How do I write a slope intercept form of an equation of a line through given points ?

Answers

Answer 1
Answer: you find the slope of the equation using y2-y1/x2-x1 and then you find the y intercept which is the point that crosses the y axis. Then you put that information into the slope intercept equation (y=mx+b   m=slope b=y intercept)


at least i think thats what you are asking

Answer 2
Answer: First you need the slope, which is easily attainable by the change of x over the change of y

ex. with coordinates (x,y)(X,Y)

m=slope
m=( rise)/(run)
   =(  change x)/( change of y)
   = (X-x)/(Y-y)

Then you will have every thing except the y intercept
 (represented by b)

Using the slope-intercept form 
and x and y being represented by the x, y values of a co-ordinate

y=mx+b
We can derive b

b= y-mx

Then when we have both m and b
Insert them into the form

ex. if m=-4, b=6

y=-4x+6

Taa daa!
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The pressure, P, of a gas varies inversely with its volume, V. Pressure is measured in units of Pa. Suppose that a particular amount of a gas is initially at a pressure of 104 Pa at a volume of 108 L. If the volume is expanded to 432 L, what will the new pressure be?26 Pa 27 Pa 416 Pa 1728 Pa

Find all the powers of 4 in the range 4 through 1,000.

Answers

4^1 = 4
4^2 = 16
4^3 = 64
4^4 = 256

How many roots does the function have?f(x)= x^6 + 2x^5 - 2x^4 + 3x^3 + 4x^2 - 5x +7


A. 21

B. 2

C. 6

D. 7

Answers

Answer:

  C.  6

Step-by-step explanation:

The degree of the polynomial function is 6. The "fundamental theorem of algebra" tells you the number of roots is equal to the degree of the polynomial.

f(x) has 6 roots.

Solve the following equations graphically. Verify the solution sets using the original equations.a. |x| = x2

Answers

Answer: x = 0 or x = 1

Step-by-step explanation:

The graphic solution is attached.

Verifying the solution

|x| = x²

x = -x²                                 or   x = x²

x does not exist                       x = 1 or x = 0

because x² is always +

Consider the following system of equations: y = 5x + 6
y = −x − 7

Which description best describes the solution to the system of equations?

Line y = 5x + 6 intersects line y = −x − 7.
Lines y = 5x + 6 and y = −x − 7 intersect the x-axis.
Lines y = 5x + 6 and y = −x − 7 intersect the y-axis.
Line y = 5x + 6 intersects the origin.

Answers

it says
which best describes the SOLUTION to the system of equations
the solution is the set of points that satisfies both equations, it is also the intersection

therfor the answer is the first option "Line y = 5x + 6 intersects line y = −x − 7."

Answer:

Line y = 5x + 6 intersects line y = −x − 7.

Step-by-step explanation:

Both Lines intersect both the x and the y axis.
y = 5x + 6

y = −x − 7
Hope this Helps! :)))

Use the temperature box-and-whisker plot to solve. What is the range of each of the four quarters of data?





A.


first quarter: 2
second quarter:10
third quarter: 15
fourth quarter: 18


B.


first quarter: 2
second quarter: 8
third quarter: 5
fourth quarter: 3


C.


first quarter: 3
second quarter: 8
third quarter: 5
fourth quarter: 2


D.


first quarter: 3
second quarter: 8
third quarter: 16
fourth quarter: 18

Answers


the answer is B

because it is 2 degrees increase from 12 to 14, then from 14 to 22 is 8 degrees, then 5 more until 27, and so on.

How do I construct a sample data set for which n=7, x=9(x bar), and s=0?

Answers

When the standard deviation = 0, there is no deviation at all. So the numbers are all the same. And there are seven of them. And the average is nine. 
So the sample data set would just be seven 9s. 

Final answer:

To create a sample data set with n=7, a mean of 9, and a standard deviation of 0, all seven data points must be identical to the mean, resulting in the data set {9, 9, 9, 9, 9, 9, 9}.

Explanation:

To construct a sample data set with n=7, where \(\overline{x}=9\) (x bar is the sample mean), and s=0 (s is the sample standard deviation), follow these steps:

  1. Understand that if the standard deviation s is zero, all data points in the sample must be identical.
  2. Since the sample mean \(\overline{x}\) is given as 9, all seven data points in the sample must also be 9 to achieve a standard deviation of 0.
  3. Thus, the sample data set will simply be {9, 9, 9, 9, 9, 9, 9}.

Remember that the sample mean is calculated as the sum of all data values divided by the number of values (n), and the sample standard deviation measures the amount of variation or dispersion of a set of values. A standard deviation of zero indicates that all values are identical to the mean.