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
Juliette [100K]
3 years ago
11

Guys, determine the equation of each line, given the information below:

Mathematics
1 answer:
KIM [24]3 years ago
3 0

Answer:

The equation is;

4y = 7x + 2

Step-by-step explanation:

The general equation of a straight line is;

y = mx + b

where m is the slope and b is the y-intercept

m = (y2-y1)/(x2-x1)

(x1,y1) = (2,3)

(x2,y2) = (-2,-4)

m = (-4-3)/(-2-2) = -7/-4 = 7/4

So we have the equation as;

y = 7x/4 + b

To

get the value of b, we will substitute any of the points (let us use 2,3)

We simply substitute 2 for x and 3 for y

We have this as:

3= 7(2)/4 + b

3 = 7/2 + b

b = 3-7/2 = -1/2

So we have the equation as;

y = 7x/4 + 1/2

multiply through by 4

4y = 7x + 2

You might be interested in
Someone that can help me out please
MAXImum [283]

Answer: I got 32

Step-by-step explanation:

I got 32

8 0
3 years ago
What is 2(c+7)=2c+14
liq [111]

2(c+7)=2c+14

Use distributive property

2*c +2*7

2c+14=2c+14

Hope it helps!

3 0
3 years ago
The topic is volume & surface area, can someone help?
marishachu [46]
This pic should help

3 0
3 years ago
Allison earns a $40,000 base salary plus a commission equal to 15% of her total sales. If she sold $200,000 worth of goods, what
Sloan [31]

Answer:

The total salary of her is $1066666.66.

Step-by-step explanation:

Given : Allison earns a $40,000 base salary plus a commission equal to 15% of her total sales. If she sold $200,000 worth of goods.

To find : What was her total salary?

Solution :

Let x be the total salary.

Allison earns a $40,000 base salary.

If she sold $200,000 worth of goods.

i.e. the amount is $200,000-$40,000=$160,000

The total salary is given by,

$160,000=15% of x

0.15\times x=160000

x=\frac{160000}{0.15}

x=1066666.66

The total salary of her is $1066666.66.

6 0
3 years ago
Simplify 6(x+4)=-2(4x-4)+8x
AveGali [126]

\huge\mathscr{\colorbox{blue}{\color{yellow}{Answer:}}}

\large{\rightarrow{6\:(x\:+\:4)\:=\:-\:2\:(4x\:-\:4)\:+\:8x}}

\large{\rightarrow{6\:(x\:+\:4)\:=\:-\:2\:(4x\:-\:4)\:+\:8x}}

\large{\rightarrow{6x\:+\:24\:=\:-\:8x\:+\:8\:+\:8x}}

\large{\rightarrow{6x\:+\:24\:=\:{\cancel{-\:8x}}\:+\:8\:+{\cancel{\:8x}}}}

\large{\rightarrow{6x\:+\:24\:=\:8}}

\large{\rightarrow{6x\:=\:8\:-\:24}}

\large{\rightarrow{6x\:=\:16}}

\large{\rightarrow{x\:=\:\frac{-\:16}{6}}}\\

\large\pink{\boxed{\color{lime}{\rightarrow{x\:=\:\frac{-\:8}{3}}}}}\\

3 0
3 years ago
Other questions:
  • What is 20 over 45 in its simplest form?
    12·1 answer
  • (x+4) (x+10)<br>simplify​
    5·2 answers
  • explain how estimating the quotient helps you place the first digit the quotient of a division problem
    7·2 answers
  • Which is the graph of f(c=(x+3)(x-2)?
    10·1 answer
  • I need help pls help me what is the answer to -2(8)
    7·1 answer
  • Can someone pls give me the answer to this I need it ASAP
    10·1 answer
  • (a) y = 5z + x simplify x​
    7·2 answers
  • HELLLPP
    15·1 answer
  • Use the data set to answer the question. PLS NEED HELP!! No files or links please! :))
    14·1 answer
  • Which point is located at (0,8)
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!