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
8090 [49]
3 years ago
6

Find the equation of the line.

Mathematics
1 answer:
s2008m [1.1K]3 years ago
8 0

Answer:

y = -\frac{1}{3}x+5

Step-by-step explanation:

Let the equation of the given line is,

y = mx + b

where 'm' = slope of the line

b = y-intercept of the line

Since slope of a line passing through two points (x_1, y_1) and (x_2, y_2) is represented by,

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

If the points are (0, 5) and (-3, 6),

Slope of the line 'm' = \frac{6-5}{-3-0}

                                 = -\frac{1}{3}

y-intercept of the line 'b' = 5

Therefore, equation of the given line will be,

y = -\frac{1}{3}x+5

You might be interested in
Which expression best represents the difference between triple a number and double a number?
ioda
C. x³ - x²

In word problems, there terms which indicate the mathematical operation that needs to be performed.

difference = refers to the answer in subtraction
triple a number or double a number refers to the number of times a number is multiplied by itself.

in triple a number = a number is multiplied by itself three times.
in double a number = a number is multiplied by itself two times.

It would initially look like this: (x * x * x) - (x * x); to simplify the expression, a number to be multiplied is written down and the number of times it will multiply by itself is noted on the upper right side of the number when we look at it.

Thus: x³ - x² is the correct expression that best describes the word problem above.
8 0
2 years ago
Read 2 more answers
a chef uses 4 3/4 cups of broth for 10 servings of soup. How much broth is used in one serving of soup?
mafiozo [28]
Set up a proportion. 4 3/4 cup broth is to 10 servings as x cups broth is to 1 serving soup.

x= amount of broth in one serving

(4 3/4)/10= x/1
cross multiply

(4 3/4)(1)= 10x
convert 4 3/4 to improper fraction

(19/4)(1)= 10x

19/4= 10x
divide both sides by 10

19/4 ÷ 10= x
to divide fractions, multiply by reciprocal of 10

19/4 * 1/10= x
multiply numerators; multiply denominators

(19*1)/(4*10)= x

19/40 cup= x


ANSWER: 19/40 cup in one serving

Hope this helps! :)
4 0
3 years ago
Write each percent as a fraction in simplest form 2 2/5%
vovikov84 [41]

Answer:

12/5%

Step-by-step explanation:

12/5 %

that's it cuz u can't divide them

7 0
3 years ago
If you invest $100 into an account that earns 9% interest each year, how many years will it take for you to have $200?
Helga [31]
It does not say simple or compound interest.
Simple interest is rarely used these days, so assume compound.
Use the standard formula:
future value = present value*(1+rate/n)^(nt)
n=number of times interest is compounded per year (=1)
t=number of years
Plugging values,
200=100(1.09)^t
1.09^t = 2
take log
t(log(1.09))=log 2
t=log(2)/log(1.09)=0.6931/0.08618=8.04 years.
8 0
3 years ago
how many unique triangles can be made where one angle measures 98 degrees and another angle is an obtuse angle
aliya0001 [1]
None because it is impossible for any triangle to have more than one obtuse angle.
7 0
2 years ago
Read 2 more answers
Other questions:
  • Ethan's class is handing out balloon arrangements consisting of 4 balloons each. Each balloon has an equally likely chance of be
    10·2 answers
  • Lenny is saving up to buy a car. The table below shows the linear relationship between how much Lenny has saved and the number o
    13·1 answer
  • Find the values of the variables for the parallelogram.<br> x=<br> y=<br> z=
    9·1 answer
  • PLEASE HELP ASAP!!!!
    9·1 answer
  • Count the possible combinations of 4 letters chosen from D, E, F, G, H.
    13·1 answer
  • The world record for the longest journey driven by car is 626,960 km. The longest journey by tractor is 21,199 km.
    15·2 answers
  • The function f(x) = (x - 4)(x - 2) is shown.
    10·1 answer
  • Hey can someone pls help me answer this? I was rlly confused
    8·1 answer
  • A restaurant wants to study how well its salads sell. If 10 of the salads sold were ​salads, how many total salads did the resta
    15·2 answers
  • What is the cause of tides on Earth?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!