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
OLga [1]
3 years ago
11

What is the equation of the line that is parallel to the line 2x+3y=-8 and passes through the point (2,-2)?

Mathematics
1 answer:
Leya [2.2K]3 years ago
7 0

Equation of line passing through (2, -2) and parallel to 2x+3y = -8 is y=\frac{-2 x}{3}+\frac{-2}{3}

<h3><u>Solution:</u></h3>

Need to write equation of line parallel to 2x+3y=-8 and passes through the point (2, -2)

Generic slope intercept form of a line is given by y = mx + c

where "m" = slope of the line and "c" is the y - intercept

Let’s first find slope intercept form of 2x+3y=-8 to get slope of line

\begin{array}{l}{2 x+3 y=-8} \\\\ {=>y=\frac{-2 x-8}{3}} \\\\ {\Rightarrow y=-\frac{2}{3} x-\frac{8}{3}}\end{array}

On comparing above slope intercept form of given equation with generic slope intercept form y = mx + c,

\text {for line } 2 x+3 y=-8, \text { slope } m=-\frac{2}{3}

We know that slopes of parallel lines are always equal

So the slope of line passing through (2, -2) is also m=-\frac{2}{3}

Equation of line passing through (x_1 , y_1) and having slope of m is given by

\left(y-y_{1}\right)=\mathrm{m}\left(x-x_{1}\right)

\text { In our case } x_{1}=2 \text { and } y_{1}=-2

Substituting the values in equation of line we get

(y-(-2))=-\frac{2}{3}(x-2)

\begin{array}{l}{\Rightarrow y+2=\frac{-2 x+4}{3}} \\\\ {=>3(y+2)=-2 x+4} \\\\ {=>3 y+6=-2 x+4} \\\\ {3 y=-2 x-2}\end{array}

y=\frac{-2 x}{3}+\frac{-2}{3}

Hence equation of line passing through (2 , -2) and parallel to 2x + 3y = -8 is given as y=\frac{-2 x}{3}+\frac{-2}{3}

You might be interested in
Glowmart marked down it's stock 32%. What will be the sale price of a $60 jacket​
tatuchka [14]

Answer: $40.80

Explanation: 60*.68=40.8

4 0
2 years ago
Read 2 more answers
What is a 3 2/3 model example?
Annette [7]

I don't have an exact model but this site can help you.


https://learnzillion.com/lesson_plans/7928-use-models-for-division-of-fractions-by-fractions/


I hope this helps you in your studies and have an awesome day!


8 0
2 years ago
-3-(-2)+(-10)<br><br> Explain answer
natka813 [3]

Answer:

-11

Step-by-step explanation:

-3-(-2)+(-10)

Two - make a pos -3+2+(-10)

-1+(-10)

-11

3 0
2 years ago
Read 2 more answers
Are the fractions Name two fractions
scoundrel [369]

Answer:

1/2 and 4/8         1/2 and 3/8 are not equivalent.

Step-by-step explanation:

6 0
3 years ago
I need answer for #11
balandron [24]

Answer: The first step would be to multiply the first equation by 3 and the second by 2 so you can eliminate x.

7 0
2 years ago
Read 2 more answers
Other questions:
  • the sign of the product of two integers with the same sign is positive what is the sign of the product of 3 integers with the sa
    15·1 answer
  • Evaluate a + 4 when a = 7
    11·2 answers
  • Write 42,63 as product of their prime factors
    10·1 answer
  • Write the equation of the line through the points (2,4)(-3,-1). write answer in a point slope form
    11·1 answer
  • A student heats a crucible and sample of a hydrate as directed in the lab procedure. However, the student removes the crucible f
    13·1 answer
  • I drove 320 miles in 5 hours, how many miles did I drive in 2 hours?​
    5·1 answer
  • 4. (02.05) Which of the following expressions is the conjugate of a complex number with 2 as the real part and 31 as the imagina
    12·1 answer
  • What is the midpoint of the segment shown below?
    8·1 answer
  • At the base of a pyramid, a surveyor determines that the angle of elevation to the top is °. At a point meters from the base, th
    8·2 answers
  • An object has the diameter of 21.3. What is the area.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!