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
Gnesinka [82]
2 years ago
12

Determine the equation of the line passing through the points (3,1) and (5,−1).

Mathematics
1 answer:
katrin [286]2 years ago
5 0

Answer:

y=-x+4

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-1-1)/(5-3)

m=-2/2

m=-1

y-y1=m(x-x1)

y-1=-1(x-3)

y-1=-x+3

y=-x+3+1

y=-x+4

You might be interested in
What formula is used to find the circumference of a circle?<br><br> isn't it C = 2πr ?
cestrela7 [59]
Yes it is area is pie r^2
8 0
3 years ago
Read 2 more answers
Given: KPST is a trapezoid, KP=ST, MN is a midsegment, MN=20, h=15, PS:KT=3:7 Find: KS and KP
lions [1.4K]

Answer:

Length of KS = 25 units and

Length of KP = 17 units.

Step-by-step explanation:

Given: KPST is a trapezoid, KP =ST, MN is a mid segment, h is the height =15

Also it is given that, MN = 20 , h = 15 and PS:KT = 3:7.

  • If two sides of the trapezoid are equal then, it is an isosceles trapezoid.
  • Mid-segment of a trapezoid is a line segment which connects the midpoints of the non-parallel sides.
  • A trapezoid mid segment connects the midpoints of two congruent sides of the trapezoid and is parallel to the pair of parallel sides.
  • Length of the mid segment is the sum of two bases divide by 2

Since, the length of Mid-segment MN = 20.

Also, it is given: PS:KT = 3:7

Let  PS = 3x and KT = 7x respectively.

then;

\frac{PS+KT}{2} = 20

\frac{3x+7x}{2} = 20

\frac{10x}{2} =20

On Simplify, we get;

5x =20

Divide both sides by 5 we get;

x =4

Then:

Length of base PS = 3x = 3(4) = 12 and Length of base KT = 7x = 7(4) = 28.

Now, In triangle PLK

Using Pythagoras theorem to find KP;

It is given here, PL =h =15 and KL= 8 {you can see in the figure as shown below};

KP^2= PL^2 + KL^2

KP^2 = 15^2+8^2 =225 +64 = 289

KP = \sqrt{289}

Simplify:

KP = 17

therefore, the length KP = 17 units

To, construct a line: Join K and S

Now, in triangle KRS

KR = KL +LR = 8 +12 =20 and SR = h= 15

Using Pythagoras theorem in KRS to find KS;

KS^2 = SR^2+KR^2

KS^2 = 15^2 + 20^2 = 225 + 400 = 625

KS = \sqrt{625}

On simplify:

KS = 25

Therefore, the length of KS is, 25 units.

4 0
2 years ago
Jan has 3 1/3 feet of rope to use on a camping trip. Assume 1 foot = 30.48 centimeters. What is the best estimate of the centime
Otrada [13]
D is the answer because if you calculate the answer correctly. that will be so.
7 0
3 years ago
Read 2 more answers
A roller coaster descended 32.3 ft in one minute. How would you show this using an integer?
Aliun [14]
The answer is A because the roller coaster is decreasing in ft.
8 0
3 years ago
Read 2 more answers
How to answer a^3-216
marshall27 [118]
Are you asking to factor it? if so, the answer is (x-6)(x^2+6x+36)
8 0
3 years ago
Other questions:
  • Write a polynomial function in standard form with real coefficients who's zeros include 4, 2i, -2i
    8·1 answer
  • I need help with 15?????
    11·2 answers
  • dan eat 3 boxes of jellybeans. if the re are 12 jellybeans in wach box , how mean jellybeans did dan eat in all
    14·2 answers
  • Which graph is defined by the function f(x) = x   if 0 ≤ x ≤ 4 (where x  is the greatest integer function, i.e., the greatest in
    9·2 answers
  • If ∠2 = 3x + 20 and ∠3 = 2x, what is the value of x
    5·1 answer
  • A Circle has a circumference of 62.8 miles. What is the radius of the circle
    11·1 answer
  • the fabric costs $14.00 per yard if you buy 5or more yards, you can get20% off how much would 5 yards cost on sale
    15·1 answer
  • What is 846837947+858
    9·1 answer
  • Sam is building a fence around his circular garden with a diameter of 8 ft. How long is the fence?
    10·1 answer
  • A gym has 65 members. If 35 are men and the
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!