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
yulyashka [42]
2 years ago
7

Identify which table shows a direct variation

Mathematics
2 answers:
taurus [48]2 years ago
6 0
You can tell if it has direct variation by finding the slope and inserting it and the coordinates into point slope form.

You can find the slope by putting both sets of coordinates into the equation
y - y / x -x , where the first y and x are from one set of coordinates, and the next two are from the other set.

(7.5 - 3) / (11.25 - 4.5)
4.5 / 6.75
The slope is 2/3

Next, input the slope and the origin (0,0) into point-slope form.
y - y = m (x - x)                 Substitute.
y - 3 = 2/3 (x - 4.5)            Distributive Property.
y - 3 = 2/3x - 8/15             Add 3 to both sides.
y = 2/3x + 37/15                Simplify.
y = 2/3x + 2 2/15   

So you know that the line does not go through origin, because its y-intercept is 2 2/15.

For the second one do the same things.

y -y / x - x
(3 - 1.5) / (12 - 8)
1.5 / 4
3/8

y - y = m ( x - x )
y - 3 = 3/8 (x - 12)
y - 3 = 3/8x - 24/8
y = 3/8x - 0
y = 3/8x

So the second one goes through the origin because its y-intercept is 0. The answer is Table 2 has direct variation.
Juli2301 [7.4K]2 years ago
3 0

Answer:

You can tell if it has direct variation by finding the slope and inserting it and the coordinates into point slope form.

You can find the slope by putting both sets of coordinates into the equation

y - y / x -x , where the first y and x are from one set of coordinates, and the next two are from the other set.

(7.5 - 3) / (11.25 - 4.5)

4.5 / 6.75

The slope is 2/3

Next, input the slope and the origin (0,0) into point-slope form.

y - y = m (x - x)                 Substitute.

y - 3 = 2/3 (x - 4.5)            Distributive Property.

y - 3 = 2/3x - 8/15             Add 3 to both sides.

y = 2/3x + 37/15                Simplify.

y = 2/3x + 2 2/15   

So you know that the line does not go through origin, because its y-intercept is 2 2/15.

For the second one do the same things.

y -y / x - x

(3 - 1.5) / (12 - 8)

1.5 / 4

3/8

y - y = m ( x - x )

y - 3 = 3/8 (x - 12)

y - 3 = 3/8x - 24/8

y = 3/8x - 0

y = 3/8x

So the second one goes through the origin because its y-intercept is 0. The answer is Table 2 has direct variation.

Step-by-step explanation:

You might be interested in
1. Write the name of the properties:
faust18 [17]

Answer:

a) Commutative property of addition

b) Identity Property of Multiplication

c) Identity Property of Addition

d) Associative Property of Addition.

Step-by-step explanation:

6 0
1 year ago
How many 1 quart containers of milk did the cafeteria ues
user100 [1]
Pls provide the complete question.
6 0
3 years ago
Read 2 more answers
Write the relationship between the values of the given digits. The 6 in 660
miv72 [106K]
600 and 60 I do not know what to do
8 0
3 years ago
What's 18➗4.52? Plz help
xz_007 [3.2K]
If you want to calculate 18/4.52, you can do this using the following steps:

18/4.52 = 18 / 4 52/100 = 18 / 452/100 = 18 * 100/452 = 1800/452 = 450/113 = 3.98

The correct result is 3.98.
6 0
2 years ago
Read 2 more answers
Help please and thank u
Damm [24]

Answer:

Point S is your answer.

Step-by-step explanation:

See how all of them are rays, but they all connect at point S.

Point S is your answer.

6 0
2 years ago
Read 2 more answers
Other questions:
  • If a=14 and b=14, then a=b what algebraic property is illustrated above?
    7·1 answer
  • 23% of 75 is what number
    6·2 answers
  • Which value of the variable make the statement true?
    10·1 answer
  • What is the value of n so that the equation has one solution? <br><br> 2x squared-4x+n=0
    5·2 answers
  • PLEASE SOLVE NOW I WILL MARK BRAINLEST IF SOLVED
    14·1 answer
  • Sarah bought a binder for $7.25 and six folders that totaled $9.05. How much did each folder cost?
    9·1 answer
  • What is the difference between an expression and an equation? Answer using RAE.
    6·1 answer
  • Find the values of m and b for this line.
    13·1 answer
  • Work out the area of the shaded shape 4m 9m 14m 8m
    6·1 answer
  • What is the perimeter of triangle JKL (same triangle as question #1)?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!