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
guapka [62]
3 years ago
11

How would I figure out a linear equation with two plot points with fractions? (1/3(6),3) and (1/2(19),-2) are my two plot points

. I was able to graph them on Desmos, but I can't seem to figure out how I would go about figuring out the slope and y-intercept in this case... the fractions are what's throwing me off here. Please help!
Mathematics
1 answer:
murzikaleks [220]3 years ago
3 0

Answer: m=\frac{-30}{79},\ y=5.40

Step-by-step explanation:

Given

Points are \left(6\frac{1}{3},3\right),\ \left(19\frac{1}{2},-2\right)

Convert mixed numeral to fraction

\left(6\frac{1}{3},3\right)\Rightarrow \left(\dfrac{19}{3},3\right)\\\\\left(19\frac{1}{2},-2\right)\Rightarrow \left(\dfrac{39}{2},-2\right)

Slope of the line is

\Rightarrow m=\dfrac{3-(-2)}{\dfrac{19}{3}-\dfrac{39}{2}}\\\\\Rightarrow m=\dfrac{5}{\dfrac{38-117}{6}}\\\\\Rightarrow m=\dfrac{-30}{79}

Equation of line

\Rightarrow \dfrac{y-3}{x-\dfrac{19}{3}}=\dfrac{-30}{79}\\\\\text{for y-intercept, put x=0}\\\\\Rightarrow \dfrac{y-3}{0-\dfrac{19}{3}}=\dfrac{-30}{79}\\\\\Rightarrow y-3=\dfrac{190}{79}\\\\\Rightarrow y=3+2.40\\\Rightarrow y=5.40

You might be interested in
A statistics practitioner in a large university is investigating the factors that affect salary of professors. He wondered if ev
uysha [10]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The null hypothesis is  H_o :  \beta_1 = 0

 The alternative hypothesis is  H_1 :  \beta_1 \ne 1

Step-by-step explanation:

From the question we are told that

        The number observations is  n =  100

         The  annual salary (in dollars) is  y

          The  mean score on teaching evaluation is  x

          The the relationship between the y and  x is

                y =  \beta_0  +  \beta _1 x + \epsilon

Where  \beta _1 is the mean of the equation so

  The null hypothesis is  H_o :  \beta_1 = 0

   The alternative hypothesis is  H_1 :  \beta_1 \ne 1

         

6 0
2 years ago
Can someone help? I hate math so much lol I don’t understand
marishachu [46]

Answer:

±6

Step-by-step explanation:

Given the mathematical expression;

√36 < √42 < √49

But, √36 = 6 * 6 = 6²

√49 = 7 * 7 = 7²

Simplifying further, we would substitute the new values respectively;

±[6] < √42 < ±[7]

Therefore, evaluating √36 is equal to ±6.

8 0
3 years ago
The ordered pair (0,0)(1,4)(2,16)(3,36)(4,64). write a rule that represents the function.
gayaneshka [121]
Let x represent first number in pair and y represent second number. We can see that x numbers are increasing by 1 on each next pair. y numbers are square of 0,2,4,6 and 8

Knowing all of that let "n" represent the position of the pair starting from 0!

than we can write that the rule is:
(n,(2n)^2)
7 0
3 years ago
2617 to the nearest thousand
Sliva [168]

Answer:

3000

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The sum of two numbers is 63. The larger number is 23 more than the smaller number. What are the numbers?
Sunny_sXe [5.5K]

x+y=63

x=y+23

y+23+y =63

2y +23 = 63

2y =40

y=40/2 =20

y = 20

x = 20+23=43

the numbers are 20 & 43

5 0
3 years ago
Read 2 more answers
Other questions:
  • Arleen has a gift card for a local lawn and garden store. She uses the gift card to rent a tiller for 4 days. It cost $35 per da
    8·2 answers
  • The function h(x)= x^2+3 and g(x)= x^2-6. If g(x) = h(x) +k, what is the value of k
    14·2 answers
  • If f(x) = 5^x2 - 3 and g(x) = x2 - 4x - 8, find (f - g)(x).
    10·1 answer
  • Find an explicit formula for the arithmetic sequence 81,54, 27,0
    9·1 answer
  • 2 4.2.5 Quiz: Solving Multi-Step Problems with Rational Numbers
    11·1 answer
  • Please help!!!! solve for x showing EACH STEP<br> please!!
    9·2 answers
  • HELP PLEASE!!! <br><br> WILL MARK BRAINLIST IF YOU HAVE AN EXPLANATION!!
    14·2 answers
  • Help please. Geometry.
    5·2 answers
  • Amata mixes 2 parts black paint with 3 parts white paint to make 90 mL of gray paint. How much white paint does Amata use to mak
    8·1 answer
  • Enter the missing numbers in the boxes to complete the table of equivalent ratios of time to distance.​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!