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
SpyIntel [72]
3 years ago
14

What is m = 2/3; (6, 1) in slope intercept form? :)

Mathematics
1 answer:
Marina86 [1]3 years ago
7 0

Answer:

y = 2/3x - 3

Step-by-step explanation:

First let's look at what slope-intercept form is.

y = mx + b

m is the slope, which in this case is 2/3

b is the y-intercept, which we will find later.

Now that we have identified the parts of the equation, let's plug in what we know. Use the point given for your x and y values.

y = mx + b

1 = 2/3(6) + b

Let's simplify this to find b.

[multiply] 1 = 4 + b

[subtract 4]

-3 = b

We now have our b-value, which is also our y-intercept. Plug in this value into the standard slope-intercept equation.

y = 2/3x - 3

This is your equation.

Check this by plugging in the point again.

1 = 2/3(6) - 3

[multiply] 1 = 4 - 3

[subtract]

1 = 1

This expression is true; therefore, your answer is correct.

Hope this helps!

You might be interested in
Write a polynomial to represent the value of d dimes and n nickels.
nadya68 [22]
Answer: 0.10d + 0.05n
Note: this value expression is in dollars (not cents)
If you want the expression in cents instead of dollars, then it would be 10d+5n

--------------------------------------------------------------------------------

The value of just the dimes only is 0.10d dollars
The value of just the nickels only is 0.05n dollars
Combined the total value is 0.10d+0.05n dollars
3 0
3 years ago
the height of a tree was 12 feet. after a year, the tree's height increased 25%. what is the height of the tree after a year
Margaret [11]

Answer:

15 feet

Step-by-step explanation:

7 0
3 years ago
You have a wire that is 20 cm long. You wish to cut it into two pieces. One piece will be bent into the shape of a square. The o
Aleksandr [31]

Answer:

Therefore the circumference of the circle is =\frac{20\pi}{4+\pi}

Step-by-step explanation:

Let the side of the square be s

and the radius of the circle be r

The perimeter of the square is = 4s

The circumference of the circle is =2πr

Given that the length of the wire is 20 cm.

According to the problem,

4s + 2πr =20

⇒2s+πr =10

\Rightarrow s=\frac{10-\pi r}{2}

The area of the circle is = πr²

The area of the square is = s²

A represent the total area of the square and circle.

A=πr²+s²

Putting the value of s

A=\pi r^2+ (\frac{10-\pi r}{2})^2

\Rightarrow A= \pi r^2+(\frac{10}{2})^2-2.\frac{10}{2}.\frac{\pi r}{2}+ (\frac{\pi r}{2})^2

\Rightarrow A=\pi r^2 +25-5 \pi r +\frac{\pi^2r^2}{4}

\Rightarrow A=\pi r^2\frac{4+\pi}{4} -5\pi r +25

For maximum or minimum \frac{dA}{dr}=0

Differentiating with respect to r

\frac{dA}{dr}= \frac{2\pi r(4+\pi)}{4} -5\pi

Again differentiating with respect to r

\frac{d^2A}{dr^2}=\frac{2\pi (4+\pi)}{4}    > 0

For maximum or minimum

\frac{dA}{dr}=0

\Rightarrow \frac{2\pi r(4+\pi)}{4} -5\pi=0

\Rightarrow r = \frac{10\pi }{\pi(4+\pi)}

\Rightarrow r=\frac{10}{4+\pi}

\frac{d^2A}{dr^2}|_{ r=\frac{10}{4+\pi}}=\frac{2\pi (4+\pi)}{4}>0

Therefore at r=\frac{10}{4+\pi}  , A is minimum.

Therefore the circumference of the circle is

=2 \pi \frac{10}{4+\pi}

=\frac{20\pi}{4+\pi}

4 0
3 years ago
Which represents a total cost of 2 dance tickets at a price of c for each, less a one-time $5 discount?
Eduardwww [97]

The statement is represented as 2(c- 5). Option D

<h3>What are algebraic expressions?</h3>

Algebraic expressions are expressions consisting of variables, terms, factors, and constants.

They are also made up of mathematical operations such as addition, bracket, subtraction, division, multiplication, etc

From the information given, we have;

  • total cost of 2 dance tickets
  • price of c for each, less a one-time $5 discount

Expressed as;

2(c- 5)

Thus, the statement is represented as 2(c- 5). Option D

Learn more about algebraic expressions here:

brainly.com/question/4344214

#SPJ1

7 0
1 year ago
Tyrone is the supervisor at a water park. His annual salary is $34540. What is his monthly salary?​
icang [17]

Answer:

the answer I got was 2878.3

8 0
2 years ago
Other questions:
  • Albania is an Eastern European country that uses a currency called the Albanian Lek (ALL). Right now, $1 (1 USD) exchanges for 1
    6·1 answer
  • Yesterday, Tammy went on a bike ride. Her average speed was 8 miles per hour. Today, she went on another ride, this time averagi
    13·1 answer
  • The quadratic function y = –10x2 + 160x – 430 models a store’s daily profit (y) for selling a T-shirt priced at x dollars. What
    6·2 answers
  • ralph opened up a checking account with $100. on monday he withdrew $45 to purchase a pair of jeans. on wednesday he deposited a
    12·1 answer
  • How do you do exterior angles of triangles
    10·2 answers
  • Find the Taylor series for f(x) centered at the given value of a. (Assume that f has a power series expansion. Do not show that
    8·1 answer
  • Nicole tutors history. For each hour that she tutors she earns 50 dollars. Her earnings, (E) in dollars, after tutoring for (h)
    10·1 answer
  • Your friend says after using her calculator, she found the p-value equals 7.145013. Can this be right? If not, can you determine
    14·1 answer
  • The diameter of a circle is 8 inches. what is the circle's circumference​
    12·2 answers
  • 30 points 1
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!