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
Kisachek [45]
2 years ago
14

What is the equation of the line which includes points (0,3) and (4,5)

Mathematics
1 answer:
laila [671]2 years ago
4 0

Answer:

y = \frac{1}{2} x + 3

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 ) = (0, 3) and (x₂, y₂ ) = (4, 5)

m = \frac{5-3}{4-0} = \frac{2}{4} = \frac{1}{2}

Note the line crosses the y- axis at (0, 3) ⇒ c = 3, thus

y = \frac{1}{2} x + 3 ← equation of line

You might be interested in
Consider the equation below (in screenshot)
frozen [14]

The <em>approximate</em> solution of the equation shown in the picture is x ≈ 39 / 8 (Right choice: B).

<h3>How to find an approximate solution of a one-variable equation</h3>

The solution of the equation is between x = 4 and x = 5. Now we begin by evaluating each side of the expression (f(x) = x² - 5 · x + 4, g(x) = 2 / (x - 1)) at the average of x = 4 and x = 5.

x = (4 + 5) / 2

x = 4.5

f(4.5) = 4.5² - 5 · 4.5 + 1

f(4.5) = - 5 / 4

g(4.5) = 2 / (4.5 - 1)

g(4.5) = 4 / 7

The solution of the equation is between x = 4.5 and x = 5, then we evaluate at the average:

x = (4.5 + 5) / 2

x = 4.75

f(4.75) = 4.75² - 5 · 4.75 + 1

f(4.75) = - 3 / 16

g(4.75) = 2 / (4.75 - 1)

g(4.75) = 8 / 15

The solution of the equation is between x = 4.75 and x = 5, then we evaluate at the average:

x = (4.75 + 5) / 2

x = 4.875

f(4.875) = 4.875² - 5 · 4.875 + 1

f(4.875) = 25 / 64

g(4.875) = 2 / (4.875 - 1)

g(4.875) = 16 / 31

The <em>approximate</em> solution of the equation shown in the picture is x ≈ 39 / 8 (Right choice: B).

To learn more on successive approximations: brainly.com/question/27191494

#SPJ1

7 0
1 year ago
Please solve this quick.
Ivenika [448]

Should be JK

If not sorry

6 0
1 year ago
-13=r/9+8<br> what is r equal to?
AURORKA [14]
Answer: r=(-189)

first you subtract both sides by 8 and get -21=r/9

then you multiply 9 with each side and get -189 = r

you can check by rewriting the problem with -189 as r and solving the equation

7 0
2 years ago
What value of X makes equation below true 2x + 9 = 4x - 1
ale4655 [162]

Answer:

5

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
226,710 - 724,435 =<br> How to work this out without calculator
Anit [1.1K]
Okay so this is going to be confusing but work from right to left. since you can’t do 0-5, borrow from the one next to the zero on the top, cross out the one and put zero and add a one on top of the zero which makes it 10. now you can do 10-5 to get 5. put the five down below the line. next solve the second column of numbers ( second to the right). since you cannot do 0- 3, like the last one, you have to borrow from the 7 over to the left. take one from there and cross the seven out and put a six. now you have 10-3 which is 7. put the 7 down. now do move to the next column and do 6-2 to get 4. put the four down below the line. move to the next column and do 2-2 to get 0. put the zero down below the line. lastly, we know the answer has to be negative so we are going to do 2-7 to get -5. put -5 down below the line and together to get the answer -502,275. i know that was very confusing but i hope it helped a little bit. i added a picture to clarify a little

7 0
1 year ago
Other questions:
  • The quotient of twenty-four and a number is four
    5·1 answer
  • AB is Tangent to circle C at point B. Which of the following can you NOT conclude is true
    12·1 answer
  • Which of the following inequalities matches the graph?
    11·2 answers
  • 7 is greater than w, and w is greater than 2 <br><br> use w only once in your inequality
    5·1 answer
  • Find the area of the figure. Use 3.14 for y, and round your answer to the nearest tenth.
    14·1 answer
  • PLZZ PLZZ HELP FASTTT will give brainliest answer and thanks
    8·1 answer
  • How do i solve this question 5+y=-15 ?​
    6·2 answers
  • Determine the explicit formula for the following arithmetic sequence. Put it in the form
    13·1 answer
  • Mrs. treble charges her music students $25 per lesson plus a recital fee of $50. How many lessons can a student take if he/she d
    8·1 answer
  • Area of the rectangle is 126 sqaure meters. Length of the rectangle is 4 more than 2 times its width. Find length and width of t
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!