Which of the following is an equation of the line through (3, -1) and (−2, 14)?

A) y = 1/3x - 2

B) y = -1/3x

C) y = 3x - 10

D) y = -3x + 8

Answers

Answer 1
D.Y2-Y1=M(X2-X1)
14-(-1)=M(-2-3)
15=M(-5)
15/-5=M
-3=M
If the slope is -3, the answer is D
Answer 2

the required equation of the line is y = -3x + 8. option D is correct.  

Given that,

To determine an equation of the line through (3, -1) and (−2, 14).

What is the slope of the line?

The slope of the line is a tangent angle made by line with horizontal. i.e. m = tanx, where x is in degrees.

What is simplification?

The process in computation to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,

Slopes of the line can be given as,

m = [y₂ - y₁ ] / [x₂ - x₁]

for points, (3, -1) and (−2, 14)

m = 14 + 1 / -2 - 3

m = -15 / 5

m = -3

So, equation D contains the slope -3.

Thus, the required equation of the line is y = -3x + 8. option D is correct.  

Learn more about slopes here:

brainly.com/question/3605446

#SPJ2


Related Questions

Jamal has 30 ounces of a 20% saline solution. This means 20% of the solution is salt. He combines this solution with 25 ounces of a
30% saline solution
What is the total amount, in ounces, of salt in the combined moxture?

Answers

Answer:

13.5 ounces

Step-by-step explanation:

Isn’t it 55 ounces? Correct me if I’m wrong

Amira bought 3.34 lbs. of grapes at $0.67 per pound. How much money did she spend?

Answers

Answer:

$2.24

Step-by-step explanation:

you multiply 3.34 and 0.67 then you round

0.67 x 3 = 2.01
0.67 x 0.34 = 0.2278 —> rounded to 0.23
2.01 + 0.23 = 2.24
she spent $2.24

I really need help with this:)

Answers

Answer:

I think it is b because dimension are measurable extent

Answer:

B

Step-by-step explanation:

The answer is B, because the second scale is half that of the first, so if you half the length and width you get 4.5 and 2.5

1. A 25% discount on a skateboard is $24.75. What is the cost before the discount?
2.At a music store, Rita got a $12 discount on an item originally priced at $48. What percent discount did she get?
3.Masako had a $25-off coupon on a purchase of $100 or more at a department store. She bought a jacket for a price of $125. What is the percent discount on her purchase?
Background info for 4: Masako’s sister Kazuko also had a $25-off coupon. She bought a rain jacket for $110 at the same store.
4.Which sister got the greater percent discount?
Background for 5 and 6: Aladar used a 20%-discount coupon to buy a new smartphone priced at $95. When he got to the telecom store, he learned that they were having a 30%-off sale. The clerk calculated the 30% discount first and then applied the 20%-off coupon to the discounted amount.
5.What should be the final price (without sales tax)?
6.If there was an 8% sales tax what would the new final price?

Answers

1.   x-x*0.25=24.75

x=33

2.   48+12=60

12/60=1/5

20 percent discount

3.  25/125=1/5

20 percent discount

4.

Both got same discount

Giving brainliest! This is very urgent :))

Answers

Answer:

3/4 and 6/8

Step-by-step explanation:

The ruler is split into 8 parts, and this point is 6/8 of the ruler, if you simplify that fraction you get 3/4.

Answer:

3/4 and 12/16

Step-by-step explanation:

If you see there are 8 ticks. So it will go 1/8 to 8/8 or 1. Then you see the arrow is at 6/8. So you divide both by 2 to get 3/4 and multiply by 2 to get 12/16.

EXPERT HELP I'LL GIVE BRAINLIEST: EXPLAIN THE ANSWER

Answers

Answer:

D: A prediction based on data is reliable, because the means of the samples are close together.

Step-by-step explanation:

I got it right:)

Find the surface area of the following triangular prism.



surface area = ___ ft2

Answers

Answer:

144

Step-by-step explanation:

[tex] \frac{1}{2} \times 8 \times 6 = 24 {ft}^{2} [/tex]

[tex]8 \times 4 = 32 {ft}^{2} [/tex]

[tex]32 \times 3 = 96 {cm}^{2} [/tex]

[tex]96 +(24 \times 2) = 144 {ft}^{2} [/tex]

Answer:

336 ft2 is the correct answer.

Step-by-step explanation:

Please help, I would really appreciate it!
The figure shows a line graph and two shaded triangles that are similar:

Which statement about the slope of the line is true? (5 points)

Select one:
a. It is fraction 1 over 2 throughout the line.
b. It is 2 throughout the line.
c. The slope from point O to point A is fraction 1 over 2 time the slope of the line from point A to point B.
d. The slope from point O to point A is two times the slope of the line from point A to point B.

Answers

The correct answer for this question is A

Answer:

The correct Answer for this question is A

hope this helped. goodday.

Step-by-step explanation:

Ten Points
Look at the rectangle and the square:

A rectangle PQRS and square LMNO are drawn side by side. The length SR of the rectangle is labeled as 12 inches, and the width QR is labeled as 6 inches. The side LM of the square is labeled as 6 inches
Sam says that the length of diagonal SQ is two times the length of diagonal OM.

Is Sam correct? Justify your answer and show all your work. Your work should state the theorem you used to find the lengths of the diagonals.

Answers

Answer:

False

Step-by-step explanation:

Let's consider the triangle SQR. We know it is right-angle because part of the rectangle PQRS. We can use the Pythagorean theorem:

[tex]SQ^{2} = RQ^{2} + SR^{2} \\SQ^{2} = 36 + 144 = 180\\SQ = \sqrt{180} = 13,4[/tex]

We can do the same for the square in which ON = 6 because it's a square:

[tex]OM^{2} = MN^{2} + ON^{2} \\OM^{2} = 36 + 36 = 72\\OM = \sqrt{72} = 8.5[/tex]

Now let's compare them:

8.5 X 2 = 17 so OM X 2 is not equal to SQ

The sentence is false.

PS : Sorry for the misspelling, I'm French =)

i keep getting 479.864 and im not sure what im doing wrong

Answers

Answer:

I think it would be H.

Step-by-step explanation:

Because it says the closest and 497.76 is the closest to 479.864.

Pls Help!
What is the y-intercept?
What is the x-intercept?
What is the slope of the line?
Find an equation for this line.

Answers

Answer:

Step-by-step explanation:

The "y intercept" is the point at which the graph intercepts the y-axis.  In this case that point is (0, 20).

The "x intercept" is the point at which the graph intercepts the x-axis.  In this case that point is (5, 0).  

The slope of the line is m = rise / run.  Here the "rise" is actually a drop from y = 20 to y = 0, so "rise" = -20.  The "run" is the increase from x = 0 to x = 5, which is 5.  Thus, m = the slope = -20/5 = -4.  The slope is m = -4.

Given that we know the slope, m, of this line (m = -4) and two points on the line (use (0, 20) ), we can write the equation of the line immediately in point-slope form y - k = m(x - h), which in this particular case is

y - 20 = m(x - 0), or

y - 20 = -4x

Alternatively, we could put this into standard form:  4x + y = 20, or into

slope-intercept form:  y = -4x + 20

r/6 = 15
what is the vaue of r? include an explanation, check, and property

Answers

r=90, because 90 divided by 6= 15.
R=90

Reverse the problem. What is 15 x 6? The answer is 90. 90 divided by 6 is 15.

PLS HELP 20 POINTS AND WILL MARK BRAINLYEST IF U R CORRECT
Larue scored 10 points less than 3 times the number of points that Ross scored. Larue scored 11 points. How many points did Ross score? Show your work.

Answers

Answer:

21 Points. That is the answer.

Step-by-step explanation:

no need for an explanation:)

ross scored 21 points

.............................answer

Answers

Answer:

30

Step-by-step explanation:

If w=6, you need to multiply 5 by 6 to get 30.

the answer would be 30 good luck

can you help me plssss

Answers

Step-by-step explanation:

57° + x + 23° = 180° { being linear pair }

80° + x = 180°

x = 180° - 80°

x = 100°

Hope it will help :)❤

Answer:

4.35

Step-by-step explanation:

180-57=123

123-23=100

100 ÷ 23=4.347826

rounded to 4.35

please help i don't understand this

Answers

Answer:

x=12

a=48

b=82

c=50

Step-by-step explanation:

Hello! Can someone please help me with this?
Solve Equations for Unknown Angles

Answers

Step-by-step explanation:

For the first one for A, B, C its the explanation in the left corner

Helene spends 25% of her budget on transportation expenses. Enter this percent as a decimal and as a fraction in simplest form.


25% written as a decimal is
and written as a fraction is

Answers

decimal form is (.25)
and as a fraction it is (1/4)

HELP PLS AND EXPLAIN:
y= 4x + 7
2x + y = 7

A. one solution

B. no solution

C. infinitely many solutions

Answers

C.infinitely many solutions

Y is what times X? No explanation please. Thank you.

Answers

Answer:

0x4, 0x8

Step-by-step explanation:

Answer:

y= 1/4x

Step-by-step explanation:

A total of 76 students responded to a survey about transportation to school. Of the girls surveyed, 22 walk to school and 29 get a ride. Of the 25 boys surveyed, 9 get a ride to school. Construct a two-way frequency table to display the data. Drag the numbers into the boxes. Each number may be used once, more than once, or not at all.​

Answers

Answers:

From as I can see. You need to do a long division on 76 and 9 and then if you got the answer subtract the answer with the girls surveyed and you'll get the answer and multiply the answer with the boys surveyed and then add all the answers together. Hoped this help!!! :)

PLZ HELP I NEED IT IN 9 MIN

Answers

Answer:

d

Step-by-step explanation:

A supplier sells 2 1/4 pound of mulch for every 3/4 pounds of gravel. What is the unit rate in lbs mulch per lbs gravel?

Answers

Answer:

wow

Step-by-step explanation:

All you have to do is divide the amount of mulch by the amount of gravel. The answer is 3 pounds of mulch per 1 pound of gravel.

PLEASE HELP ASAP!!! PLEASE!!!!
The graph shows the prices of different numbers of bushels of corn at a store in the current year. The table shows the prices of different numbers of bushels of corn at the same store in the previous year.

A graph shows the Number of Bushels on the x-axis and the Price of Corn in dollars on the y-axis. The x-axis scale is shown from 0 to 14 at increments of 2, and the y-axis scale is shown from 0 to 98 at increments of 14. A straight line joins the ordered pairs 2, 14 and 4, 28 and 6, 42 and 8, 56 and 10, 70 and 12, 84.
Previous Year
Number of Bushels
Price of Corn (dollars)
2
10
4
20
6
30
8
40
Part A: Describe in words how you can find the rate of change of a bushel of corn in the current year, and find the value.
Part B: How many dollars more is the price of a bushel of corn in the current year than the price of a bushel of corn in the previous year? Show your work.

Answers

Answer:Part A:8  Part B:$1

Step-by-step explanation:

Part A: 7 dollars  

- The graph shows that 2 bushels is 14 dollars,  because the graph has a straight line, the rate remains constant you must divide the sides by two to find the amount for one bushel which would be 7 dollars.

- And to double check you would divide 28 by 4, 42 by 6, 56 by 8, 70 by 10, 84 by 11, and 98 by 12. they all equals 7 dollars So, the equation would be y = 7x.

- 7 can be known as the slope and  rate of change.

Part B:2 dollars

- The years before show 2 bushes was 10 dollars

-so you would divide 10 by two you would get five  To double check you would do the same thing with 20 by 4, 30 by 6 and 40 by 8, and they all equal 5 dollars.

-if you use this answer be sure to reword it so you dont get copy write and integrity. have a great day or night.

What are the 2 criteria a linear graph must have to be proportional?

Answers

A graph of a proportional relationship is a straight line that passes through the origin. The constant of a proportionality in a graph of a proportional relationship is the constant ratio of y to x (the slope of the line).

30 points
Which function does the graph represent?

f(x) = (x – 2)2 + 3
f(x) = –(x – 2)2 + 3
f(x) = (x + 2)2 + 3
f(x) = –(x + 2)2 + 3

Answers

Answer:

I think id be the last one

Step-by-step explanation:

The graph would represent f(x)= -(x+2)2+3 which is the last one

During a 5th grade field trip to the Museum, Ms. Jones bought 33 student tickets and one adult ticket for herself. Her ticket cost $3.00 more than a student ticket. She spent a total of $300.50.Enter, in dollars, the cost of a single student ticket

Answers

Answer: $ 9.02 I think (Might be wrong)

I believe it is 9.01

Im almost done but I need help :)

Answers

Answer:





Explanation: D:
It’s D because if he do

i need help asap 1/2k=20

Answers

Answer:

K=40

Step-by-step explanation:

40 divided by 2 is 20.

Answer:k=40

Step-by-step explanation:

Let's solve your equation step-by-step.

1

2

k=20

Step 1: Multiply both sides by 2.

2*(

1

2

k)=(2)*(20)

k=40

A candy bar costs $0.79
Find the price of the candy bar if it is sold with a 65% mark up
A. $1.58
B. $1.44
C. $1.30
D. $1.17

Answers

Answer:

C. $1.30

Step-by-step explanation:

Multiply 0.79 and 0.65 (65%) which is about 0.51.

Add that to 0.79.

Answer:

$ 1.30

Step-by-step explanation:

Increased price =  65% of $0.79

                          [tex]\frac{65}{100}*0.79[/tex]

                         = 0.65 * 0.79

                        = 0.5135

                         = $ 0.51

Selling price  = 0.79 + 0.51 = $ 1. 30

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