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
xz_007 [3.2K]
2 years ago
13

What is an equation of the line that passes through the points (-6, 2) and (-4,-1)?

Mathematics
1 answer:
OLEGan [10]2 years ago
8 0
<h2>Answer:  y - 2 = -³/₂ (x + 6)</h2>

Step-by-step explanation:

The slope of this line = (y₂ - y₁) ÷ (x₂ - x₁)

                                   =  (2 - (- 1 )) ÷  (-6 - (-4))

                                   =  3 ÷ (-2)

                                   =  - ³/₂

The equation of the line can be determined using the point-slope form:

y - y₁ = m(x - x₁)

⇒ y - 2 = -³/₂(x - (-6))

   y - 2 = -³/₂ (x + 6)

You might be interested in
A genetics experiment involves a population of fruit flies consisting of 1 male named Bart and 3 females named Charlene, Diana,
kenny6666 [7]

Answer:

(b) \frac{1}{2}

Step-by-step explanation:

1 male named Bart (b)

3 females named Charlene(c), Diana(d), and Erin(e).

Since there is replacement, the possible samples are:

bb, bc, be, bd, cb, cc, cd, ce, db, dc, dd, de, eb, ec, ed, and ee.

Total Number of pairs = 16

Event of picking 2 males:bb

Event of 1 male:bc,cb,bd,db,be,eb

Event of picking 0 males:

cc, cd, ce, dc, dd, de, ec, ed, and ee.

\begin{equation*} \begin{matrix}Proportion of males & Probability \\0 & 9/16 \\1 & 6/16 \\2 & 1/16 \end{matrix} \end{equation*}

b. The mean of the sampling distribution

\mu = (\frac{9}{16} X0 ) +(\frac{6}{16} X 1)+(\frac{1}{16} X 2) = \frac{8}{16} = \frac{1}{2}

c.  No; the proportion of males is \frac{1}{4} while the mean is \frac{1}{2}.

B. No, the sample mean is not equal to the population proportion of males. These values are not always equal, because proportion is an unbiased estimator.

7 0
2 years ago
Solve by substitution. Show each step of your work.<br><br> 2x + y = 7<br><br> 3x + 5y = 14
Monica [59]
Alright...simple...showing all steps.. ;)

You have the equations...

2x+y=7
and
3x+5y=14

To be able to even solve for any of the variables...multiply the equations by...2...and..3...

2x+y=7----*3--> 6x+3y=21
and
3x+5y=14-----*2--->6x+10y=28

Thus,

6x+3y=21
-
6x+10y=28

=========

-7y=-7

y=1

Now, plug y back into any of the original equations....we'll use 2x+y=7 in this case....

2x+(1)=7

2x+1=7
      -1  -1

2x=6

x=3

Thus, the point of intersection for these two equations is (3,1)
8 0
3 years ago
A set of silverware contains 30 pieces. The set contains only spoons, forks, and knives. It contains the same number of spoons a
Tema [17]
Let the number of knife be x.
Knife = x
Spoon = 2x
forks = 2x

Total = 30
x + 2x + 2x = 30
5x = 30 
x = 6

Knife = x = 6
forks = 2x = 12
Spoon = 2x = 12

Answer: There are 12 forks.

5 0
3 years ago
Read 2 more answers
The moon has a surface area of approximately 14,650,000 m^2. Estimate its radius to the nearest mile
Elza [17]

\bf \textit{surface area of a sphere}\\\\ SA=4\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ A=14650000 \end{cases}\implies 14650000=4\pi r^2 \\\\\\ \cfrac{14650000}{4\pi }=r^2\implies \cfrac{3662500}{\pi }=r^2\implies \sqrt{\cfrac{3662500}{\pi }}=r\implies 1079.73\approx r

7 0
3 years ago
Help this question has time please its myfinal exam
Zarrin [17]

Answer:

(x,y) = (-0.5,0.5)

Step-by-step explanation:

Given

See attachment

Required

The solution

The solution is at the point where the two lines meet.

The lines meet at:

x = -0.5 and y = 0.5

So, the solution is:

(x,y) = (-0.5,0.5)

4 0
2 years ago
Other questions:
  • Find The firts derivate y=(2x^+5)(4x-1)
    9·1 answer
  • The rate for one unit of a given quantity is called a(n)
    7·1 answer
  • Circle the statement that are tru as you solve
    10·1 answer
  • What is the discrimination 3x2-10x=-2
    5·2 answers
  • A botanist has developed a new hybrid cotton plant that can withstand insects better than other cotton plants. However, there is
    12·1 answer
  • When two six-sided dice are rolled, there are 36 possible outcomes. a. Find the probability that the sum is not 4. Express your
    9·1 answer
  • Ramiro earns $20 per hour during the week and $30 per hour for overtime on the weekends. One week Ramiro earned a total of $650.
    6·1 answer
  • The sector COB is cut from the circle with center O. The ratio of the area of the sector removed from the whole circle to the ar
    9·1 answer
  • A rectangular prism has a base area of 400 square inches. The volume of the prism is 2,400 cubic inches. What is the height of t
    7·1 answer
  • Two mechanics worked on a car. The first mechanic charged $105 per hour, and the second mechanic charged $85 per hour. The mecha
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!