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
lys-0071 [83]
2 years ago
11

What is the equation of the line that passes through (4, -1) and (-2, 3)?

Mathematics
1 answer:
sammy [17]2 years ago
4 0

Answer:

a

Step-by-step explanation:

the equation of a line in slope- intercept form is

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

calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (4, - 1 ) and (x₂, y₂ ) = (- 2, 3 )

m = \frac{3-(-1)}{-2-4} = \frac{3+1}{-6} = \frac{4}{-6} = - \frac{2}{3} , then

y = - \frac{2}{3} x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (- 2, 3 ) , then

3 = \frac{4}{3} + c ⇒ c = 3 - \frac{4}{3} = \frac{5}{3}

y = - \frac{2}{3} x + \frac{5}{3} ← in slope- intercept form

multiply through by 3 to clear the fractions

3y = - 2x + 5 ( subtract - 2x + 5 from both sides )

2x + 3y - 5 = 0 ← in general form

You might be interested in
Simplify using the order of operations.<br> 3/8-1/9
svetoff [14.1K]

Answer:

19 /72 ≈0.264

Step-by-step explanation:

3 0
3 years ago
If f(x)=square root x-3, which inequality can be used to find the domain of f(x)? A square root x-3 =&gt;0 B x-3=&gt;0 C square
ser-zykov [4K]
Hello : 
f(x) = √(x-3)
answer: B     x-3 <span>≥ 0</span>
7 0
3 years ago
Write the domain and range as an inequality please!!!<br> 
Nat2105 [25]

Answer:

x > -1

Step-by-step explanation:

Domain is the set of x-values that can be inputted into function f(x).

From the graph we can see that our x-values span from -1 to infinity. Since -1 is open dot, it is not included in the domain:

(-1, ∞) or x > -1

5 0
3 years ago
If f(x)=2x² +5√(x-2), complete the following statement:
myrzilka [38]

By functional analysis we have the following conclusion about the function given: The domain for f(x) is all real numbers greater than or equal to 2.

<h3>How to determine the domain of a function with radical components</h3>

Domain is the set of x-values such that the value of the function exists. By algebra we know that the domain of polynomials is the set of all <em>real</em> numbers, whereas the domain of <em>radical</em> functions is the set of x-values such that y ≥ 0. If we know that f(x) = 2 · x² + 5 · √(x - 2), then the domain is restricted by the <em>radical</em> component and defined by x ≥ 2.

By functional analysis we have the following conclusion about the function given: The domain for f(x) is all real numbers greater than or equal to 2.

To learn more on functions: brainly.com/question/12431044

#SPJ1

8 0
2 years ago
I am currently having trouble with this question. Please helpppp
Zepler [3.9K]

Answer:

Download the app photomath but it I think it would be 3.25

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Bobbi wanted to purchase a shirt that had an original price of $38.99 at the store where she works. She gets an employee discoun
    7·2 answers
  • HEY CAN ANYONE PLS ANSWER DIS MATH QUESTION!!!!!!!
    7·1 answer
  • Explain and show your work, please.
    11·1 answer
  • Elkins Pointe basketball team purchased equipment and uniforms for a total cost of $912. The equipment cost$612 and the uniforms
    11·2 answers
  • What are the zeros for the function f(x)=x^3-4x
    5·1 answer
  • Los 3/4 de un número es 120. ¿Cuál es el número?
    8·2 answers
  • Consider the number line of x &gt; 28 which numbers are solutions of the inequality
    7·1 answer
  • Find the reciprocal of 4/5
    8·1 answer
  • Simplify the expression. -17+[(8-3)-(-14-19)]=
    15·1 answer
  • Solve the math problem
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!