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Tamiku [17]
3 years ago
10

The points (2, 8) and (1, 2) fall on a particular line. What is its equation in slope-intercept form?

Mathematics
1 answer:
Leona [35]3 years ago
3 0

Answer:

y = 6x - 4

Step-by-step explanation:

(2, 8) & (1, 2)

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(2 - 8) / (1 - 2)

Simplify the parentheses.

= (-6) / (-1)

Simplify the fraction.

-6/-1

= 6

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = 6x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (1, 2). Plug in the x and y values into the x and y of the standard equation.

2 = 6(1) + b

To find b, multiply the slope and the input of x(1)

2 = 6 + b

Now, subtract 6 from both sides to isolate b.

-4 = b

Plug this into your standard equation.

y = 6x - 4

This is your equation.

Check this by plugging in the other point you have not checked yet (2, 8).

y = 6x - 4

8 = 6(2) - 4

8 = 12 - 4

8 = 8

Your equation is correct.

Hope this helps!

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An angle measures 3π4 radians.
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Answer:

135°

Step-by-step explanation:

π : 180

3π/4 : 180 × 3/4 = 135

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If your net worth is 50,000 and you pay off your student loan from your savings account how will your net worth statement be aff
Zinaida [17]
You net worth will decrease because you’re paying a loan from the money that you have. While your net worth decreases your liabilities will decrease because you will no longer have a loan to pay for.
5 0
3 years ago
A total of tickets 569 were sold for the school play. they were either adult tickets or student tickets. there were 69 more stud
makkiz [27]
------------------------------------------
Define adult and student tickets
------------------------------------------
Let the number of adult tickets be x
Adult tickets = x
Student tickets = x + 69


------------------------------------------
Form equation and solve for x
------------------------------------------
x + x + 69 = 569         
2x + 69 = 569              ← Combine like terms
2x = 569 - 69               ← Subtract 69 from both sides
2x = 500
x = 250                         ← Divide by 2 to find x

------------------------------------------------------------------------------------
Find the number of adult tickets and student tickets
------------------------------------------------------------------------------------
Adult tickets = x = 250
Student tickets = x + 69 = 319

------------------------------------------------------------------------------------
Answer: Adult tickets = 250 ; Student tickets = 319
------------------------------------------------------------------------------------
7 0
3 years ago
Country Financial, a financial services company, uses surveys of adults age and older to determine if personal financial fitness
lesya692 [45]

Complete question :

Country Financial, a financial services company, uses surveys of adults age 18 and older to determine if personal financial fitness is changing over time (USA Today, April 4, 2012). In February of 2012, a sample of 1000 adults showed 410 indicating that their financial security was more than fair. In February of 2010, a sample of 900 adults showed 315 indicating that their financial security was more than fair. a. State the hypotheses that can be used to test for a significant difference between the population proportions for the two years. H : Pi - P2 - Select your answer HA : P1 P2 - Select your answer - b. What is the sample proportion indicating that their financial security was more than fair in 2012? Round your answer to two decimal places. In 2010?

Answer:

H0 : p1 - p2 = 0

H1 : p1 - p2 ≠ 0

Phat 2010 = 0.35

Phat 2012 = 0.41

Step-by-step explanation:

The null and alternative hypothesis :

H0 : p1 - p2 = 0

H1 : p1 - p2 ≠ 0

The null means there is no difference in proportion for the two years while the alternative claims that there is difference in proportion for the two years.

Sample proportion for 2010:

Phat = x / n

x = 315 ; n = 900

Phat = 315 / 900

Phat = 0.35

Sample proportion for 2012 :

Phat = x / n

x = 410 ; n = 1000

Phat = 410 / 1000

Phat = 0.41

6 0
3 years ago
Polygon MNOPQ is dilated by a scale factor of 0.8 with the origin as the center of dilation, resulting in the image M′N′O′P′Q′.
Goryan [66]
M` = ( 0.8 * 2,  0.8 *4 ) = 0.8 * ( 2, 4 );
N` = ( 0.8 * 3, 0.8 * 5 ) = 0.8 * ( 3 , 5 ).  
The slope of line M`N` ( after dilation ):
m = Rise / Run = ( y 2 - y 1 ) / ( x 2 - x 1 ) =
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m = 1
Answer:
The slope of line M`N` is : B ) 1
4 0
3 years ago
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