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
vitfil [10]
3 years ago
10

Write the slope-intercept form of the equation of the line described by (−1, −1), parallel to y = −2x − 4

Mathematics
1 answer:
LuckyWell [14K]3 years ago
7 0

Answer:

y = -2x - 3

Step-by-step explanation:

Slope intercept form of line is

y = mx + c

where

m is the slope and c is the y intercept

________________________________________

Given that line

y = −2x − 4

comparing it with y = mx + c

m = -2 and c = -4

Thus, slope of this line is -2

we also know that when two lines are parallel then their slopes are same

thus, slope of required line will be m = -2

___________________________________________

now let the equation of line passing through (-1,-1) be

y = mx + c

we have found m to be -2

using this in above equation we have

y = -2x + c

since (-1,-1) passes through the above line using x = -1 and y = -1

we have

-1 = -2*-1 + c

-1 = 2 + c

c = -1 - 2 = -3

using c = -3 in y = -2x + c

we have

equation of line as

y = -2x - 3 in slope intercept form.

You might be interested in
PQ has endpoints P(-4, -2) and Q(-6, 8). What is the length of segment PQ in simplest radical form?
harina [27]

Answer:

The answer is

<h2>2 \sqrt{26}  \:  \:  \:  \: units</h2>

Step-by-step explanation:

The distance between two points of a line segment can be found by using the formula

d =  \sqrt{ ({x_1 - x_2})^{2} +  ({y_1 - y_2})^{2}  } \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

P(-4, -2) and Q(-6, 8)

The length of the line segment is

|PQ|  =  \sqrt{ ({ - 4 + 6})^{2} +  ({ - 2 - 8})^{2}  }  \\  =  \sqrt{ {2}^{2}  +  ({ - 10})^{2} }  \\  =  \sqrt{4 + 100}  \\  =  \sqrt{104}  \:  \:  \:  \:  \:  \:  \:  \\  = 2 \sqrt{26}  \:  \:  \:  \:  \:  \:  \:

We have the final answer as

2 \sqrt{26}  \:  \:  \:  \: units

Hope this helps you

6 0
3 years ago
HELP ASAP how do I solve this problem
puteri [66]
Answer:

C. 5/3 (5 sqrt 3) (8.66...)

Explanation:

You would use the SohCahToa to find out side x.

First, label your sides (10 is hypotenuse, x is the opposite, and blank side is the adjacent).

Second, figure out which part you have to use (Sin, Cosine, or Tangent). A good way to tell is of you have the missing side on top of the fraction, makes things easier.

Third, once you figure that out then plug stuff in...

Sin(theta) = O/H
Sin(60) = X/10
10sin(60) = X
8.66... = X
8 0
3 years ago
What is 5 3/4 as a decimal?
ziro4ka [17]

Answer:

5.75

Step-by-step explanation:

5 \frac{3}{4}  =  \frac{5 \times 4 + 3}{4}  = \frac{20 + 3}{4}   =  \frac{23}{4}  = 5.75  \\

7 0
3 years ago
What percentage is the shaded area
Papessa [141]

Answer:

50%

Step-by-step explanation:

50% because it is halfways shaded

5 0
3 years ago
Read 2 more answers
There were 13 students running in a race. How many different arrangements of first,
stellarik [79]

Answer: 13P3= 1716

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • What is 4/5 | 3 1/2 | and 3 1/8 as a fraction in feet
    8·1 answer
  • An 8 oz box of cocoa puffs costs $1.59 and a 2-pound box costs $6.79. which box is a better buy
    7·1 answer
  • 327.46 written in expanded form
    7·2 answers
  • What is 3x=5 a positive solution, negetive solution, zero solution, or no solution
    5·1 answer
  • Does the sum of the areas of the smaller Squares equal the area of the large squares
    9·1 answer
  • What is the maximum number of possible solutions for the system shown below?
    8·2 answers
  • in a survey 27% of the people chose salads over a meat dish. In all 81 people chose salads. how many people were in the survey?
    6·1 answer
  • A cylinder and a sphere both have the same radius, 4. The height of the cylinder is equal to the diameter of the sphere. Select
    13·1 answer
  • If the silver accounts for 84% of the bar's weight, what is the weight of the silver?
    14·1 answer
  • Find the constant rate of change for each linear function and interpret its meaning
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!