The points (6, 9) and (0, 6) fall on a particular line. What is its equation in slope-intercept form?

Answers

Answer 1

Answer:

[tex]y = \frac{1}{2}x + 6[/tex]

Step-by-step explanation:

[tex]Let \ (x _1 y _ 1 ) = ( 6 , 9 ) \ and \ (x _ 2 , y _ 2 ) \ = ( 0 , 6 )\\\\[/tex]

Step 1 : Find slope, m

              [tex]slope, m = \frac{y _ 2 - y _ 1}{x_ 2 - x_ 1 } = \frac{6 - 9}{0 - 6 } = \frac{-3}{-6} = \frac{1}{2}[/tex]

Step 2 : Find the equation

                [tex](y - y _ 1 ) = m ( x - x_ 1) \\\\( y - 9 ) = \frac{1}{2} (x - 6 ) \\\\y = \frac{1}{2}x - 3 + 9 \\\\y = \frac{1}{2}x + 6[/tex]

Answer 2

Answer:

y = 1/2x + 6

Step-by-step explanation:

y = mx + b is the formula. m is the slope and to calculate that you use the slope formula y2 - y1/ x2 - x1.

(6, 9)  is the first coordinate so 6 is x1 and 9 is y1. Similarly in (0, 6), x2 is 0 and y2 is 6. Now if we put that into the slope formula it would look something like this: 6-9/0-6. that comes to -3/-6. simplify and cancel out the negatives and you get 1/2 which is the m ( slope).

The b is the y-intercept, which is the y value for where the x is 0. In this question, they already give you the coordinate where x is 0. (0, 6). x is 0 and y is 6. therefore the b (y-intercept) is 6.

Put all of this into y =mx +b, and you get y= 1/2x + 6.

If you want to make sure you did it right, just plug in one of the coordinates into this equation. Let's use  (6, 9).

9 = 1/2 (6) + 6

9 = 3 + 6

9 = 9. It works out, therefore the equation right.

Hope this helps


Related Questions

Pls Answer the first one and the second question

Answers

Answer:

here wo go with the answerrrrrrrrrrr

Answer:

(a) [tex]10\frac{13}{35}[/tex]

Step-by-step explanation:

[tex]\frac{1}{2\frac{4}{7} }+ \frac{1}{8\frac{4}{5} }+ \frac{1}{\frac{3}{7} }[/tex]

[tex]\frac{1}{\frac{18}{7} }+ \frac{1}{\frac{44}{5} }+ \frac{1}{\frac{3}{7} }[/tex]

[tex]\frac{18}{7} + \frac{44}{5} + {\frac{3}{7}[/tex]

[tex]\frac{40+308+15}{35}[/tex]

[tex]\frac{363}{35}=10\frac{13}{35}[/tex]

I don’t understand this equation. m= -3 and b = 3

Answers

can you please put the equation so i can answer it?

thank you!

Can you please put the equation so that we could answer it

18.
Which of the following are the coordinates of the vertex of y= x2 - 10x + 2?

A. (–5, 23)

B. (–10, 2)

C. (5, –23)

D. (2, –10)

Answers

B ( -10 , 2 ) hope this helps you!!

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

C. (5, –23)

»»————- ★ ————-««  

Here’s why:  

I have graphed the given equation on a program. The vertex can be described as the 'turning point' of the parabola. When graphed, the parabola shows a vertex at (5, -23).See the graph below.

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

David gasta el 20% de su salario en el pago de los servicios básicos de su casa del resto gasta el 50% en alimentación si al final se queda con 2000 Córdoba cuanto gana David

Answers

Answer:

Gana 6666,67 Córdoba de los cuales

gasta 3333,33 en alimentos y 1333,33 en servicios.

Step-by-step explanation:

Se queda 2000 Córdoba

Gasta el 20% de su salario para pagar los servicios básicos de su casa.

Gasta el 50% de su salario en comida.

Suponga que gana x cantidad

luego

x = 0,2x + 0,5x + 2000

x = 0,7x + 2000

x-0,7x = 2000

0,3 veces = 2000

x = 2000 / 0,3

x = 6666,67

Gana 6666,67 Córdoba de los cuales

gasta 3333,33 en alimentos y 1333,33 en servicios.

He keeps 2000 Córdoba

He spends  20% of his salary to pay for the basic services of his hous.

He spends 50% of his salary to pay on food.

Suppose he earns x amount

then

x= 0.2x+0.5x+2000

x= 0.7x+2000

x-0.7x=2000

0.3x= 2000

x= 2000/0.3

x= 6666.67

English

He earns 6666.67  Córdoba out of which

he spends 3333.33 on food and 1333.33 on services .

What is the value of x?
26°
オー
X=
[?]
Enter

Answers

273 and my proof is x is the value of 1 and the answer is 273 cause 26 degrees is the value of 273

Answer:

154 degrees

Step-by-step explanation:

A quadrilateral has the sum of the interior angles that is 360 degrees

for the tangent theorem we know that the angles where the lines intercept the circumference have a value of 90 degrees

x + 90 + 90 + 26 = 360

x + 206 = 360

x = 360 - 206

x = 154 degrees

angle I and N are complementary. If angle N has a meause of 48 degrees, find the measure of angle I

Answers

Answer:

42°

Step-by-step explanation:

Complementary angles are two angles that add up to 90°

1) 90-48 = 42

Hope this helps! :)

Answer:

angle I = 42 degree

Step-by-step explanation:

In complementary angles sum of two angles ia always 90 degree.

angle I +angle N=90 degree (since they are complementary)

substitute the value of angle N

angle I + 48 = 90

angle I = 90 -48

angle I =42 degree

find the points on the y-axis, each of which is at a distance of 13 units from the point (-5,7)​

Answers

Answer:

The answer is (0,19) or (0,-5).

By distance formula,

after squaring on both sides we and solving we get,

so, y=19 or -5

Step-by-step explanation:

you get the idea, but i don't think this is the answer yet?

Given: line a ∥ line b. If m∠7 = 63° , then m∠4 = __ ? __.

Answers

Answer:

<1

Step-by-step explanation:

How much growth or decay is 50(1.05)^t<100

Answers

Answer:

5% growth.

Step-by-step explanation:

1.05 = 1 + 0.05 = 1 + 5%

It is 5% growth.

Determine the value for x in the picture below.

Answers

Answer:

x=9

Step-by-step explanation:

Similar triangles

8/20 = 6/(x+6)

==> 2/5 = 6/(x+6)

2/5x+12/5=6

2/5x=18/5

x=9

Answer is x = 6
I hope that helps

The sixth graders at Kingston Middle School voted for their favorite sport. The results are in the circle graph below. Favorite sports 3/20 Football 1/2 Basketball 1/2 Golf Baseball 1/10 If the 180 students in sixth grade get to choose a sport to play for a special reward, how many of these students will choose basketball?​

Answers

Answer:

90 Students.

Step-by-step explanation:

1/2 (Half) of 180 is 90.

Answer:

90 students will choose basketball

Step-by-step explanation:

half (1/2) choose basketball and half of 180 is 90

a ball is shot out of a homemade air cannon. It flies through the air such that its height, as a function of time, is given by: h= -16t^2 + 64t + 10. where h is the height of the ball in feet and t is the time since it was fired in seconds. Max estimates that it takes 4 seconds for the ball to hit the ground and Cole estimates it takes 5 second. Algebraically determine who is closer and support your answer.

Answers

Answer:

Max

Step-by-step explanation:

the function given that h = -16t³+64t+10

the general function Equation:

h = at²+bt+c

=> t at the highest point is defined by t = -b/2a

= -64/2(-16) = -64/-32 = 2 second

the total times that the ball hits the ground

= 2× 2 seconds = 4 seconds.

so, Max is right

Answer:

Solution given:

Let h=0=when the ball hit the ground,the height=0.

h= -16t^2 + 64t + 10.

0=16t²-64t-10

8t²-32t-5=0

∆=[tex] \frac{32±\sqrt{32²+4*5*8}}{2*8}=\frac{8±\sqrt{74}}{4}[/tex]

taking positive

t1=[tex] \frac{8+\sqrt{74}}{4}=4.15seconds[/tex]

t2=[tex] \frac{8-\sqrt{74}}{4}(t2<O)(neglected)[/tex]

So

t=4.15seconds closer to 4seconds.So

Max is closer.

Help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

have you tried photo math?

On a coordinate plane, a line goes through points (1, negative 1) and (2, 4). This graph displays a linear function. What is the rate of change? Rate of change =

Answers

Answer:

5

just took the test

Answer:

Step-by-step explanation:

its 5

The points (4,1) and (x, -6) lie on the same line. If the slope of the line is 1, what is the value of x? A. X = -3 B. X = 3 C. X = 9 D. X = 11

Answers

Answer:

Step-by-step explanation:

Use the slope formula here along with the fact that the slope is equal to 1:

[tex]1=\frac{-6-1}{x-4}[/tex] and

[tex]1=\frac{-7}{x-4}[/tex]  and cross multiply to get x - 4 = -7 so

x = -3

Abigail buys two cartons of strawberries. One carton has 19 berries and the other carton has 26 berries. She wants to divide the berries into bags so there are exactly 6 berries in each bag. How many bags will have 6 berries?

Answers

Answer:

7.5 bag

Step-by-step explanation:

Carton #1: 19 berries

Carton #2: 26 berries

^^add them up together to get hte total amount of berries! 19 + 26 = 45

She has 45 berries in total, then you divid it by 6 aka the amount of berries she wants in each bag 45 ÷ 6 = 7.5

When she divids them up she has 7 bags with 6 berries in each and 1 bag with 3 berries.

in Lisa’s school, 53% of students take a bus to school, 38% go the bus riders were late one snowy morning. 25% of students who don’t take a bus to school were not late that morning. What percent of students who do not take the bus was late that morning?

Answers

Answer:

I got 53% but I'm not sure

Step-by-step explanation:

if 53% of students take the bus, then 47% of students DON'T.

25% (the percent of non-riding students who were late) of 47 is about 53%

Write an equation for a line that is perpendicular to the line 6y – 9x = 12

Answers

Answer:

y = -2/3x + 4

Step-by-step explanation:

first we take the original equation and convert it to y=mx+b (a form we know how to graph)

that gives us y = 3/2x + 2

(Here's my work for that):

6y - 9x = 12; add 9x on both sides

6y = 9x + 12; divide 6 on both sides

y = 9/6x + 12/6

y = 3/2x + 2

next to make a line *perpendicular* to this, we make the slope negative and swap the fraction (-2/3)

then we just uh graph that slope and try to find the y intercept. i did it already and i got 4

Answer:

Step-by-step explanation:

You need one more piece of information to get a specific line. I'll get the general one and then we'll see what comes of it.

Add 9x to both sides.

6y - 9x + 9x = 9x + 12

6y = 9x + 12                   Divide by 6

6y/6 = 9x/6 + 12/6

y = 1.5x + 2

Now the perpendicular line must have a slope that is found by using

m1 * m2 = - 1

m1 = 1.5             From the equation above.

1.5 * m2 = - 1     Divide by 1.5

m2 = -1/1.5

m2 = - 2/3

So far what you have is

y = -2/3 x + b                  You need a value for b. Usually that is found with a point. But I will just call b = 1 since there is nothing else to do

The complete equation becomes

y = -2/3 x + 1

The graph is enclosed.

what is 2/3 of 4 hours and 30 minutes?

Answers

The answer is 3 hours

"Darcie wants to crochet a minimum of 333 blankets to donate to a homeless shelter. Darcie crochets at a rate of 1/15 of a blanket per day. She has 60 days until when she wants to donate the blankets, but she also wants to skip crocheting some days so she can volunteer in other ways. Write an inequality to determine the number of days, s, Darcie can skip crocheting and still meet her goal." pls help lol

Answers

Answer:

Ive seen this question before, its supposed to be 3 blancckets and 15 days can be skipped

Step-by-step explanation:

60-45= 15

15 times 3 is 45

What is the common ratio for the sequence 5.-10. 20.-40. ?
-2
-1/2
1/2
2​

Answers

Answer:

-1/5

Step-by-step explanation:

i think thsts correct answer if not the answer is 1/2

Brainliest question!


What’s the digit you need to input in the space with the question mark to complete the code for the safe? Here’s a hint to save you some stress: The “Safe A08” text on the bottom is meaningless, so don’t waste time trying to figure out if that will help you get the answer!

Answers

Answer:

4 will replace?

Step-by-step explanation:

as 3-2=1

6-4=2

4-1=3

8-2=6

again

3-2=1

so

6-x=2

6-2=x

4

plz mark it as brainliest answer

A family of 5 bought airline tickets. In addition to their ticket,each person had to pay $39 to check their bag. They spent a total of $1640.
Find the price of each airline ticket

Answers

Answer:

289

Step-by-step explanation:

5 people pay 39 each for their bag, so, 5*39 is 195

now you have to subtract the cost of the baggage(195) from 1640 to be able to get the total cost of tickets- 1640-195 is 1445

the last thing you do is divide the total cost of tickets by the number of people- 1445/5 is 289

Pleaseeeee help me!!!

Answers

Answer:

a = -1  b=0  and c=1

Step-by-step explanation:

-x^2 +0x+1

This is in the form

ax^2 +bx+c

a = -1  b=0  and c=1

Find the missing side. Round to the nearest tenth.
A.7.1
B.5.1
C.5.1
D.6.1​

Answers

Answer:

5,1

Step-by-step explanation:

x= tan27⁰ x 10 ≈ 5,1

.....

Answer:

b or c or 5.1

Step-by-step explanation:

The basic trig identity that does not involve the hypotenuse is the Tan(theta).

Tan(theta) = opposite / adjacent. That definition applies only to a right triangle. It has to be modified if the triangle is some other kind.

The opposite side is the one not making up the reference angle (x in this case).

The adjacent side is the one making up the angle that is not the hypotenuse.

opposite side = x

adjacent side = 10

theta = 27 degrees.

Tan(theta) = opposite / adjacent

Tan(27) = x / 10

Tan(27) = 0.5095

0.5095 = x / 10               Multiply by 10

10*0.5095 = x

x = 5.095

It rounds to 5.1

No one except the answer key can know whether to choose b or c.

What is the area of the rectangle above


A.48 square cm

B.28 square cm

C.14 square cm

D. 24 square cm

Answers

Answer:

24

Step-by-step explanation:

Area = width * length

Given width = 2cm

Given length = 12cm

Area = 2 * 12 = 24

Pleaseee help ASAP !!!!!!!!!!!

Answers

Given:

The dimensions of base are 5 cm and 5cm.

The height of the pyramid is 3 cm.

To find:

The volume of the pyramid.

Solution:

The volume of a pyramid is:

[tex]V=\dfrac{1}{3}Bh[/tex]                ...(i)

Where, B is the base area and h is the height of the pyramid.

The base area of the given pyramid is:

[tex]B=length \times width[/tex]

[tex]B=5 \times 5[/tex]

[tex]B=25[/tex]

Substituting [tex]B=25[/tex] and [tex]h=3[/tex] in (i), we get

[tex]V=\dfrac{1}{3}(25)(3)[/tex]

[tex]V=25[/tex]

Therefore, the volume of the given pyramid is 25 cm³. Hence, the correct option is A.

If the pentagon below is to be reflected over the line y=x, what are the new coordinates of the vertices?

Answers

Answer:

K' (-2, -2)

L' (3, -2)

G' (4,0)

H' (3,2)

J' (-2, 2)

Step-by-step explanation:

list all the coordinates of the image, and apply the y=x rule of reflection. The line y=x states that the previous y is now in the x and vice versa.

K(-2, -2)

L(-2, 3)

G(0,4)

H(2,3)

J(2, -2)

The ratio of coloured paper the white paper is 3:8 if there are 48 white paper how many coloured paper are there

Answers

Answer:

18

Step-by-step explanation:

Calculation to determine how many coloured paper are there

Let 3x represent the number of coloured papers

Let 8x represent the number of white papers

Given that 8x=48

Hence,

x=48/8

x=6

Now let determine how many coloured paper are there

Coloured paper=3x

Coloured paper=3(6)

Coloured paper=18

Thereffore the number of coloured paper that are there is 18

Solve the equation. 6g = 48 what does g equal?

Answers

Answer:

8

Step-by-step explanation:

First we need to figure out what g equals

Since 6 x 8 = 48 your answer would be 8

6 x 8 = 48

~ LadyBrain

The value of g that satisfies the equation is 8.

To solve the equation 6g = 48 and find the value of g, we can isolate the variable g by dividing both sides of the equation by 6:

6g / 6 = 48 / 6

This simplifies to:

g = 8

Therefore, g equals 8. By dividing both sides of the equation by 6, we find that when g is multiplied by 6, it results in 48. Hence, the value of g that satisfies the equation is 8.

To know more about equation:

https://brainly.com/question/10724260


#SPJ6

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