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
Alekssandra [29.7K]
3 years ago
15

Use y = mx + b to determine the equation of a line with a slope -5, passing through the point (-2,4).

Mathematics
1 answer:
Maksim231197 [3]3 years ago
4 0

Answer:

y=-5x-6

Step-by-step explanation:

Hi there!

In y=mx+b, m is the slope of the line and b is the y-intercept (the value of y when x is 0). y and x remain the same but m and b are replaced with numbers.

Given that the slope is -5, plug it into y=mx+b:

y=-5x+b

Now, to solve for b, plug in the given point (-2,4):

4=-5(-2)+b\\4=10+b

Subtract 10 from both sides to isolate b:

4-10=10+b-10\\-6=b

Therefore, the y-intercept of this line is -6. Plug this back into y=-5x+b as b:

y=-5x-6

I hope this helps!

You might be interested in
the mathematics Department of a college has 11 male professors 12 female professors 9 male teaching assistants and 12 female tea
Marta_Voda [28]

Answer:

P(teaching assistant or a female) = 1 - P(professor and male) = 1 - 11/44 = 1 - 0.25 = 0.75

Make a Contingency_table

7 0
3 years ago
Find the doubling time of an investment earning 7% interest if interest is compounded continuously
Alex

Answer:

The doubling time of this investment would be 9.9 years.

Step-by-step explanation:

The appropriate equation for this compound interest is

A = Pe^(rt), where P is the principal, r is the interest rate as a decimal fraction, and t is the elapsed time in years.

If P doubles, then A = 2P

Thus, 2P = Pe^(0.07t)

Dividing both sides by P results in 2 = e^(0.07t)

Take the natural log of both sides:  ln 2 = 0.07t.

Then t = elapsed time = ln 2

                                       --------- = 0.69315/0.07 = 9.9

                                         0.07

The doubling time of this investment would be 9.9 years.

5 0
3 years ago
You have 192 grams of a radioactive kind of iodine. How much will be left
m_a_m_a [10]

Answer:

192/2= 96 g after 7h

96/2=48 g after 14h

48/2= 24 g after 21h

<h2>24/2= 12 g after 28h </h2>
8 0
3 years ago
Can anyone help me with 15a b c
Pie

a. The independent variable is r. The dependent variable is m.

b. The domain is the set of numbers used in the independent variable. You can rent 0 videos, or 1 video, or 2 videos, etc., up to the amount of money you have. If you rent 0 videos, you are left with m = 30 - 3r = 30 - 3(0) = 30 - 0 = 30 dollars. If you rent 10 videos, you will have m = 30 - 3(10) = 30 - 30 = 0 dollars left. The domain is {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. The range is {0, 3, 6, 9, 12, 15, 18, 21, 24, 27, 30}. Both the domain and range are discrete.

c. I can't do it online.

7 0
3 years ago
What is 1/7 close to 1/2 1 or 0
andrey2020 [161]

Answer:

Closer to 0

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • you measure 2 cups of peanut butter into mixing bowl. How many 1/4 cups will you need to complete the recipe?
    15·1 answer
  • Put them in order0.25,1/9,6/5
    9·1 answer
  • A cat weighs 3.5 ounces when born. The cat grows 0.5 ounces each week. After
    5·2 answers
  • Determine if each pair of ratios or rates are equivalent.
    7·1 answer
  • Point s and point t are located at -6, 13 and 8, 13 on the coordinate plane what is the distance between the two points
    9·1 answer
  • Can someone please help me with this math question please. Please
    8·1 answer
  • After 3.5 hours, Pasha had traveled 217 miles. If she travels at a constant speed, how far will she have traveled after
    5·2 answers
  • What do u multiply first?
    11·1 answer
  • What was the average speed if I drove 60 miles per hour to get to my grandmas house and 30 miles per hour to get home. Represent
    5·1 answer
  • Find the area of the triangle below.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!