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
gogolik [260]
2 years ago
11

Determine the slope-intercept form of the equation of the line parallel to y = x + 11 that passes through the point (–6, 2).

Mathematics
2 answers:
s344n2d4d5 [400]2 years ago
6 0

Answer:

y=1x+8

Step-by-step explanation:

Let's start with the general slope-intercept equation of a line, which is defined as:

(y-b)=m*(x-a), where:

(a,b) is a point belonging to the line, and, m is the line's slope.

The equation for the given line is:

y=x+11, which can be re-written as:

(y-11)=1(x-0)

This means that the slope of this line is m=1, and that a point belonging to the line is (0,11).

Since parallel lines are defined as lines with the same slope, then for the second line, we need to establish m=1.

Becuase the point (-6,2) is a point belonging to the second line, then we can express the general equation (y-b)=m*(x-a) as:

(y-2)=1(x-(-6)) which we can re-write as:

y=1(x-(-6))+2

y=1x+6+2

y=1x+8

In conclusion, the equation of a line that passes through the point (-6,2) and is parallel to the given line, can be described by the following equation in its slope-intercept form: y=1x+8.

MArishka [77]2 years ago
3 0
Line parallel to y=x+11 so slopes are equal then
y= x+b
Passing through the point C (-6;2) then C belongs to this line
yc=xc+b
b= 6+2
b= 8
So y intercept is equal to 8
You might be interested in
Add<br><br> Show your work<br><br> -1.2 + (-1.7)
Kobotan [32]

Answer:

-2.9

Step-by-step explanation:

You are really subtracting. Note that if you have a positive & negative sign directly next to each other, you will subtract:

-1.2 + (-1.7) = -1.2 - 1.7 = -2.9

-2.9 is your answer.

~

8 0
2 years ago
Read 2 more answers
How do you work the problem 6752-3827 to get the answer​
Anestetic [448]

Answer:

you subtract and get 2925

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Which situation is repesented by the graph
forsale [732]

Answer:

answer is A i think im not sure

Step-by-step explanation:

i dont know ask your teacher

4 0
3 years ago
Find the x and y intercept of the equation: 8x+4y=24
myrzilka [38]
8x=24 which is 3 so x = 3

4y=24 which is 6 so y = 6
(3,0) for x and (0,6) for y
5 0
3 years ago
What is a formula for the nth term of the given sequence?<br> 36, 24, 16...
SpyIntel [72]

Answer:

The formula to find the nth term of the given sequence is 54 · \frac{2}{3} ^{n}

Step-by-step explanation:

The formula for nth term of an geometric progression is :

a_{n} = \frac{a_{1}(r^{n})}{r}

In this example, we have a_{1} = 36 (the first term in the sequence) and

r = \frac{2}{3} (the rate in which the sequence is changing).

Knowing what the values for r and a_{1} are, now we can solve.

a_{n} = \frac{a_{1}(r^{n})}{r} = \frac{36 (\frac{2}{3} ^{n}) }{\frac{2}{3} } = 54 · \frac{2}{3} ^{n}

Therefore, the formula to find the nth term of the given sequence is

54 · \frac{2}{3} ^{n}

3 0
3 years ago
Other questions:
  • A league of 16 teams is playing a "round-robin" style tournament, where each team plays every other team exactly once. how many
    13·1 answer
  • How many strings of 4 decimal digit do not contain the same digit twice?
    12·1 answer
  • 48 people got on a roller coaster. If each seat held 2 people, which equation could be used to find the total number of seats th
    9·1 answer
  • Simplify each expression.
    5·1 answer
  • Help with number 13. . . . . .
    6·1 answer
  • Is 786 closer to 700 or 800?how do you know
    7·1 answer
  • A sweatshirt is sold for $42 and the sales tax is 8%. How much is the sales tax?
    14·1 answer
  • What type of correlation is shown in the graph?<br> no correlation<br> positive<br> negative
    15·1 answer
  • 2) Given: lines a and b are parallel<br> Prove: m&lt;1 = m&lt;8
    13·1 answer
  • Mguel sells nsurence. He earns a 6% commision on each sell he makes. Miguel has a goal of earning $600 in commisions. Miguel nee
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!