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
Nastasia [14]
2 years ago
15

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

Mathematics
1 answer:
Arturiano [62]2 years ago
5 0

Answer:

<u>y = -2x + 7</u>

Explanation:

<em><u>y = mx + b</u></em>

<em><u /></em>

<em>m = slope</em>

<em>b = y-intercept</em>

<em>y = a given y coordinate</em>

<em>x = a corresponding x coordinate</em>

<em />

First, we need to find the slope (m).

1) (4, -1)

2) (2/3)

m = slope = \frac{y_2-y_1}{x_2-x_1} = \frac{3-(-1)}{2-4} = \frac{4}{-2} = -2

plug in the values to the equation <u>y = mx + b</u>

<u />

-1 = -2(4) + b

-1 = -8 + b

7 = b

now, we can substitute in m and b into the equation y = mx + b

<u><em>y = -2x + 7</em></u>

You might be interested in
Show all work. <br><br>PLEASE HELP!!!!
34kurt
(a) Using the table, give the values fo rthe inverse


1) original table of values:


x      1     2     3    4    5

f(x)   0     1     1    5    3


2) The inverse of the function is obtained by exchanging x and f(x), this is:


                   ( x, f(x) ) → ( f(x), x)


3) So, the table of values of the inverse of the given function is:


x          0    1     1      5     3

f⁻¹ (x)   0     1     2     3     4


(b) Is the inverse a function?


No, the inverse is not a function, since the table of the inverse shows that the x -value 1 has two different images.


This ambigüity is opposite to the definition of a function, which requires that any input value has only one output. For that reason, the inverse is not a function. You cannot tell whether the image of 1 is 1 or 2, because both are images of the same value.
7 0
3 years ago
Ariel is putting together lunch bags for 12 students going on a field trip. She put 5 apple slices and 6 orange slices into each
Orlov [11]
<span>Calculate how many pieces of fruit go into each bag. Add this to the number of students going on the trip.</span>
6 0
2 years ago
Read 2 more answers
The sum of a number and 8 is larger than the difference of the number and 10. (Use x to represent the number)
LiRa [457]

Answer:

2

Step-by-step explanation:

it is talkin about 2

8 + 2 = 10

10 - 2 = 8

8 0
2 years ago
Given that x:y=5:1 find 4x+5y:3x
kotykmax [81]

Answer:

5:3

Step-by-step explanation:

When the ratio says x:y=5:1, it means that x is 5 times greater than y. So, plug in 5 for x and 1 for y.

4(5)+5(1):3(5)

20+5:15

25:15 , if simplified then the ratio 5:3

6 0
3 years ago
For a recipe Harris uses 2 cups of white sugar for each cup of brown sugar. How many cups of brown sugar does Harris use when he
loris [4]
A is your answer because he uses half the amount of brown sugar as he does white sugar.
4 0
3 years ago
Other questions:
  • What is the distinction between qualitative data and quantitative​ data? Give a few examples of each. Choose the correct answer
    9·1 answer
  • Find the midpoint of the segment with the given endpoints (4, -10) , (9, -2)
    6·1 answer
  • Is the side length 7√+2 rational or irrational?
    5·2 answers
  • Use variables to write an equation that represents the relationship between the time x and the distance y . A person runs 175 ya
    10·2 answers
  • Just need help solving this problem.
    12·1 answer
  • Find the value of x (9x-3)​
    14·1 answer
  • Find the area of each shape, please help and I will give a lot points
    11·1 answer
  • Simplified form of the equation 7z + 2 = 8 + 2z + 1z?
    11·1 answer
  • Alex and Jose are working on some math problems.
    15·1 answer
  • 7,4,5,2x,11, is 15 find the value of x​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!