write the equation of the line for the following table of values.


x. -3 -5 -7 -9 -11


y. -16 -26 -36 -46 -56


Plz helppp 35 points:)​

Answers

Answer 1

Answer:

We conclude that the equation of the line is:

[tex]y = 5x + 1[/tex]

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

Given the data table

x      -3 -5 -7 -9 -11

y      -16 -26 -36 -46 -56

From the table taking two points

(-3, -16)(-5, -26)

Determining the slope between (-3, -16) and (-5, -26)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-3,\:-16\right),\:\left(x_2,\:y_2\right)=\left(-5,\:-26\right)[/tex]

[tex]m=\frac{-26-\left(-16\right)}{-5-\left(-3\right)}[/tex]

[tex]m=5[/tex]

Thus, the slope of the line is:  m = 5

substituting m = 5 and (-3, -16) in the slope-intercept form of the line equation  to determine the y-intercept b

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

-16 = 5(-3) + b

-16 = -15 + b

b = -16+15

b = 1

Thus, the y-intercept b = 1

now substituting m = 5 and b = 1 in the slope-intercept form of the line equation

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

[tex]y = 5x + 1[/tex]

Therefore, we conclude that the equation of the line is:

[tex]y = 5x + 1[/tex]

Related Questions

Help who ever. actually helps me gets brainliest.​

Answers

Answer:

A, C

Step-by-step explanation:

6 boxes in 1/2 hour means 12 boxes in 1 hour (there are 2 half-hours in 1 hour) so multiply 6 by 2

dividing 6 by 1/2 is the same as multiplying 6 by 2

Base 72; percentage 12

Answers

Answer:

16.67

Step-by-step explanation:

12 is what percent of 72? = 16.67

Answer:

exactly. 16.67

is the answer its process is simple suppose x

The table shows the temperature (y) at different altitudes (x), This is a linear relation ship. Use the equation y= -0.004x+69 to determine the temperature at an altitude of 5,000 feet.

Answers

Answer:

49

Step-by-step explanation:

i just did it

Help plz:)))I’ll mark u Brainliest

Answers

Answer:

ST = 8 m

Step-by-step explanation:

Since ∆PQR is congruent to ∆STU, therefore, the three sides of ∆PQR would be congruent or equal to the corresponding three sides of ∆STU.

PQ corresponds to ST.

Therefore, PQ is congruent to corresponding side ST, which is 8 m

ST = 8 m

Solve for x.
3(3x+3)-5x-4= 25

Answers

3(3x + 3)-5x - 4 = 25
9x + 9 - 5x - 4 = 25
4x + 5 = 25
4x + 5 - 5 = 25 - 5
4x = 20
4x/4 = 20/4
X = 5

Answer:

3(3x + 3) - 5x - 4 = 25

9x + 9 - 5x - 4 = 25

9x - 5x - 4 = 16

4x - 4 = 16

4x = 20

x = 5

Solve the following equation.
7(x - 2) = 3(x + 4)
X = ?

Answers

Answer:

x=6.5

Step-by-step explanation:

Don't worry I just know

Answer:

X = 13/2

Step-by-step explanation:

7(x-2)=3(x+4)

Distribute

7x - 14 = 3x + 12

-3x from both sides

4x -14 = 12

Add 14

4x = 26

Dive by 4

X = 13/2

If u simplify 26/4

Chris need to buy 4 shirts, all costing the same amount. he uses a $25 gift card.he can spend no more than $75. write an inequality to find the possible cost for a shirt​

Answers

Answer:

it would be 3

Step-by-step explanation:

Answer:

21.25 for one shirt so it 75 in all if you add all the shirts

A chocolate chip cookie recipe calls for 2 cups of chocolate chips for every 3 cups of flour. How much flour would you use if you only had 1 cup of chocolate chips?​

Answers

Answer:

you would use 1.5 cups of flour

Solve the special right triangle to find the missing sides. Leave your answer as a simplified radical

Answers

Answer:

[tex] \tan(30°) = \frac{12}{r} \\ \frac{1}{ \sqrt{3} } = \frac{12}{r} \\ \boxed{r = 12 \sqrt{3} }[/tex]

and,

[tex] \sin(30°) = \frac{12}{t} \\ \frac{1}{2} = \frac{12}{t} \\ \boxed{t = 24}[/tex]

Can someone help me with the work please I did it I want to make sure it great please someone look at it please

Answers

Answer:

whar that so easy

Step-by-step explanation:

yes is all correct I just check it but check it on a calculator too

my teacher would like you to solve this using fraction ex:(345/x=727/2355) (just a heads up!!) please help :)​

Answers

The answer is your teacher different

1/2(6y-8)-(12y-16)+7

Answers

Answer:

-9y + 19

Hope that helps.

Find the cost of Each Treat:
Total:
$25.71
$24.414
O
$25.71
Total:
$25.71
$23.21
$26.94
Help please rly fast.
I’ll rate you very good and do whatever. Thanks

Answers

Answer:

Ice cream is 8.98

Step-by-step explanation:

Hope this isn’t too difficult, my teacher said to show you're work... so I hope you don’t mind explaining how you found it.

Answers

Answer:

3/4 / 1/6

keep the first fraction the same

3/4

flip the second fraction

6/1

change the division to a multiplication it should then read

3/4 X 6/1

now multiply the fractions

3 X 6 = 18

4 X 1 = 4

18/4 this can then be turned into a mixed number.

there are four 4's in 18 with two left over. so it becomes

4 2/4 and simplified 4 1/2.

Amy rides her bicycle for 3 hours at a speed of 40 miles per hour. What distance does she travel? Immersive Reader (1 Point) 13.3 miles 0.075 miles 120 miles 43 miles

Answers

Answer:

120

Step-by-step explanation:

3 * 40 = 120

-8, 1, 10...
n
What is a formula for the ninth term of the given sequence

Answers

9514 1404 393

Answer:

  a9 = -8 +9(9 -1)

Step-by-step explanation:

The given sequence has a common difference of 1-(-8) = 10-1 = 9, and a first term of -8. The formula for the n-th term of such an arithmetic sequence is ...

  an = a1 +d(n -1) . . . . . first term a1, common difference d

For the parameter of this sequence, a1=-8 and d=9, the n-th term is ...

  an = -8 +9(n -1) . . . . formula for the n-th term

__

Then the formula for the 9th term is ...

  a9 = -8 +9(9 -1)

If the rate of inflation is 3.4% per year, the future price pt (in dollars) of a certain item can be modeled by the following exponential function, where t is the number of years from today.
pt = 2500(1.022t)
Find the current price of the item and the price 10 years from today.

Answers

Answer:

The answer is "3107.75".

Step-by-step explanation:

[tex]\text{Rate of inflation} = \frac{3.4 \%}{year}[/tex]

[tex]\to p(t)= 2500 (1.022)^t[/tex]

when t= 0  

[tex]\to p(0) = 2500(1.022)^0[/tex]

           [tex]= 2500 \times 1\\\\= \$ 2500[/tex]

When t=10

[tex]\to p(10)=2500(1.022)^{10}[/tex]

             [tex]= 2500 \times 1.2431\\\\= 3107.75[/tex]

I’ll give brainly
Find m GPQ

Answers

Answer:

130 degrees

Step-by-step explanation:

All you have to do is add the measure of angle R and angle Q, which are 35 and 95. 35 + 95 = 130 degrees

Pls help extra points and mark brainlist easy reading

Answers

Answer:

prove to be right should be the correct answer?

Step-by-step explanation:

In cases like that, switch the word out for it's definitions and choose the one that fits best too, like "He was not sure how he would prove his actions to be right to his family"

PLS HELP ASAP
WILL MARK BRAINLIEST

Answers

Answer:

first blank is x, then -7, then 11, then -11.

Step-by-step explanation:

Hope it helps!

27x + 30x - 17x =400 + 80
solve for x show your work

Answers

Answer: X = 12

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

27x+30x−17x=400+80

27x+30x+−17x=400+80

(27x+30x+−17x)=(400+80)(Combine Like Terms)

40x=480

40x=480

Step 2: Divide both sides by 40.

40x

40

=

480

40

x=12

Answer:

x=12

Answer:

Lynnetta gets paid weekly for completing household chores. The amount of money she earns for doing dishes, D, is
approximately Normally distributed with a mean of $53 and a standard deviation of $3.60. The amount of money she
earns for doing laundry, L, is approximately Normally distributed with a mean of $47 and a standard deviation of
$4.10. Assume that D and L are independent random variables.
What is the probability that Lynnetta will earn more than $110 in a randomly selected week?
0.034
0.097
0.249
0.966

Answers

Answer:

its a

Step-by-step explanation:

i guessed on edge lol

There are 564 men and women working in a facten
There are twice as many women as men.
How many men are working in the factory

Answers

1.128 men good luck on it^^^^^^^^^ hope it helps

please answer asap!!!!

Answers

Answer:  VX = 37

=======================================================

Explanation:

VX is a midsegment and it is half as long compared to the parallel side UY. This means UY is twice as long compared to VX

UY = 2*(VX)

s = 2*(s-37)

s = 2s - 74

s-2s = -74

-s = -74

s = 74

This makes UY be 74 units long

So VX = (1/2)*UY = 0.5*74 = 37

Answer:

37

Step-by-step explanation:

The midsegment theorem states that a midsegment is half the measure of the line it is parallel to (the base).  So VX is 1/2 of UY. So:

2(s-37)=s

2s-74=s

s=74

VX= 37

How much change should Mack get back when he uses $20.00 to pay for purchases totaling $14.35?

Answers

Answer:

5

Step-by-step explanation:

i anserwed it on the test

Test your knowledge of lines with the following:

Answers

Wow. That’s great. Nice

Harriet buys lunch at school every day. She always gets
pizza when it is available. The cafeteria has pizza about 80% of the time.

Harriet runs a simulation to model this using a random
number generator. She assigns these digits to the possible outcomes for each day of the week:

• Let 0 and 1 = no pizza available

• Let 2, 3, 4, 5, 6, 7, 8, and 9 = pizza available

The table shows the results of the simulation.

Group number
Random digits
1: 19223
2: 73676
3: 45467
4: 52711
5: 95592

Group number
Random digits
6: 68417
7: 82739
8: 60940
9: 36009
10: 38448

What is the estimated probability that Harriet will eat pizza for lunch
every day next week?

A. 7/10 = 70%
B. 4/10 = 40%
C. 5/10 = 50%
D. 0/10 = 0%

Answers

The estimated probability that Harriet will eat pizza for lunch every day next week is 5/10 = 50%

How to determine the probability?

The simulation is represented as:

0 and 1 represents when pizza is not available2 to 9 represents when pizza is available

The above means that the simulation that represents when she eats pizza for lunch must have all its digits to be from 2 to 9.

The results that represent eating pizza for lunch are:

73676 45467 95592 82739 38448

The count of the result is 5.

Hence, the probability is 5/10 = 50%

Read more about probabiity at:

https://brainly.com/question/251701

#SPJ2

hi can you help me answer this?​

Answers

Answer:

C.112

Step-by-step explanation:

i can confirm that the answer for this is indeed C

What type of polynomial is this and what is its degree?
5b3 - 3 + 6b

Answers

Answer:

3rd degree trinomial

Step-by-step explanation:

the highest power is 3 and there are 3 terms so its a 3rd degree trinomial

Write an equation for each line?

Answers

I will need a pic or something to answer ur questions dear :)
picture please so i can see
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