Find the equation of the linear function represented by the table below in slope intercept form

Find The Equation Of The Linear Function Represented By The Table Below In Slope Intercept Form

Answers

Answer 1

Answer:

the slope is "1"

the y-intercept is "5"

y = x + 5

Step-by-step explanation:

In order to find the slope, we use the slope formula with any pair of points, for example: (1, 6) and (3, 8):

slope = (y2-y1) / (x2 - x1)

in our case:

slope = (8 - 6) / (3 - 1) = 2/2 = 1

then the slope is "1".

Now we write the general "slope-intercept" equation of a line using the slope we found:

y = m x + b

y = 1 x + b

and now use one of the points (for example (3, 8) to find the intercept "b":

(8) = 1 (3) + b

8 - 3 = b

b = 5 (y intercept)

Then the equation of the line can be written as:

y = x + 5


Related Questions

Factor -6 out of 18z - 15

Answers

Answer: -6(-3z+15/6)
Divide both 18z and -15 by -6 and then put -6 outside the parentheses with the quotients on the inside so the -6 can be distributed to create 18z-15

In mathematics, a factor is an integer or algebraic expression which divides another number or expression evenly, giving no remainder, and the further calculation can be defined as follows:

Given:

[tex]\bold{-6\ out \ of (18z - 15)}\\\\[/tex]

To find:

Factor=?

Solution:

[tex]\to \bold{-6\ out \ of (18z - 15)}\\\\\to \bold{-6\times \frac{(18z - 15)}{-6}}\\\\\to \bold{-6\ (-3z + \frac{5}{2})}}\\\\[/tex]

Therefore, the final answer is "[tex]\bold{-6\ (-3z + \frac{5}{2})}}[/tex]".

Learn more:

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120 Calories in 2 servings; 360 Calories in 6 servings are these two equal

Answers

Yes because 120/2=60 360/6=60

What is the slope of the line that passes through the two given points? (13, -2) and (3, -2)

Answers

Answer:

[tex]the \: slope \: is \: \boxed{0}[/tex]

Step-by-step explanation:

[tex]the \: slope \: : m = \frac{ - 2 - ( - 2)}{3 - 13} = - \frac{0}{10} [/tex]

When you convert 3,500,000,000,000 to scientific notation, the exponent

Answers

Answer:

The exponent is positive, and the exponent is 12

Step-by-step explanation:

A fair six-sided die is rolled. Find the probability of getting a 4.​

Answers

Answer:

A fair six-sized die is rolled. Find the probability of getting at least a 4.

There are 6 outcomes and three of them are 4, 5 or 6, so the probability of greater than or equal to 4 is 3/6=½.

Jackie and her family went out for dinner for her birthday. The cost of the dinner before sales tax was $76.45. The family decides to tip 20% for the good service they received. How much did Jackie's family leave as a tip for her birthday meal?

Answers

Answer:

15.29 i think

Step-by-step explanation:

As a person cycling increases speed, the rate of calorie burned, distance traveled, and energy expended also increase. Which of the following is the independent variable?Please explain why you chose this answer to better understand.
a. Calories
b. Energy
c. Distance
d. Speed​

Answers

Answer:

c because the distance is important

Xavier's car used 4 gallons to travel 152 miles. How many miles can the car go
on one gallon of gas?

Answers

Answer:

1 gallon of gas= 38 miles

Step-by-step explanation:

152÷4= 38.

A volunteer is buying 10 blankets for the animal shelter. Shipping the blankets will cost $12 and the volunteer has $75 total to spend. What is the maximum amount the volunteer can spend for each blanket? Write an inequality that would represent the situation and solve the inequality. Show your work to justify your answer.

Answers

Answer:

6.3

Step-by-step explanation:

10 blankets with an unidentified price plus 12 for shipping is equal to 75

10x+12=75

minus 12 from both sides

10x=63

divide 10 from both sides

x=6.3

Now, let's prove the answer is true.

10x+12=75

Replace x with 6.3

10(6.3)+12=75

10 times 6.3

63+12=75

75=75

The statement is true.

Find the missing angle measure. 50, x, and 100

Answers

Answer:

All angles in a triangle add up to 360

360-100-50 = 210

x = 210

Step-by-step explanation:

the distance from earth to the sun is approximately 93 million miles about how many giga meters is this round to the nearest hundredth ​

Answers

Answer: 149.7

Step-by-step explanation:

What is eighteen lots of twelve?​

Answers

Answer:

216

Step-by-step explanation:

Lots of means multiplication so:

18 × 12 = 216

HOPE THIS HELPED

Just answer for a brainlist :-)

Answers

1. the constant rate of change is 6
2. the constant rate of change is 9

What is the interquartile range of the numbers 9, 28, 16, 2, 33, 6, 10

Answers

Answer:

IQR = 22

Step-by-step explanation:

IQR Formula:

IQR = Q3 - Q1

In order you find Q3 and Q1, please follow these steps:

1. First, you need to order the list of numbers from least to greatest:

2, 6, 9, 10, 16, 28, 33

2. Then, you need to find the median, or the middle number.

2, 6, 9, 10, 16, 28, 33

3. In order to find IQR, you must find the first and third quartiles.

2, 6, 9, 10, 16, 28, 33

Q1 = 6

Q3 = 28

This is because 6 basically means that all the numbers leading to 6 would account for 25% of the data while all the numbers leading to 28 would account for 75% of the data, hence why these are called quartiles.

Now since you have Q1 and Q3, you follow the formula.

28 - 6 = 22

IQR = 22

A public parking garage charges $5, plus an additional $2 per hour.

Choose the graph of the line relating parking costs to time (in hours).

Answers

Answer:

y=2x+5

Step-by-step explanation:

Answer:

you might not need the answer now, but for anyone else its a and part a is y=2x+5

Step-by-step explanation:

vicent is making a number sentence using 1,3 and 5. what is the missing digit? show your work out.​

Answers

5.6 is the correct answer because 1.3 +4.3 would be 5.6 so the next one in the sequence is 9.9

Thomas went to the store to buy a couple of items for his mother at the store. He purchased a gallon
of milk for $2.15, a gallon of orange juice for $4.68, and a loaf of bread for $2.49.
If the sales tax is 8.25%, what is the total cost?

Answers

Answer:

$10.09

Step-by-step explanation:

2.49 + 2.15 + 4.68 = 9.32

9.32 * 0.825 = 0.77

9.32 + 0.77 = 10.09

I hope this helped, please mark Brainliest, thank you!!

Solve & Share
Renee needs 32 strands of twine for an
art project. Each strand must be 1.25 centimeters long.
About how many centimeters of twine does she need?
Solve this problem any way you choose!

Answers

he need 26 centimeters



I bought a car of 650,000 and
sold it for 520,000. Find the
lost Percent ?

Answers

Answer:

20% decrease in value.

Step-by-step explanation:

Do 650,000 divided by 100 to find what 1% of the original price is:

650,000 divided by 100 = 6,500

To find what percentage of the original price 520,000 is, we divide it by 1% of the original cost (6,500):

520,000 divided by 6,500 = 80 (percent)

So if 520,000 is 80% of 650,000 the car has decreased in value by 20%.

Simplify
114
11
1
1112
01
114
0 114
0 11 12

Answers

The answer is A. Im not exactly sure how to get there I just plugged it into my calculator.

What is the length of the bedroom.

Answers

Answer:

[tex]10\sqrt{3}[/tex]

Step-by-step explanation:

The length of the bedroom would be [tex]4\sqrt{3}+ 6\sqrt{3}[/tex] which would equal [tex]10\sqrt{3}[/tex] because when 2 numbers have the same radical, you just add the number in front.

Answer:

14.69ft by 17.31 ft

Step-by-step explanation:

If you do 6 to the square root of 6 then you get 14.69 then you do the same for the other two and get 10.39 and 6.92 then you add those two new numbers up and get 17.31

Which of the following equations has no solutions?
A.7x - 3x - 4 - 4
B.7x - 3x + 4 = 4
C.3(2x - 4) - 6(x - 2)
D.3(2x - 4) = 61X + 2)

Answers

May. Be D



Am I right

Twelve people together can clear a field in eighteen hours. In how many hours could
nine people have cleared the same field? (Assume that all people clear a field at the
same rate.)

Answers

12x18/9=24..............

Suppose you deposit $600 in a bank account with a simple interest rate of 2.5%. You want to keep
your deposit in the bank long enough to earn at least $120 in interest. How long should you keep your
deposit in the bank?
To earn at least $120 interest, you should keep your deposit in the bank for year(s).

Answers

Answer:120/2.5%

Step-by-step explanation:

f(x) = x2-3x2
g(x) = 4x + 5
Find ( f - 2g)(7)
A) -14 B) -26
C) 130
D) -10

Answers

This is confusing also this is actual answer: 7f - 14g

Help??
Anyone??
Need it in 3 min
7th grade math

Answers

Answer:

4.24 inches

Step-by-step explanation:

212/50

Answer:

4.24 inches

Step-by-step explanation:

To get the answer you divide 212 miles by 50 miles.

Let f(t)=6−2t2. Evaluate f(t+1).

Answers

Answer:

f(t+1)= -4t+2

Step-by-step explanation:

Subsitute the given vaule into the function and evaluate.

2/3b + 5 = 20 - b
b=???

Answers

Answer:

The correct answer is b=9

Is (2, 2) a solution of the inequality y < 3x - 5?

Answers

Answer: it’s not a solution or C

Step-by-step explanation:

the given point is (2,2) there is a x value and a y value

so 2 < 3(2)-5 *we know 3*2 is 6 and 6-5 is 1*

2 does NOT equal to 1

Answer:

Third option, It is not a solution.

Step-by-step explanation:

Consider the system of equations below. What could be the first step in solving by elimination?

Answers

Answer:

The first step would be to multiply the bottom equation by -1 to eliminate x, then you would combine like terms, like 5y + 2y, and 16 + 10.

Answer:

Subtracting the 2 equations

Step-by-step explanation:

3x + 5y = 16

3x + 2y = 10

Subtract it;

3y = 6

Divide both sides b 3;

y = 2

Substitute y;

3x + 5y = 16

3x + 5(2) = 16

3x + 10 = 16

Subtract 10 from both sides;

3x = 6

Divide both sides by 3;

x = 2

(x, y) = (2, 2)