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
Minchanka [31]
4 years ago
7

When given two data points, how would you use this information to create a linear equation? How would you create a linear equati

on if you were given an initial value and a rate of change? Use examples of your own to explain the process.
Mathematics
1 answer:
marta [7]4 years ago
7 0

Given two (different) points, there is only one line passing through them. So, the linear equation modelling your dataset would be the line passing through the two data points.

In order to find the line, you can use the following equaiton: given two points A = (A_x, A_y)\ ,B=(B_x,B_y), the line passing through them is given by

\dfrac{y-A_y}{B_y-A_y} = \dfrac{x-A_x}{B_x-A_x}

For example, given the points A = (1,1) and B = (5,7), you have

\dfrac{y-1}{7-1} = \dfrac{x-1}{5-1} \iff \dfrac{y-1}{6} = \dfrac{x-1}{4} \iff 4(y-1) = 6(x-1)

Now, if you want, you can rearrange this in the form

4y-4 = 6x-6 \iff 4y = 6x-2 \iff y = \dfrac{3x}{2} - \dfrac{1}{2}

You might be interested in
3^4x-5 = (1/27)^2x+10
Shtirlitz [24]

Answer:

x = 10935/59048 = 0.185

Step-by-step explanation:

27 = 3^3

(27)^2 = (33)^2 = 36

3 0
3 years ago
What is the discriminant of the quadratic equation 4x^2-7x-6=04x 2 −7x−6=0?
Wittaler [7]

Answer:

  145

Step-by-step explanation:

The discriminant of quadratic ...

  ax^2 +bx +c = 0

is ...

  d = b^2 -4ac

For your quadratic, you have a=4, b=-7, c=-6, so the discriminant is ...

  d = (-7)^2 -4(4)(-6) = 49 +96 = 145

The discriminant is 145.

7 0
4 years ago
Solve the system by adding or subtracting.
Vikki [24]
Is that one equation ??
8 0
3 years ago
What is the measure of x?<br> a.144°<br> b.18°<br> c.72°<br> d.36°
otez555 [7]
The question is not completed
there is some numbers mising

7 0
3 years ago
Look at the following function: x y −3 −8 −2 −6 −1 −4 0 0 Matt said that the function is linear. Justine said that the function
IRISSAK [1]
Notice that for the first 3 point as x increases by 1 , y increases by 2 but for the last that is not true there is an increase of 1 in x but there is an increase of 4 in y. S<span>o the function is not linear so its either c or d - which one do you think it is?</span>
4 0
3 years ago
Read 2 more answers
Other questions:
  • What is the value of x?
    9·1 answer
  • If a summary dives 370 ft./s what is the average rate he diver
    11·1 answer
  • .<br> What is the probability of rolling 15 with a pair of<br> dice?
    13·1 answer
  • What are the 2 numbers when 30 is the product and -11 is the sum
    15·1 answer
  • Please help me on this two questions please help me before tomorrow
    5·1 answer
  • Which correctly identifies
    7·2 answers
  • A rectangle has a base equal to 10 and height equal to 4 ft what is the perimeter
    10·2 answers
  • A right cylinder has a base area of 169π cm2. Its height is half the radius. Identify the lateral area and the surface area of t
    11·1 answer
  • Please HELP!!! I will give 23 points!! Answer the following questions. Please answer correctly!!! Thanks!
    8·1 answer
  • A shirt costs $5 less than a sweater. Together they cost
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!