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
julia-pushkina [17]
3 years ago
12

What is the slope-intercept form of a line that passes through points (2, 11) and (4, 17)?

Mathematics
2 answers:
butalik [34]3 years ago
5 0

Answer:

y = 3x + 5

Step-by-step explanation:

First, find the <em>rate of</em><em> </em><em>change</em><em> </em>[<em>slope</em>]:

-y₁ + y₂\-x₁ + x₂ = m

\frac{-11 + 17}{-2 + 4} = \frac{6}{2} = 3

Now, plug the coordinates into the Slope-Intercept Formula instead of the <em>Point-Slope</em><em> </em><em>Formula</em><em> </em>because you get it done much swiftly. It does not matter which ordered pair you choose:

17 = 3[4] + b

12

5 = b

y = 3x + 5

__________________________________________________________

11 = 3[2] + b

6

5 = b

y = 3x + 5

You see? I told you it did not matter which ordered pair you choose because you will always get the exact same result.

I am joyous to assist you anytime.

navik [9.2K]3 years ago
4 0

\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{11})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{17}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{17-11}{4-2}\implies \cfrac{6}{2}\implies 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-11=3(x-2)\implies y-11=3x-6

\bf y=3x+5\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}

You might be interested in
Are the functions f,g, and h given below linearly independent?
CaHeK987 [17]

Answer:

Linearly independent, x = 0

Step-by-step explanation:

- We are given three functions as follows:

                           f ( x ) = e^4^x\\\\g ( x ) = xe^4^x\\\\h( x ) = x^2e^4^x

- We are to determine the linear - independence of the given functions. We will use the theorem of linear independence which states that:

                           c_1*f(x) + c_2*g(x) + c_3*h(x) = 0

Where,

                       c1 , c2 , c3 are all zeroes then for all values of (x),

- The system of function is said to be linearly independent

- We will express are system of equations as such:

                           c_1*e^4^x + c_2*xe^4^x + c_3*x^2e^4^x = 0\\\\

- To express our system of linear equations we will choose three arbitrary  values of ( x ). We will choose, x = 0. then we have:

                          c_1*( 1 ) + c_2*(0) + c_3*(0 ) = 0\\\\c_1 = 0

- Next choose x = 1:

                          c_2*e^4 + c_3*e^4 = 0\\\\c_2 + c_3 = 0

- Next choose x = 2:

                          2*c_2*e^8 + 4*c_3*e^8 = 0\\\\c_2 + 2c_3 = 0

- Solve the last two equations simultaneously we have:

                          c_1 = c_2 = c_3 = 0     .... ( Only trivial solution exist )

Answer: The functions are linearly independent

- The only zero exist is x = 0.

5 0
3 years ago
Which inequality doesn't belong?<br> 5/4≤2 8.5≥0.95 8.5≤7 10.00≤100
NNADVOKAT [17]

Answer:

8.5 < 7

Step-by-step explanation:

8.5 is less than 7.

doesn't verify mathematically.

6 0
2 years ago
HELP ME PLS I NEED TO FIGURE OUT 8/15 TIMES -3/10!!!!! PLS TELL ME
Galina-37 [17]
The answer is .1599 just cross cancel to find answer.
7 0
3 years ago
Read 2 more answers
Can anyone please help me graph this and tell me if the equation is correct thank you
photoshop1234 [79]

Answer:

yes it is

Step-by-step explanation:

5 0
3 years ago
In the number 7,777.777, how does the 7 in the hundreds place compare to the 7 in the place to its left?
Ivahew [28]
B is your answer!
hgfgjdhsghdfg
6 0
3 years ago
Other questions:
  • How do you make 8.25 into a fraction
    13·2 answers
  • BEST ANSWER GETS BRAINLIEST!!! PLEASE HELP
    11·2 answers
  • What is the volume of the figure below? A cylinder with height 14 meters and radius 8 meters. 112 pi m3 224 pi m3 784 pi m3 896
    11·2 answers
  • CHECK MY ANSWER??? PLEASE
    5·2 answers
  • Antionio created a scale drawing for his garden. He used a scale of 1 cm to 1 m. This scale expressed without units would be wha
    5·1 answer
  • Perimeter = 5 cm and 3 cm. what is the missing cm if total is 12 cm?
    11·1 answer
  • HELP!!!!! PLEASE AND THANK YOU
    5·2 answers
  • Find the value of a amd b if: 7+4 root 3 divided by 7-4 root 3=a+b root 3
    11·1 answer
  • Can someone help please​
    5·1 answer
  • What is the ratio between 40,000 and 200?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!