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
kompoz [17]
3 years ago
15

Which function has the smallest y-intercept?

Mathematics
1 answer:
-Dominant- [34]3 years ago
5 0

Answer:

y=2x+1

Step-by-step explanation:

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

To start, you know what m is; it's just the slope, which you said was 2. So you can right away fill in the equation for a line somewhat to read:

y=2x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(1,3). When x of the line is 1, y of the line must be 3.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: b is what we want, the 2 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (1,3).

So, why not plug in for x the number 1 and for y the number 3? This will allow us to solve for b for the particular line that passes through the point you gave!.

(1,3). y=mx+b or 3=2 × 1+b, or solving for b: b=3-(2)(1). b=1.

The equation of the line that passes through the point (1,3) with a slope of 2

is

<u>y=2x+1</u>

You might be interested in
A pelican is flying 17 feet above sea level. Directly below the bird is a trout that is swimming 23 feet below
Nadusha1986 [10]
A
Because if you do the math
4 0
2 years ago
The distance between P and T on the coordinate grid is ___ units. (Input whole numbers only.
Marat540 [252]

<em>Answer:</em>

<em>2</em><em>5</em><em> </em><em>units</em>

<em>please </em><em>see</em><em> the</em><em> attached</em><em> picture</em><em> for</em><em> full</em><em> solution</em>

<em>hope </em><em>it</em><em> helps</em>

<em>good </em><em>luck</em><em> on</em><em> your</em><em> assignment</em><em>.</em><em>.</em>

3 0
3 years ago
If F(x) = x-3, which of the following is the inverse of F(x)?
charle [14.2K]

Answer:

B

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = x - 3 ( add 3 to both sides )

y + 3 = x

change y back into terms of x, then

f^{-1}(x) = x + 3 → B

8 0
3 years ago
Read 2 more answers
What is the factored form of 2x^2-200
Luden [163]

Answer:

2 (x - 10) (x + 10)

Step-by-step explanation:

Factor the following:

2 x^2 - 200

Factor 2 out of 2 x^2 - 200:

2 (x^2 - 100)

x^2 - 100 = x^2 - 10^2:

2 (x^2 - 10^2)

Factor the difference of two squares. x^2 - 10^2 = (x - 10) (x + 10):

Answer:  2 (x - 10) (x + 10)

8 0
3 years ago
Read 2 more answers
The country of Benin in West Africa has a population of 9.05 million people. The population is growing at a rate of 3.1% each ye
jolli1 [7]

Answer: Approximately 8.78 million

Step-by-step explanation:

Since the population is growing at a rate of 3.1% each year, that is synonymous to percentage increase

%increase = increase/initial population × 100

Or

(3.1 + 100)/100 × initial population = 9.05 million

= 1.031 × initial population = 9.05 million

Initial population = 9.05million/1.031

Initial population = 8.78 million

7 0
3 years ago
Other questions:
  • Someone please help me it’s the last question just someone please explain and answer thanks
    10·1 answer
  • Which fractions are equivalent? Explain how you know.
    8·1 answer
  • There is a 40% chance that you will be elected president of the history club. There is a 10% chance that your friend will be ele
    11·1 answer
  • the measure of three angles of a quadrilateral are 80,90,and 103 degrees.Find the measure of the fourth angle.
    8·1 answer
  • Can someone help me please ​
    5·1 answer
  • Mrs. Carter baked 100 muffins for a bake sale. The muffins were sold in packages of 2. There were 12 muffins left. Write an equa
    9·2 answers
  • Factor the polynomial.<br> 3x^2+11x+6
    8·1 answer
  • Why is California at higher risk for earthquakes than North Dakota
    14·1 answer
  • Hello!! can you please help me? I've been trying to answer this question for a while now, but I cant seem to figure it out. (9th
    8·1 answer
  • 5
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!