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
Xelga [282]
2 years ago
7

I NEED HELP! Write an equation in standard form of the line

Mathematics
1 answer:
nadezda [96]2 years ago
8 0

Answers:

  • First box = 1
  • Second box = -5
  • Third box = -15

This forms the equation 1x-5y = -15, which is the same as x-5y = -15

=================================================================

Explanation:

Let's find the slope. I'll pick the first two rows to form the two points needed

(x1,y1) = (0,3)

(x2,y2) = (10,5)

These are then plugged into the slope formula.

m = slope

m = (y2-y1)/(x2-x1)

m = (5-3)/(10-0)

m = 2/10

m = 1/5

m = 0.2

The y intercept is b = 3 since this is the y value when x = 0.

With m = 0.2 and b = 3, we go from y = mx+b to y = 0.2x+3

Let's multiply both sides by 5 to turn that decimal value into a whole number. I'm picking 5 since 0.2 = 1/5

So we get

y = 0.2x+3

5y = 5*(0.2x+3)

5y = 5*0.2x+5*3

5y = x+15

Now let's get x and y together, but move that 15 to its own side

5y = x+15

x+15 = 5y

x = 5y-15

x-5y = -15

This is one way to write the equation in standard form.

Standard form is Ax+By = C, where A,B,C are integers. Some math textbooks insist that A > 0. In this case, A = 1, B = -5, and C = -15.

----------------------

As a way to check, we can plug in (x,y) = (15,6) from the third row of the table to see that..

x-5y = -15

15-5(6) = -15

15 - 30 = -15

-15 = -15

This verifies the third row. I'll let you check the first two rows of the table to fully confirm this equation works.

You might be interested in
Sound travels at a rate of 344 meters in 1 second. How many meters does it travel in 1 minute?
erma4kov [3.2K]

Answer:

2064 meters

Step-by-step explanation:

344*6=2064

8 0
2 years ago
Read 2 more answers
∆ABC is translated 6 units up and 3 units left to create ∆A'B'C'.
guapka [62]
The correct answer is 1

4 0
3 years ago
The X multiple answers are 60 or 55 or 9 or 27 and
Molodets [167]

Step-by-step explanation:

It is an isosceles triangle , it has two equal angles both 55°.

All Isosceles triangles have two equal angles <em>a</em><em>n</em><em>d</em> two equal sides.

So in this case x +18 is equal to 3x, and to find x you will equal them to each other to create a linear equation and solve.

x + 18 = 3x

x - 3x = -18

-2x = -18

× = -18 / -2

× = 9 <em>(</em><em>a</em><em>n</em><em>s</em><em>)</em><em> </em>

Hope I was able to help. Good Luck :)))

5 0
3 years ago
On a test of 76 ​items, Pedro got 93​% correct.​ (There was partial credit on some​ items.) How many items did he get​ correct?
Firlakuza [10]
You would use the “is/of” method.

93 / 100 = x / 76

Cross multiply and divide:

7068 / 100 = 70.68

This means Pedro got around 70 to 71 questions correct and 5 or 6 questions incorrect.
6 0
3 years ago
Can you make a triangle with the lengths 10in, 3in and 10in? If so, is it acute, obtuse or right?
sp2606 [1]
Yes gufusjehfjdoefycfhddofuufhrks
4 0
3 years ago
Other questions:
  • Apply the rules for order of operations to simplify (2− 1) + 32 ÷ 3. A. 6 B. 10/3 C. 3 D. 4
    14·2 answers
  • Find the equation of the line that is perpendicular to y = -2/3x and contains the point (4, -8)
    8·1 answer
  • I NEED HELP ASAP PLEASE!!! I REALLY NEED HELP!
    13·1 answer
  • Solve the equation A = bh for b.
    15·2 answers
  • PLEASE HELP ASAP WILL GIVE BRAAINLIEST
    12·1 answer
  • If you were the sky, and your thoughts and emotions were the weather, what would the weather look like? Draw and color your weat
    9·1 answer
  • A video game originally cost 49.99.it was discounted15%. What is the sale price of the game
    11·2 answers
  • The space shuttle travels at about 28,000 km per hour. Using that information, estimate how many hours it will take the shuttle
    11·1 answer
  • Pls I need help fast
    6·1 answer
  • Write 400+5 in standerd form?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!