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
quester [9]
3 years ago
15

Write in slope-intercept form an equation of the line that passes through the given points. (2,4),(5,13)

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
7 0

Answer:

y = 3x-2

Step-by-step explanation:

We can find the slope using the equation for slope

m = (y2-y1)/(x2-x1)

    = (13-4)/(5-2)

    = 9/3

     = 3

We know the slope and a point, so we can use point slope form to make an equation

y-y1 = m(x-x1)

y-4 = 3(x-2)

Distribute

y-4 = 3x-6

Add 4 to each side

y-4+4 = 3x-6+4

y = 3x-2

This is in slope intercept form (y= mx+b)

You might be interested in
Please help me!
ruslelena [56]
I agree with you because theta could be acute or obtuse, and if obtuse, negative value.
3 0
3 years ago
How to combine like terms
aev [14]

Example: 1x+2y+3z+4a+5x+6y+7z+8+9

We can see that there is more than one number with the variable x, therefore, we say they're ''like terms'' and because of that they can be summed. We do this with all of the other numbers with similar variables. If no numbers with similar variables are left, like 4a, you don't do anything but write them as they are. You can also see that 8 and 9 can also be summed because neither of them has a variable, therefore they're similar.

In this step, you just do the operation with the numbers and keep the same variable.

(1x+5x)+(2y+6y)+(3z+7z)+4a+(8+9)

(6x)+(8y)+(10z)+4a+(17)

since there are not more numbers similar in variables, this operation is done.

6x+8y+10z+4a+17

8 0
3 years ago
How to show that a function is surjective?
photoshop1234 [79]
Algebra formula based function
6 0
3 years ago
Given that a 90% confidence interval for the mean height of all adult males in Idaho measured in inches was [62.532, 76.478]. Us
grigory [225]

Answer:

The confidence interval on this case is given by:

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

For this case the confidence interval is given by (62.532, 76.478)[/tex]

And we can calculate the mean with this:

\bar X = \frac{62.532+76.478}{2}= 69.505

So then the mean for this case is 69.505

Step-by-step explanation:

Previous concepts

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".  

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".

\bar X represent the sample mean  

\mu population mean (variable of interest)  

\sigma represent the population standard deviation  

n represent the sample size  

Assuming the X follows a normal distribution  

X \sim N(\mu, \sigma)

The confidence interval on this case is given by:

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

For this case the confidence interval is given by (62.532, 76.478)[/tex]

And we can calculate the mean with this:

\bar X = \frac{62.532+76.478}{2}= 69.505

So then the mean for this case is 69.505

5 0
3 years ago
!!!!Please help!!! I am dying!!
stellarik [79]

Answer:

Therefore (x,y)=(3,7)

Step-by-step explanation:

put the second equation into the first

x+4=3x-2

x-3x=-2-4

-2x=-6

x=3

plug x=3 into the second equation

y=3+4=7

6 0
1 year ago
Other questions:
  • Ms. Taylor works for the National Weather Service. Which of the following is a statistical question that Ms. Taylor can be asked
    14·2 answers
  • solve the system osolve the system of equations equations 2x + 3 y equals 40 and -2 x + 2 y equals 20
    11·1 answer
  • Which formula gives the x-coordinates of the maximum values for y = cos(x)?
    5·1 answer
  • A delivery service charges $2.50 for the first pound and $0.75 for each additional pound . If Carl paid $7.75 for his package, h
    15·1 answer
  • What is the unit rate
    10·1 answer
  • What do you think the answer is, please hurry.
    15·1 answer
  • Choose the expression that is equivalent to both −x/y and x/−y.​
    13·1 answer
  • How many times bigger is a group of 18 coins than a group of 3 coins?
    10·2 answers
  • Estimate 8 / 738.4 .
    14·1 answer
  • Find the constant of proportionality
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!