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
Gennadij [26K]
3 years ago
12

Write an equation in slope intercept form thag passes through (4,-4) and is parallel to 3+4x=2y-9

Mathematics
2 answers:
uysha [10]3 years ago
7 0

The original line is

4x - 2y = -12

The parallel lines will all be

4x - 2y = constant

and the constant is given by the point directly:

4x - 2y = 4(4) - 2(-4) = 24

2y = 4x - 24

y = 2x - 12

Answer: y = 2x - 12


sashaice [31]3 years ago
4 0

Let's deal with the slope first: we know that our line is parallel to the given line, and two lines are parallel if and only if their slopes are the same.

So, if we find the slope of the given line, we also have the slope of our line.

When a line is written in the form y=mx+q, the slope is the coefficient m.

So, we can rearrange the expression of the given line as follows:

3+4x=2y-9 \iff 4x+12 = 2y \iff y = 2x+6

and so the slope is 2.

Now, when you know the slope m and a point (x_0,y_0) belonging to a line, you can write the equation of the line as

y-y_0 = m(x-x_0)

if you substitute your values, you have

y-(-4) = 2(x-4) \iff y+4 = 2x-8 \iff y = 2x-12

You might be interested in
Please help ASAP I CAN FIGURE IT OUT
OleMash [197]

The last option is the answer

X =3

8 0
2 years ago
Write the equation in slope-intercept form.<br> (2,-3) and (1,3)
Bess [88]
The slope is y=-6x+9
8 0
3 years ago
Elvira is comparing prices between two different suppliers of fresh lettuce. Val’s Veggies charges $250 for delivery plus $1.50
ad-work [718]

Answer:

61 bags of lettuce

Step-by-step explanation:

Let's create two equations representing the cost of bags of lettuce:

Val's Veggies: 250 + 1.50x = V

Sally's Salads: 100 + 4.00x = S

If you buy 60 bags of lettuce from either store, the answers will be equivalent:

If x = 60

250 + 1.50x = V

250 + 90 = V

340 = V

100 + 4.00x = S

100 + 240 = S

340 = S

Now that both equations are equivalent, all we need to do to tip the balance and make Val's Veggies cheaper is purchase one more bag of lettuce:

x = 61

250 + 1.50x = V

250 + 91.50 = V

341.50 = V

100 + 4.00x = S

100 + 244 = S

344 = S

Since V represents the price of a bag of lettuce at Val's Veggies and V is now less than S (Sally's Salads), Val's Veggies is now the cheaper option.

Therefore, 61 bags of lettuce must be purchased in order for Val's Veggies to be the cheaper option.

7 0
3 years ago
Evaluate.<br> (4/9)^2 pleaseee
vekshin1

Answer:

simplified: (16/81)

rewritten: (2/3)^4

Step-by-step explanation:

hope this helps! if wrong you can delete it :)

3 0
2 years ago
The bottom of the ladder must be 3 feet from a wall the latter is 12feet long how far above the ground does the Ladder touch the
Oksanka [162]
Question : 
<span>The bottom of the ladder must be 3 feet from a wall the latter is 12feet long how far above the ground does the Ladder touch the wall
</span>
Answer :
<span>11.6ft
</span>
I hope it helps and please press brain
(^_-) Rie
3 0
3 years ago
Other questions:
  • when your cousin was born, she was 21 4/5 inches long. when your friends was born he was 21 3/4 inches long. who was longer at b
    8·1 answer
  • Which is the standard form of the equation with p=21 phi=7pi/6
    13·2 answers
  • .<br> Please answer this correctly
    15·1 answer
  • PLEASE HELP!!!
    15·2 answers
  • How do you convert 7.85 meter to centimeters
    15·2 answers
  • If x = -2 and y = 3, by how much does 2y2 - x exceed 2x2 - y?
    8·1 answer
  • Brandi wants to participate in an after-school program. She has to choose between one art class, three dance classes, two gymnas
    11·2 answers
  • PLEASE HELP ME. THIS IS DUE TODAY
    15·1 answer
  • How many 1-yard-square tiles would it take to cover this rectangle? Dimensions are in yards.
    14·1 answer
  • How many three-digit multiples of 5 have three different digits?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!