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
kap26 [50]
3 years ago
5

The given line passes through the points and (-4, -3) and (4, 1).

Mathematics
1 answer:
Debora [2.8K]3 years ago
4 0

Answer:

The equation of the line is y - 3 = -2(x + 4)

Step-by-step explanation:

* Lets explain how to solve the problem

- The slope of the line which passes through the points (x1 , y1) and

  (x2 , y2) is m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

- The product of the slopes of the perpendicular lines = -1

- That means if the slope of a line is m then the slope of the

  perpendicular line to this line is -1/m

- The point-slope of the equation is y - y_{1}=m(x - x_{1})

* lets solve the problem

∵ A given line passes through points (-4 , -3) and (4 , 1)

∴ x1 = -4 , x2 = 4 and y1 = -3 , y2 = 1

∴ The slope of the line m=\frac{1-(-3)}{4-(-4)}=\frac{1+3}{4+4}=\frac{4}{8}=\frac{1}{2}

- The slope of the line perpendicular to this line is -1/m

∵ m = 1/2

∴ The slope of the perpendicular line is -2

- Lets find the equation of the line whose slope is -2 and passes

 through point (-4 , 3)

∵ x1 = -4 , y1 = 3

∵ m = -2

∵ y - y1 = m(x - x1)

∴ y - 3 = -2(x - (-4))

∴ y - 3 = -2(x + 4)

* The equation of the line is y - 3 = -2(x + 4)

You might be interested in
Use substitution to solve the<br> following system of equations.<br> 2x + 4y = 12 AND x=y - 3
Kamila [148]

Answer:

The solution is (0, 3)

Step-by-step explanation:

First, reduce 2x + 4y = 12 to x + 2y = 6, for easier calculations.

Next, substitute y - 3 for x in the other equation:

y - 3 + 2y = 6, or

3y = 9

Then y = 3.  Since x = y - 3 in general, x = 3 - 3 = 0 when y = 3.

The solution is (0, 3)

8 0
3 years ago
One angle of an isosceles triangle measures 110°. Which other angles could be in that isosceles triangle? Choose all that apply.
BigorU [14]

Answer:

75 an 35 YEE YEE.

Step-by-step explanation:

im pretty sure

8 0
3 years ago
NEED HELP! ASAP! 50 POINTS!
anastassius [24]

Answer:

D

You use algebra and solve it for y.

Step-by-step explanation:

4x-3y=18

3y=4x+18

y=4/3x +6

7 0
3 years ago
Read 2 more answers
Five more then six times a number is 17.what is the number
postnew [5]

Answer:

2

Step-by-step explanation:

You set up and equation:

5+6x = 17

You solve it and get 2.

7 0
3 years ago
Read 2 more answers
Find the difference.<br> (20m+ 3) - (7m-5)<br> A. 13m +8<br> B. 27m+8<br> C. 13m-2<br> D. 27m-2
cupoosta [38]

Answer:

13m-2

Step-by-step explanation:

(20m+3)-(7m-5)

20m+3-7m+5

13m-2

8 0
3 years ago
Other questions:
  • Giving Brainliest!!! According to the bar charts, approximately how many females received recommendations for promotion?
    13·2 answers
  • Isabela is comparing the values below. Wich list shows the values in descendent order.
    15·1 answer
  • Select the following series as arithmetic, geometric, or neither. 1 + 2 + 3 + 4 + . . . + 10
    12·1 answer
  • Kitty has 13 papers .She had drawn 5 pictures. Then Her Little Brother Ripped 5 more. How may paper does Kitty have left. Show y
    5·2 answers
  • Do alien raviolis exist?
    5·1 answer
  • The diagram shows the ratio of teeth on the larger and smaller gears of Nash's fishing reel. A tape diagram showing 6 parts labe
    14·1 answer
  • PLEASEEEE HELP MEEEEEEEEEE
    5·1 answer
  • Please can anyone please help me with that please faster if you know that please???!!?!
    6·1 answer
  • 2/3 + 3/4 + 4/2. If a fraction appears in your answer, it should be in simplified form.
    7·1 answer
  • Give a written explanation for how to find the quotient of each of the problems listed below using one of the following methods:
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!