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
uranmaximum [27]
3 years ago
12

A line segment has endpoints at (4, –6) and (0, 2). What is the slope of the given line segment? What is the midpoint of the giv

en line segment? What is the slope of the perpendicular bisector of the given line segment? What is the equation, in slope-intercept form, of the perpendicular bisector?
Mathematics
2 answers:
Zigmanuir [339]3 years ago
7 0
1) slope = (y₂-y₁)/(x₂-x₁)

Let A and B be A(4,-6) and B(0,2) ; 

m = [2-(-6)]/[0-4) = (2+6)/(-4) → m = -2 

2) Midpoint = value of x of the midpoint = (x₁+x₂)/2
value of y of the midpoint = (y₁+y₂)/2

x(midpoint) =  (4+0)/2  → x= 2
y(midpoint) =  (-6+2)/2 → y= - 2, so Midpoint M(2,-2)

3) Slope of the perpendicular bisector  to AB:
The slope of AB = m = -2
Any perpendicular to AB will have a slope m' so that m*m' = -1 (or in other term, the slope of one is inverse reciprocal of the second, then if m =-2, then m' = +1/2 ; Proof [ (-2)(1/2) = -1]

4) Note that the perpendicular bisector of AB passes through the midpoint of AB or M(2,-2). Moreover we know that the slope of the bisector is m'= 1/2
The equation of the linear function is :

y = m'x + b or y = (1/2)x + b. To calculate b, replace x and y by their respective values [in M(-2,2)]

2= (1/2).(-2) + b → 2 = -1 + b → and b= 3, hence the equation is:

y = (1/2)x + 3

QveST [7]3 years ago
5 0

Answer:

-2

(2,-2)

1/2

y=(1/2)x-3

You might be interested in
Ok guys seriously question
lisov135 [29]

Answer:

I think 4

Step-by-step explanation:

A variable term is a term with a variable on it or a letter.

3x, 3y, 5x, and y are all variable terms

5 0
3 years ago
(-4,-1), (4, 5)<br> What’s the slope
kati45 [8]

Answer: m = 3/4

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Hey can you please help me posted picture of question
Oduvanchick [21]
Your answer would be B 
8 0
3 years ago
Read 2 more answers
Which of the following could be the equation of the function below? On a coordinate plane, a curve crosses the y-axis at y = 2.
Neko [114]

Answer:

I believe according to the information provided that the answer would be would be B

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
I REALLY NEED HELP ON THIS QUICK ASAP
oksian1 [2.3K]
Is there like any image to see how big are the posts?
8 0
3 years ago
Other questions:
  • Tiffany has taken out a loan with a stated interest rate of 8.145%. How much greater will Tiffany’s effective interest rate be i
    9·2 answers
  • Find the equation of the line that satisfies the given conditions
    9·1 answer
  • What is 12 m * 8 m ​
    6·2 answers
  • What did Tyler do wrong?
    7·1 answer
  • HELP!! PLEASE!! HELP!!
    5·1 answer
  • Pls someone help me!
    14·1 answer
  • PLEASE HELP WORTH 20 POINTS Find the unknown side of the triangle below.
    11·1 answer
  • Plz help with part b
    14·1 answer
  • 8.
    11·2 answers
  • What is the area of the rectangle that is 3/2 tall and 6/2 long<br> explain how you got your answer.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!