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
What is an equation of the line that passes through the points (- 2, 1) and (- 8, 4) ?
Fantom [35]

Answer:

y=-x/2

Step-by-step explanation:

m=(4-1)/(-8-(-2))

m=3/-6

m=-1/2

b=y-mx

b=1-(-1/2*(-2))

b=1-1

b=0

y=-x/2

7 0
3 years ago
3. A Card is drawn from the deck and is not put back
N76 [4]

Answer:

dependent

Step-by-step explanation:

8 0
3 years ago
The diameter of a flour tortilla is 12 inches. What is the area to the nearest hundredth?
dimaraw [331]

3.14*d

3.14*12= 37.68

Rounded to the nearest hundredth would be 37.7

4 0
3 years ago
Read 2 more answers
Sarah measured her square garden to have an area of 122 ft​ 2​ . How long is one side of Sarah’s garden?
Mashutka [201]

Answer:

30.5 ft squared

Step-by-step explanation:

First, find the area and shape. If it is a square then you want to divide by four since all sides are equal. So divide 122 by 4 and you get the answer.

<h2><u><em>If you need more help or explanation, follow up in the comments below. :P</em></u></h2>
5 0
3 years ago
Jada's sister works in a furniture store.
Bingel [31]

Answer:

1) $16.35

2) 75%

3) $245  

Step-by-step explanation:

1) Jada earns = $15 per hour

  9% increase = 15 * 9/100 = $1.35

  Increased Jada's pay = 15+1.35 = $16.35

2) Markup = selling price - cost= $350 - 200= $150

   Markup % = \frac{sale price - cost }{cost}*100 \

                      = \frac{150}{200}*100 = 75%

3) Jada's sister commission is 3.5% of $7000

          = \frac{3.5}{100}* 7000

           = $245  

5 0
2 years ago
Other questions:
  • How fast was the plane traveling ?
    11·2 answers
  • How do you reflect across the x-axis?
    13·1 answer
  • Rewrite the following equation in slope intercept form 4x-5y=-20
    11·1 answer
  • I am a parallelogram. i have an area of 45m2. i have a base of 6 cm. what is my height?
    9·2 answers
  • A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 2,240 ft. Determine the flags width and
    6·1 answer
  • Options are 70 75 85 or 100
    12·1 answer
  • Which is the greatest of the common factors of two or more numbers?
    13·1 answer
  • 10.Last week Dirk and his roommates ate of a carton of yogurt, and this week they ate 3% of a carton. How much more yogurt did t
    9·1 answer
  • Anyone want to join a tournament in fort.nite im looking for players on brainly and putting them up against each other my You.Tu
    10·2 answers
  • Helppppp1!!\<br><br> (2x+4)=-4(-2x-6)
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!