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
OverLord2011 [107]
3 years ago
12

Find the equation of a line that contains the points (0,0) and (6,−7). Write the equation in slope-intercept form, using fractio

ns when required.
Mathematics
1 answer:
shtirl [24]3 years ago
3 0

Use the slope formula below:

\large \boxed{m =  \frac{y_2 - y_1}{x_2 - x_1} }

To form an equation of a line - we need to find a slope and the y-intercept from y = mx+b. We are given two points which we can substitute in the formula.

\large{m =  \frac{0 - ( - 7)}{0 - 6} } \\  \large{m =  \frac{0 + 7}{ - 6}  \longrightarrow  \frac{7}{ - 6} } \\  \large  \boxed{m =  -  \frac{7}{6} }

We have finally got the slope. Next is to find the y-intercept. First we rewrite the equation of y = mx+b by substituting the slope.

\large \boxed{y = mx  + b}

The equation above is the slope-intercept form. Substitute m = -7/6 in the equation.

\large{y =  -  \frac{7}{6} x + b}

Since the graph passes through (0,0) which is an origin point. In y = mx+b if the graph passes through origin point, that means the b-value is 0. Therefore:

\large \boxed{y =  -  \frac{7}{6}  + 0 \longrightarrow y =  -  \frac{7}{6} x}

Answer

  • y = -7x/6

Hope this helps and let me know if you have any doubts! Good luck on your assignment!

You might be interested in
Arnold deposited $732.19 in a savings account that earns 2.7% simple interest. What is Arnold's account balance after seven year
liq [111]

Answer:

Step-by-step explanation:

$870.57

use equation total = Principal(1 + rate*time)

3 0
3 years ago
Your little cousin will have a big animal-themed birthday party and you will help with the goody bags. Each bag will have a penc
Bas_tet [7]

Using the least common factor, it is found that:

  • a) 60 packages should be bought.
  • b) There will be 5 filled goody bags.

<h3>Least Common Factor:</h3>
  • The sizes of the packages are: 10, 6, 15 and 12.
  • To fill each bag and have no left-overs, the number of packages is the <u>least common factor</u> of these amounts.
  • The least common factor is found factoring the numbers into prime factors.

Item a:

10 - 6 - 15 - 12|2

5 - 3 - 15 - 6|2

5 - 3 - 15 - 3|3

5 - 1 - 5 - 1|5

1 - 1 - 1 - 1

Hence, lcf(10,6,15,2) = 2 x 2 x 3 x 5 = 60.

60 packages should be bought.

Item b:

Goody bags are in packages of 12, hence:

60/12 = 5.

There will be 5 filled goody bags.

To learn more about the least common factor, you can take a look at brainly.com/question/24873870

6 0
2 years ago
Using scientific notation, what is the solution to (2.82 * 104) * (3.1 * 103)?
MArishka [77]

Answer: Choice A) 8.742 * 10^7

=====================================

Work Shown:

(a * 10^b) \times (c * 10^d) = a*c*10^{b+d}\\\\(2.82 * 10^4) \times (3.1 * 10^3) = 2.82*3.1*10^{4+3}\\\\(2.82 * 10^4) \times (3.1 * 10^3) = 8.742*10^{7}\\\\

Extra info:

8.742 * 10^7 = 87,420,000

which is a little over 87.4 million

6 0
2 years ago
Help me with question number 3 please!!!
grin007 [14]

Answer: please mark brainlyest

Step-by-step explanation:

5 0
2 years ago
What is the product ?
Olenka [21]

Answer:

The answer to your question is:

Step-by-step explanation:

   \frac{x^{2}-16 }{2x + 4} \frac{x^{3}-2x^{2} + x }{x^{2}+ 3x - 4}

Factorize    \frac{(x+4)(x-4)}{2(x+2)}  \frac{x(x^{2}-2x + 1) }{(x+4)(x-1)}

Factorize    \frac{(x+4)(x-4)}{2(x+2)} \frac{x(x-1)^{2} }{(x+4)(x-1)}

Simplify      \frac{x(x-4)}{2(x+2)}

7 0
3 years ago
Other questions:
  • Janet can do a job in three hours while Gary can do the same job in two hours. If Janet works for an hour before Gary be in help
    13·2 answers
  • An equilateral triangle ΔLMQ (see picture to the right) is drawn in the interior of square LMNP so that side LM is common. Find
    5·1 answer
  • a scientist used 2 gallons of liquid for every 7 hours he works. he used__of a gallon each hour he works
    14·1 answer
  • If my children made 18 cookies then my children made 18 more how many cookies are altogether​
    13·2 answers
  • Does anyone wanna be friends lol?
    13·2 answers
  • If one person takes six hours to paint a house in another person takes 10 hours to paint house how long does it take them to pai
    8·1 answer
  • What is the measurement of
    9·2 answers
  • A scientist has a sample of the radioactive isotope bismuth-212. The isotope decays exponentially as shown in the table. Time (s
    13·1 answer
  • What is 4 1/2 (-2+1+7) =
    9·1 answer
  • A rental car costs $15 a day plus 25 cents for each mile driven. Which
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!