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Nana76 [90]
3 years ago
6

Find the slope and y intercept of the line represented by each table​

Mathematics
1 answer:
zvonat [6]3 years ago
7 0

Answer:

see explanation

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

(1)

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (2, 22) and (x₂, y₂ ) = (4, 32) ← 2 ordered pairs from the table

m = \frac{32-22}{4-2} = \frac{10}{2} = 5, thus

y = 5x + c ← is the partial equation

To find c substitute any ordered pair from the table into the partial equation

Using (6, 42), then

42 = 30 + c ⇒ c = 42 - 30 = 12

Thus Table 1 has slope = 5 and y- intercept = 12

(2)

Using (x₁, y₁ ) = 2, 15) and (x₂, y₂ ) = (1,8) ← 2 ordered pairs from the table

m = \frac{8-15}{1-2} = \frac{-7}{-1} = 7, thus

y = 7x + c ← is the partial equation

To find c substitute (3, 22) into the partial equation

22 = 21 + c ⇒ c = 22- 21 = 1

Thus Table 2 has slope = 7 and y- intercept = 1

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3.60

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5 0
2 years ago
The ratio of ages of kissi and esinam is 3:5 and esinam is 3:5 The sum of ages of all 3 is 147 years.whats the age difference be
Sergio039 [100]

Answer:

48 years.

Step-by-step explanation:

Consider the complete question is "The ratio of ages of kissi and esinam is 3:5 and that of esinam and lariba is 3:5. The sum of ages of all 3 is 147 years. whats the age difference between oldest and youngest ?"

It is given that

Kissi : Esinam = 3:5 = 9:15

Esinam : Lariba = 3:5 = 15:25

So, the combined ratio is Kissi : Esinam : Lariba = 9:15:25

Let ages of Kissi, Esinam, Lariba are 9x, 15x and 25x.

Sum of ages of all 3 is 147 years.

9x+15x+25x=147

49x=147

x=3

The value of x is 3. So, the age of all three are

Kissi=9x=9(3)=27

Esinam=15x=15(3)=45

Lariba=25x=25(3)=75

Since Lariba is oldest and Kissi is youngest, therefore, the difference between their ages is

75-27=48

Hence, difference between oldest and youngest is 48 years.

8 0
2 years ago
A baker bought some flour. he used 2/5 of flour to make bread and used the rest to make batches of muffins. if he used 16lb. of
jarptica [38.1K]
I dunno actually D: I think it's 1.6 sorry I really don't know leave a 1 star if you have to!
8 0
3 years ago
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10q - 30 is equivalent​
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Answer:

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Step-by-step explanation:

3 0
3 years ago
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Flip a coin three times. You will win $2 for each heads. What is the expected winning (expectation of your winning)
Romashka [77]

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HHH, HHT, HTH, HTT, THH, THT, TTH, TTT

P(3 heads) = 1 way out of 8  or 1/8

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P(1 head) = 3 ways out of 8 or 3/8

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x=Winnings  P(x)  E(x)=x�P(x)

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

Total expectation =   $ .25

7 0
2 years ago
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