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
IgorC [24]
2 years ago
8

What is the equation of the line? Use y = mx+b

Mathematics
2 answers:
Olegator [25]2 years ago
8 0

Answer:

y = - \frac{1}{2} x + 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (2, 3) and (x₂, y₂ ) = (4, 2) ← 2 points on the line

m = \frac{2-3}{4-2} = - \frac{1}{2}

Note the line crosses the y- axis at (0, 4) ⇒ c = 4

y = - \frac{1}{2} x + 4 ← equation of line

rjkz [21]2 years ago
7 0

\text{Hello there!}\\\\\text{Find the slope of the line:}}\\\\\text{We are using the y= mx + b equation to answer the question}\\\\\text{We know that b is the "beginning point", or point on the y axis}\\\\\text{Therefore, our b variable would be 4}\\\\\text{You can use slope formula to find the slope of the line}\\\\\text{A quicker was is to look at the line and use the rise over run technique}\\\\\text{We see that the slope is negative, so it would be a negative}\\\\

\text{Go down once and go to the right twice}\\\\\text{This makes your slope -1/2}\\\\\boxed{\text{Answer: -1/2 + 4}}

You might be interested in
Researchers are interested if a school breakfast program leads to taller children. Assume that the population of all 5 year-old
DedPeter [7]

Answer:

39-1.96\frac{1}{\sqrt{25}}=38.608    

39+1.96\frac{1}{\sqrt{25}}=39.392    

So on this case the 95% confidence interval would be given by (38.608;39.392)    

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X=39 represent the sample mean for the sample  

\mu population mean (variable of interest)

\sigma=1 represent the population standard deviation

n=25 represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

The margin of error is given by:

ME= z_{\alpha/2}\frac{\sigma}{\sqrt{n}}

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a tabel to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that z_{\alpha/2}=1.96

And replacing we got:

ME= 1.96 *\frac{1}{\sqrt{25}}= 0.392

Now we have everything in order to replace into formula (1):

39-1.96\frac{1}{\sqrt{25}}=38.608    

39+1.96\frac{1}{\sqrt{25}}=39.392    

So on this case the 95% confidence interval would be given by (38.608;39.392)    

7 0
2 years ago
State the domain of the function.
boyakko [2]
Hi there! The domain of a function refers to the values that can be validly input for x. In laymen's terms, domain is the x-values that exist on a graph of the equation.

If we were to plug in y=-2x+5 into a calculator that shows an infinite graph, we would see that the line of the equation would extend both ways infinitely! This means that all real numbers can be inputs for x, because for every x value that exists there is a corresponding y value.

This means that D. All real numbers, is your answer.

Hope it helps! :)
6 0
3 years ago
What place value was the number rounded<br> .546 to .55
tatyana61 [14]
The hundredths place value was rounded.
5 0
3 years ago
Got up on my birkin it's working she said __________ is working
Bess [88]
She a virgin!!!

Best song bro
7 0
2 years ago
What is the volume of the composite figure? round to the nearest hundredth
Mariana [72]

Answer:

Composite figures are composed of several geometric shapes and are three-dimensional shapes. To find the volume of the entire shape you find the volume of each individual shape and add them together. The second figure consists of a cylinder and a hemisphere

5 0
2 years ago
Other questions:
  • Translate the sentence: “Twice x is 5” to an equation.
    8·1 answer
  • Does 5(20-8)=17 the problem says which statement is true
    15·2 answers
  • Find the radius and the circumference if the diameter is 11.5 ft.
    9·1 answer
  • If 8x=-4(x+3) then x equals
    15·1 answer
  • Solve the equation.<br> 3y + 11 = -16
    12·2 answers
  • Can someone please help me with math.
    6·2 answers
  • 1.The area of a square is 49in^2=.What is the perimeter of the square<br><br>​
    14·1 answer
  • Which of the numbers below is less than −72? Select all that apply.
    12·1 answer
  • If an object travels at 15 feet per minute, how many feet does it travel in 1.5 seconds
    11·2 answers
  • Question 5 (Solving Problema) lon 5 Solving Problems] Write 24 18 in slmplest form​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!