![chanel2013](/avatars/19508.jpg)
chanel2013
26.01.2021 •
Mathematics
Which of the following equations correctly describes the graphed line?
y = -1/2x - 5
y = -1/2x + 5
y = 1/2x + 5
y = 1/2x - 5
Solved
Show answers
More tips
- F Food and Cooking What can and cannot be eaten during Lent?...
- F Food and Cooking How to Find Your Zip Code?...
- W Work and Career Can Skill Alone Make You a Professional?...
- C Computers and Internet How to Top Up Your Skype Account Without Losing Money?...
- P Philosophy Unidentified Flying Object - What is the Nature of this Phenomenon?...
- F Family and Home Protect Your Home or Apartment from Pesky Ants...
- O Other What is a Disk Emulsifier and How Does it Work?...
- F Family and Home What does a newborn need?...
- F Family and Home Choosing the Right Car Seat for Your Child: Tips and Recommendations...
Answers on questions: Mathematics
- M Mathematics Which equation represents: Two times an unknown integer, multiplied by the unknown integer minus two times a different unknown integer, equals 50. A) 2x2 + 4xy − 50 = 0...
- M Mathematics Evaluate each of the following...
- M Mathematics Verify the identity... csc x cos x= (1 - sin^2 x)/ sin x cos x...
- M Mathematics Which statement is true about the difference 217 - 28 ? (1 point) It is rational and equal to -2. It is rational and equal to 0. It is irrational and equal to -2 77. It...
- M Mathematics The temperature was 4 degrees F on monday and was 7.5 degrees lower the next day. what was the temperature on tuesday ?...
- M Mathematics Find the approximate solution of the given system of equations. 8x + 3y = 9 3x - 5y = 20 a. (3.36, -1.99) b. (-1.11, 2.79) C. (0,-1.99) d. (3.36, 2.79)...
- M Mathematics Solve the system of equations. 8x – 3y = 1 -2x + 3y = 11 A. (-1, -3) B. (-1,3) C. (2,5) D. (5,2)...
- M Mathematics During a sale at GameStop games are sold at theprice of 3 games for $60 dollars. If Jayden wantsto buy 5 video games how much money will heneed?A. $20B. $180C. $80D. $100...
- M Mathematics If F(x) = x-1, which of the following is the inverse of F(x)?...
- M Mathematics Half of a number is added to four. This sum is equivalent to negative one....
Ответ:
Option C i.e. y = 1/2x + 5 is the correct option.
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
m is the slope b is the y-interceptGiven the points
A(4, 7)
B(-4, 3)
Determining the slope between A and B
(x₁, y₁) = (4, 7) (x₂, y₂) = (-4, 3)Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [3 - 7] / [-4 - 4]
= -4 / -8
= 4/8
= 1/2
Thus, the slope of the line = m = 1/2
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = 5
Thus, the y-intercept b = 5
now substituting m = 1/2 and b = 5 in the slope-intercept form
y = mx+b
y = 1/2x + 5
Therefore, the equation of line in the graph is:
y = 1/2x + 5
Thus, option C i.e. y = 1/2x + 5 is the correct option.
Ответ: