1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
pickupchik [31]
2 years ago
8

What is the equation of the line connecting (1,5) and (4,14)?

Mathematics
1 answer:
german2 years ago
3 0
To find the slope of the line:
(y2-y1)/(x2-x1)
(14-5)/(4-1)=(9)/(3)=3

Only one of your 4 possible answers has 3 as a slope. However, plugging in each point into the y=mx+b equation, the y-intercept consistently comes out as 2..
y=mx+b
14=3(4)+b  b=2
5=3(1)+b    b=2
y=3x+2
If there is a consistent, positive slope (from your question, this does not seem to have a quadratic as an option), 3x+5 is not even a viable solution because x=1 when the y-value is 5 (and thus no other x value {0} could have a y-value of 5). It seems as though you have a typo on your hands. Hopefully this helps?
You might be interested in
Temperature in degrees Fahrenheit is equal to 32 more than 9/5 times the temperature in degrees Celsius . One day the high tempe
bazaltina [42]

The high temperature is 35 degree celsius

<em><u>Solution:</u></em>

Given that, Temperature in degrees Fahrenheit is equal to 32 more than 9/5 times the temperature in degrees Celsius

Let "f" be the temperature in degree Fahrenheit

Let "c" be the temperature in degree celsius

Therefore,

Temperature in degrees Fahrenheit = 32 + \frac{9}{5} times the temperature in degrees Celsius

f = 32 + \frac{9}{5} \times c

One day the high temperature in Edison. Nj was 95 degrees Fahrenheit

f = 95 ; c = ?

Substitute f = 95 in above equation

95 = 32 + \frac{9c}{5}\\\\95=\frac{32 \times 5 +9c}{5}\\\\95 \times 5 = 160+9c\\\\475 = 160 + 9c\\\\9c = 475 - 160\\\\9c = 315\\\\c = 35

Thus high temperature in degrees Celsius is 35 degree celsius

5 0
2 years ago
Y&lt;=x-5, and y&lt;=-x-4 would be points (1,10)? or<br> (-1,10)<br> (10,1)<br> 1,-10)
weeeeeb [17]
It would be (1,-10) <===
4 0
3 years ago
A city bus collected $780 in fares on one day.
Brilliant_brown [7]

Answer:

450 people paid the discounted fare and 750 people paid the regular fare.

Step-by-step explanation:

let r be regular fares paid and d be discounted fares paid

Total fares = 0.8r + 0.4d = 780

Since 1200 people paid the fares,

r + d = 1200 = Total people

Rearrange this formula:

r = 1200 - d

Substitute r into Total Fares formula

Total fares = 0.8r + 0.4d

780 = 0.8(1200-d) + 0.4d

780 = 960 - 0.8d + 0.4d

780 = 960 - 0.4d

0.4d = 180

d = 450

Sub d=450 into Total people formula

r + d = 1200 = Total people

r + 450 = 1200

r = 1200-450

r = 750

450 people paid the discounted fare and 750 people paid the regular fare.

3 0
3 years ago
Read 2 more answers
What is the inverse of the function f(x) = 2x + 1?|
padilas [110]

Answer:

1st option

Step-by-step explanation:

let y = f(x) and rearrange making x the subject

y = 2x + 1 ( subtract 1 from both sides )

y - 1 = 2x ( divide both sides by 2 )

\frac{y-1}{2} = x

Change y back into terms of x with x being the inverse h(x)

h(x) = \frac{x-1}{2} = \frac{1}{2} x - \frac{1}{2}

6 0
2 years ago
Members of a high school club sold hamburgers at a baseball game to raise money. They sold 278 hamburgers. If the buns come in p
Mariulka [41]
The answer, at least what I got, is 17.375 . They'd have to open an eighteenth package because the extra .375 is not in the original package, so I would go with B . 
5 0
3 years ago
Read 2 more answers
Other questions:
  • Determine whether or not the function r(x) =x^2-2 is one -to-one
    9·1 answer
  • How many solutions does the following equation have? 12z- 6 + 15z = 27z- 5
    7·2 answers
  • Angeline made a dish with 5 1/3 cups of pasta. One serving is 0.2 cups. How many servings of pasta were in the dish Angeline mad
    8·1 answer
  • Angie and Kelly are playing a card game. Angie has 37 points. She has 5 points less than Kelly. How many points does Kelly have?
    9·2 answers
  • A taxi charges $1.75 plus a fee of $0.75 for each mile traveled. The total cost of a ride, without a tip, is $4.75. How many mil
    10·1 answer
  • A teacher graded s 27 tests in 3 hours. Do these quantities(number of tests graded in time) vary directly or inversely? Explain.
    8·1 answer
  • Your throw your ball into a air from height of 4.2
    14·1 answer
  • WHY DID THE STUDENT DISLIKE THE AVERAGE TEACHER?
    14·2 answers
  • The length of a square is 3x - 4 units. Find the area in terms of x.
    12·2 answers
  • 2.) FIND EF.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!