain the state cigarette tax​ (in $) for all 20 regions of a country.
1.36
1.70
2.50
0.45
1.18
0.64
3.46
0.57
2.00
0.80
1.60
0.98
0.36
2.24
4.35
0.62
2.70
1.78
1.53
0.84

Required:
a. Compute the population mean and population standard deviation for the regional cigarette taxes.
b. The population standard deviation is σ=_______
c. Interpret the parameters in​ (a).

1. The population mean is the average amount of regional cigarette tax. The population standard deviation represents the amount of spread in the regional cigarette tax around the median.
2. The population mean is the most common regional cigarette tax. The population standard deviation represents the amount of spread in the regional cigarette tax around the median.
3. The population standard deviation is the average amount of regional cigarette tax. The population mean represents the amount of spread in the regional cigarette tax around the standard deviation.
4. The population mean is the average amount of regional cigarette tax. The population standard deviation represents the amount of spread in the regional cigarette tax around the mean.

Answers

Answer:

(a) [tex]\bar x= 1.583[/tex] -- Population Mean

(b) [tex]s = 1.032[/tex] --- Population standard deviation

(c) See Explanation

Step-by-step explanation:

Given:

Cigarette tax for 20 regions

Solving (a): The population mean

This is calculated as:

[tex]\bar x = \frac{\sum x}{n}[/tex]

[tex]\sum x = 1.36 + 1.70 + 2.50 + 0.45 + 1.18 + 0.64 + 3.46 + 0.57 + 2.00 + 0.80 + 1.60 +0.98 + 0.36 + 2.24 + 4.35 + 0.62 + 2.70 + 1.78 + 1.53 + 0.84[/tex]

[tex]\sum x = 31.66[/tex]

[tex]n = 20[/tex]

So, we have:

[tex]\bar x= \frac{31.66}{20}[/tex]

[tex]\bar x= 1.583[/tex]

Solving (b): The population standard deviation

This is calculated as:

[tex]s = \sqrt{\frac{\sum( x - \bar x)^2}{n}[/tex]

[tex]\sum (x -\bar x)^2 = (1.36 - 1.583)^2 + (1.70 - 1.583)^2+ (2.50 - 1.583)^2+ (0.45 - 1.583)^2+ (1.18 - 1.583)^2+ (0.64 - 1.583)^2+ (3.46 - 1.583)^2+ (0.57 - 1.583)^2+ (2.00 - 1.583)^2+ (0.80 - 1.583)^2+ (1.60 - 1.583)^2+(0.98 - 1.583)^2+ (0.36 - 1.583)^2+ (2.24 - 1.583)^2+ (4.35 - 1.583)^2+ (0.62 - 1.583)^2+ (2.70 - 1.583)^2+ (1.78 - 1.583)^2+ (1.53 - 1.583)^2+ (0.84- 1.583)^2[/tex]

[tex]\sum (x -\bar x)^2 = 21.29222[/tex]

So:

[tex]s = \sqrt{\frac{21.2922}{20}[/tex]

[tex]s = \sqrt{1.06461}[/tex]

[tex]s = 1.032[/tex]

Solving (c):

Population mean tells the average amount while the standard deviation represents the spread from the calculated mean

Option (4) is correct

PLEASE ANSWER QUICKLY I NEED AN ANSWER PLEASE ;0;

Answers

Answer:

infinitely many solution......

Keith has saved 12 quarters from washing cars how many cents does Keith have

Answers

Answer:300

Step-by-step explanation:25 cents each quarter so the equation would be 12 times 25.

Answer: 300 cents

Step-by-step explanation: 12 quarters saved, 1 quarter = 25 cents, 12 x 25 = 300

PLEASE HELP! WILL MARK BRAINLIEST

Answers

Answer:

I don't know Im sorry

Step-by-step explanation:

8.652
10)
1.2
Help please

Answers

Answer:

1.921

Step-by-step explanation:

1.921 is the correct anwser

can someone please help me
Step-by-step explanation please

Answers

Answer:

x=3

Step-by-step explanation:

AB+BC>AC

2x + 3 + x + 1 > x + 10

we correct like terms

2x + x + 3 + 1> x+ 10

3x + 4> x + 10

3x - x > 10-4

2x > 6

divide both sides by 2

2x÷2 > 6÷2

x = 3

Evalua la siguiente
expresión algebraica si
X=3 Y=2
3x + 4y =

Answers

Answer:

3x + 4y = 17

Step-by-step explanation:

Espero y te haiga ayudado :)

please help me asap!!

Answers

Answer:

3

Step-by-step explanation:

If it is 10 on the big one and 5 on the small ones it is half. So half of 6 is 3

Answer:

f=3

Step-by-step explanation:

5/10=x/6

10x=30

x=3

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