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
liq [111]
3 years ago
5

The line above goes through points (-4,0) and (0,1). what is the equation of the line?​

Mathematics
1 answer:
mariarad [96]3 years ago
5 0

Answer:

y = \frac{1}{4} x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 4, 0) and (x₂, y₂ ) = (0, 1)

m = \frac{1-0}{0+4} = \frac{1}{4}

Note the line crosses the y- axis at (0, 1) ⇒ c = 1

y = \frac{1}{4} x + 1 ← equation of line

You might be interested in
Naomi invested $4000 into a fund that is expected to grow by 5.53% per year. How long will it take the fund to be worth $8000?
aliina [53]
Assuming that this is a compounding interest rate, we use the future value formula which is expressed as: F = P ( 1 + i )^n where F is the future value, P is the present value, i is the interest rate and n is the compounding periods. We do as follows:

F = P ( 1 + i )^n 
8000 = 4000 ( 1 + 0.0553)^n
n = 12.88 yrs or about 13 years

Therefore, option D is the answer.
8 0
4 years ago
Which number is rational?<br> √2<br> 10<br> 016
erica [24]
16 I think is a rational number
6 0
4 years ago
Find all solutions of each equation on the interval 0 ≤ x&lt;2π.
Aleksandr [31]

Answer:

x = 0 \: or \:x =   \pi

Step-by-step explanation:

The given equation is

\tan^{2} (x) \sec^{2} (x)  + \sec^{2} (x)  - \tan^{2} (x) =  2

Subtract 2 from both sides and factor by grouping to get:

\sec^{2} (x)(\tan^{2} (x) + 2)  -1( \tan^{2} (x)  +  2)

(\tan^{2} (x) + 2) (\sec^{2} (x) - 1) = 0

By the zero product principle:

(\tan^{2} (x) + 2) = 0 \: or \:  (\sec^{2} (x) - 1) = 0

(\tan^{2} (x)  =  - 2 \: or \:  \sec^{2} (x)  =  1

When

\sec^{2} (x)  =  1 \implies\cos^{2} (x)  =  1

\implies \:  \cos(x)  =  \pm1

This implies

x = 0 \: or \:x =   \pi

When

{ \tan }^{2} (x) =  - 2

We have

\tan(x)  =  \pm \sqrt{ - 2}

hence x is not defined for all real numbers

6 0
3 years ago
Read 2 more answers
5
chubhunter [2.5K]

Answer:

The slope of the line is given -2

Step-by-step explanation:

since we need to find the parallel line we will use the same slope and the points given to you.

parallel line: y-1= -2 (x-4)

I hope this helps you out !!!

7 0
3 years ago
in peter's garden, 3/4 of the flowers are tulips. of the tulips, 2/3 are yellow. what fraction of the flowers in peter's garden
bekas [8.4K]
Half of the flowers are yellow tulips.

3 of the 4 columns are marked T for tulips.

Of those 3, 2 of them are yellow.

This shows us that 6 of the 12 boxes, 1/2, are yellow tulips.

8 0
3 years ago
Other questions:
  • Simplify by dividing -5/8 divided by -3/4
    8·2 answers
  • Is 2 hours and 30 minutes more or less than 10% of a day?
    15·1 answer
  • 12000 is invested for 4 years at a simple interest rate of 1.5% how much does the investment earn
    8·1 answer
  • NEED HELP PLEASEEEEEEE
    6·2 answers
  • Easy points!!!!!!!!!!1
    14·2 answers
  • PLEASE HELP IN ALGEBRA 2
    5·1 answer
  • Find the value of x in the isosceles triangle shown below.<br> 2<br> 2<br> 5<br> 8
    7·1 answer
  • Suppose the length of a vehicle is drawn to scale. The scale of the
    11·1 answer
  • D+4/3D = 336 what is the number of d
    6·1 answer
  • To factor 9x^2 - 4, you can first rewrite the expression as: A. (3x-2)^2B. (x)^2 - (2)^2C. (3x)^2 - (2)^2D. None of the above
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!