Write the equation of the line that passes through (−3, -5) and (-2, 10) in slope-intercept form

Answers

Answer 1

Answer:

y = 15x + 40

Step-by-step explanation:

(-3, -5) and (-2, 10)

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:

(10 - (-5)) / (-2 - (-3))

Simplify the parentheses.

= (10 + 5) / (-2 + 3)

= 15 / 1

Simplify the fraction.

15/1

= 15

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

y = 15x + 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 (-2, 10). Plug in the x and y values into the x and y of the standard equation.

10 = 15(-2) + b

To find b, multiply the slope and the input of x(-2)

10 = -30 + b

Now, add 30 to both sides to isolate b.

40 = b

Plug this into your standard equation.

y = 15x + 40

This is your equation.

Check this by plugging in the other point you have not checked yet (-3, -5).

y = 15x + 40

-5 = 15(-3) + 40

-5 = -45 + 40

-5 = -5

Your equation is correct.

Hope this helps!


Related Questions

Goods include kennels, leads, toys and similar accessories for pets.

Look at the table.

About what percentage of the total amount is spent on Goods?

Answers

Answer:

Where is the table? Is there supposed to be an image attached?

Step-by-step explanation:

a company that receives the majority of its orders by telephone conducted a study to determing how long customers were willing to wait on hold before ordering a product. The length of waiting time was found to be a variable best approximated by an exponential distribution with a mean length of waiting time equal to 3 minutes. What proportion of customers having to hold more than 4.5 minutes will hang up before placing an order 0.51342 0.48658

Answers

Answer:

0.2231 = 22.31% of customers having to hold more than 4.5 minutes will hang up before placing an order

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The probability that x is lower or equal to a is given by:

[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]

Which has the following solution:

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

The probability of finding a value higher than x is:

[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]

The length of waiting time was found to be a variable best approximated by an exponential distribution with a mean length of waiting time equal to 3 minutes.

This means that [tex]m = 3, \mu = \frac{1}{3}[/tex]

What proportion of customers having to hold more than 4.5 minutes will hang up before placing an order?

This is:

[tex]P(X > 4.5) = e^{-\frac{1}{3}*4.5} = e^{-\frac{4.5}{3}} = e^{-1.5} = 0.2231[/tex]

0.2231 = 22.31% of customers having to hold more than 4.5 minutes will hang up before placing an order

At 8% sales tax, the total price of a color TV whose marked price is $425 is
A)$451
B)$459
C)$465.25
D)$425.75

Answers

Answer:

B 459

Step-by-step explanation:

After adding the sales tax of 8% to the marked price of the TV, the price of the TV will be equal to $459. Hence, option B is correct.

What is the Percentage?

The Latin term "per centum," which signifies "by the hundredth," was the source of the English word "percentage." Segments with a denominator of 100 are considered percentages.

In other terms, it is a relationship where the worth of the entire is always considered to be 100.

As per the given data in the question,

Sales tax on TV = 8%

Marked price of TV = $425

The total price of the TV, T = Tax + Marked Price

T = 8% × $425 + $425

T = $34 + $425

T = $459

Hence, the total price is $459.

To know more about Percentage:

https://brainly.com/question/29306119

#SPJ2

Is 5.094 greater or less than 5.904​

Answers

Answer:

Less

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

5.904 is greater because the 9 is closer to the decimal than the 9 of 5.094

Michael has 4 ten dollar and 7 five dollar bills he has 3 more ten dollar bills and 2 more ten dollar bills than Tamara. How much money does Tamara has

Answers

Answer:

she has only 24 dollors

put me brainliest please

Step-by-step explanation:

4-10$

7-5$

3 more-10$

2 more with =Tamara- 10$

Answer all questions, your combing like terms. Show ALL of you work! Thank you!!

1. -5x-13+3y-7x-12y+7

2. -3 (4x-12)

3. If x=7, 6x-282

4. If x= -2 and y=7 6x+2(y+x)

5. x-23=-80

6. 12x= -72

7. x/4 = 12

8. 3x+12=72

9. x/4 - 8= - 80

10. -4 ( 1 - 5n ) - 8n = 92

Answers

6 .&/&/8/ I. 2&8, six 8:9.

Help me with this question please

Answers

Answer:

y = x² - 8x + 18

Step-by-step explanation:

vertex form based on vertex of (4,2) and point (2,6)

y = a(x - 4)² + 2

find 'a':

6 = a(2 - 4)² + 2

6 = 4a + 2

4 = 4a

a = 1

Convert y = (x - 4)² + 2 to standard form:

y = x² - 4x - 4x + 16 + 2

y = x² - 8x + 18

The mean of your test scores is 83.75. Three of your scores are 71, 89, 100. What is your fourth test score

Answers

Answer:

75

Step-by-step explanation:

(71+89+100+x)/3=83.75

(83.75*4)

335-100-89-71=75

Evaluate: 2x-5y for x=-7 and y=-2

Answers

Answer:

-4

Step-by-step explanation:

1. Substitute the x values and y values

2(-7) -5(-2)

-14 +10

-4

X2+4x+? = (x+?)2
Complete the square to form a true equation

Answers

Answer:

Step-by-step explanation:

x^2 - 4 * x + 4 = (x - 2)^2.

Answer 4 and 2

Step by step exploration

x^2+4x+4 = (x+2)^2
(From formula (a+b)^2=a^2+2ab+b^2)

multipaction equation that will help find the number 23

Answers

Answer:

23*1, -23*-1

its prime sorry bestie

it's a prime equation sorry

HELP I’LL DO ANYTHING I ALSO HATE LINKS SO PLEASE NOOOOO LINKS

Answers

Answer:

0.7

Step-by-step explanation:

_______

0.7

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

if y-8=5x, what is x when the value of y= -87

Answers

Answer:

-19

Step-by-step explanation:

Hope this helps

Answer: Y-8=5X  Y=-87  -87-8=5X  -95=5x  -95 divided by 5 = -19

X= -19

Step-by-step explanation:Quick mafs

Find the measure of angle x 11

Answers

Answer:

x = 11°

(vertically opposite angles)

X=11° due to the Vertical Angles Theorem

HELP PLEASE
How many modes, if any, are shown in the frequency distribution below?


A.
2
B.
3
C.
1
D.
none

Answers

Answer:

b

Step-by-step explanation:

I mean I believe its b it looks like theres three

The vertex of f(x) is (2, - 3) . is the vertex of f(x) + 3

Answers

Answer:

D. (2 , 0)

Step-by-step explanation:

f(x) + d --> (x , y) -> (x , y+d)

(2 , -3) -> (2 , -3+3) -> (2 , 0)

Drag each item to the appropriate space on the proof.

Answers

Answer:

The answer is attached

Step-by-step explanation:

See the picture for matching reasons

on January 17 2014 snow fell for 3 3/4 hours in Amarillo Texas if it snowed a total of 3 feet how much snow fell per hour?

Answers

Answer:

Step-by-step explanation:

1 2/8 feet of snow

What is the degree of vertex F

Answers

Answer: 1

Step-by-step explanation:

What is the solution to the following equation?

5(2x − 12) + 21 = 2x + 41

5
8
10
72

Answers

Answer:

10

Explanation:

1 0  −  6 0  +  2 1 =  2  +  4 1

1 0  −  3 9  = 2  +  4 1

1 0 −  3 9  +  3 9  =  2  +  4 1  +  3 9

x = 10

Which decimal is the least a- 2.22,b 2.02 c- 2.002 d 2.2​

Answers

Answer:

-2.002 is the least

Step-by-step explanation:

both positives are already crossed out its between both negatives -2.002 is less that -2.22

Acellus
Complete the function for this graph.
3
1
y = -x - [?]+
1 2 3 4
-4 -3 -2 -1
-1
-2
-31
4
Enter

Answers

Answer:

-4-3-2-1

Step-by-step explanation:

the answer is -4-3-2-1

£150 is divided between Nick, June & Sushil so that Nick gets twice as much as June, and
June gets three times as much as Sushil. How much does June get?

Answers

Answer:

Amount June get = £45

Step-by-step explanation:

Given:

Total amount divided = £150

Amount Nick get = 2 x Amount June get

Amount June get = 3 x Amount Sushil get

Find:

Amount divided between Nick June and Sushil

Computation:

Assume;

Amount Sushil get = a

Amount June get = 3 x Amount Sushil get

Amount June get = 3a

Amount Nick get = 2 x Amount June get

Amount Nick get = 2 x 3a

Amount Nick get = 6a

Amount Sushil get + Amount June get + Amount Nick get = Total amount

So,

a + 3a + 6a = 150

10a = 150

a = 15

So,

Amount Sushil get = £15

Amount June get = 3a

Amount June get = 3 x 15

Amount June get = £45

Amount Nick get = 6a

Amount Nick get = 6 x 15

Amount Nick get = £90

someone please help me answer this!!

Answers

Answer:

2 in the first blank

3in the second

Step-by-step explanation:

25^(1/3)=2.924

Fill in the blanks to show the product.

Answers

Answer:

Hope this is helpful for you

In 3/13 the 3 is called the:

index
radical sign
radicand
radical

Answers

Answer:

index

Step-by-step explanation:

NEED HELP ASAP What is the perimeter of the triangle

Answers

Answer:

its a right angle and a its an acute angle as well so it be 5

Can Someone please help me?

Answers

i dont get it either sorry

Answer:

8.5 inches

Step-by-step explanation:

used quadratic formula for 4x² + 9x - 360

What is the relationship between DE and FG ? Select all that apply.

Answers

Could you add more information like the picture of the figure where these lines are from?

Answer:

I need more info to answer this question.

Step-by-step explanation:

Which statement best explains the relationship
between lines AB and CD?
They are parallel because their slopes are equal.
They are parallel because their slopes are negative
reciprocals.
They are not parallel because their slopes are not
equal.
They are not parallel because their slopes are
negative reciprocals.

Answers

Answer:

they are parallel because their slopes are equal.

Answer:

A

Step-by-step explanation:

hope this helped!

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